A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively depe...A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables.展开更多
Some probability inequalities are established for extended negatively dependent(END) random variables. The inequalities extend some corresponding ones for negatively associated random variables and negatively orthant ...Some probability inequalities are established for extended negatively dependent(END) random variables. The inequalities extend some corresponding ones for negatively associated random variables and negatively orthant dependent random variables. By using these probability inequalities, we further study the complete convergence for END random variables. We also obtain the convergence rate O(n-1/2ln1/2n) for the strong law of large numbers, which generalizes and improves the corresponding ones for some known results.展开更多
In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of co...In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables are established. These results generalize and complement some known conclusions.展开更多
M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large devi...M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large deviation principles and moderate deviation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.展开更多
RANKL signaling is essential for osteoclastogenesis. Its role in osteoblastic differentiation and bone formation is unknown. Here we demonstrate that RANK is expressed at an early stage of bone marrow mesenchymal stem...RANKL signaling is essential for osteoclastogenesis. Its role in osteoblastic differentiation and bone formation is unknown. Here we demonstrate that RANK is expressed at an early stage of bone marrow mesenchymal stem cells(BMSCs) during osteogenic differentiation in both mice and human and decreased rapidly. RANKL signaling inhibits osteogenesis by promoting β-catenin degradation and inhibiting its synthesis. In contrast, RANKL signaling has no significant effects on adipogenesis of BMSCs.Interestingly, conditional knockout of rank in BMSCs with Prx1-Cre mice leads to a higher bone mass and increased trabecular bone formation independent of osteoclasts. In addition, rank: Prx1-Cre mice show resistance to ovariectomy-(OVX) induced bone loss. Thus, our results reveal that RANKL signaling regulates both osteoclasts and osteoblasts by inhibition of osteogenic differentiation of BMSCs and promotion of osteoclastogenesis.展开更多
Objective The changes in serum adipokines and cytokines related to oxidative stress were examined during 3 months ‘Off to On’ and ‘On to Off’ periods using negatively charged particle-dominant indoor air condition...Objective The changes in serum adipokines and cytokines related to oxidative stress were examined during 3 months ‘Off to On’ and ‘On to Off’ periods using negatively charged particle-dominant indoor air conditions（NCPDIAC）.Methods Seven volunteers participated in the study,which included ‘OFF to 3 months ON’ periods（ON trials） for a total of 16 times,and ‘ON to 3 months OFF’（OFF trials） periods for a total of 13 times.Results With the exception of one case,serum amyloid A（SAA） levels decreased significantly during the ON trials.Conclusion Considering that SAA is an acute phase reactive protein such as C reactive protein（CRP）,this observed decrease might indicate the prevention of cardiovascular and atherosclerotic changes,since an increase in high-sensitive CRP is associated with the subsequent detection of these events.展开更多
Glomerella leaf spot(GLS)of apple(Malus×domestica Borkh.),caused by Glomerella cingulata,is an emerging fungal epidemic threatening the apple industry.Little is known about the molecular mechanism underlying resi...Glomerella leaf spot(GLS)of apple(Malus×domestica Borkh.),caused by Glomerella cingulata,is an emerging fungal epidemic threatening the apple industry.Little is known about the molecular mechanism underlying resistance to this devastating fungus.In this study,high-throughput sequencing technology was used to identify microRNAs(miRNAs)involved in GLS resistance in apple.We focused on miRNAs that target genes related to disease and found that expression of a novel miRNA,Md-miRln20,was higher in susceptible apple varieties than in resistant ones.Furthermore,its target gene Md-TN1-GLS exhibited the opposite expression pattern,which suggested that the expression levels of Md-miRln20 and its target gene are closely related to apple resistance to GLS.Furthermore,downregulation of MdmiRln20 in susceptible apple leaves resulted in upregulation of Md-TN1-GLS and reduced the disease incidence.Conversely,overexpression of Md-miRln20 in resistant apple leaves suppressed Md-TN1-GLS expression,with increased disease incidence.We demonstrated that Md-miRln20 negatively regulates resistance to GLS by suppressing Md-TN1-GLS expression and showed,for the first time,a crucial role for miRNA in response to GLS in apple.展开更多
In this paper, an exponential inequality for the maximal partial sums of negatively superadditive-dependent （NSD, in short） random variables is established. By uSing the exponen- tial inequality, we present some gen...In this paper, an exponential inequality for the maximal partial sums of negatively superadditive-dependent （NSD, in short） random variables is established. By uSing the exponen- tial inequality, we present some general results on the complete convergence for arrays of rowwise NSD random variables, which improve or generalize the corresponding ones of Wang et al. [28] and Chen et al. [2]. In addition, some sufficient conditions to prove the complete convergence are provided. As an application of the complete convergence that we established, we further investigate the complete consistency and convergence rate of the estimator in a nonparametric regression model based on NSD errors.展开更多
In this paper, the authors present some new results on complete moment convergence for arrays of rowwise negatively associated random variables. These results improve some previous known theorems.
In the paper, the strong convergence properties for two different weighted sums of negatively orthant dependent(NOD) random variables are investigated. Let {X, n ≥ 1}be a sequence of NOD random variables. The results...In the paper, the strong convergence properties for two different weighted sums of negatively orthant dependent(NOD) random variables are investigated. Let {X, n ≥ 1}be a sequence of NOD random variables. The results obtained in the paper generalize the corresponding ones for i.i.d. random variables and identically distributed NA random variables to the case of NOD random variables, which are stochastically dominated by a random variable X. As a byproduct, the Marcinkiewicz-Zygmund type strong law of large numbers for NOD random variables is also obtained.展开更多
Some exponential inequalities and complete convergence are established for extended negatively dependent(END) random variables. The inequalities extend and improve the results of Kim and Kim(On the exponential inequal...Some exponential inequalities and complete convergence are established for extended negatively dependent(END) random variables. The inequalities extend and improve the results of Kim and Kim(On the exponential inequality for negative dependent sequence.Communications of the Korean Mathematical Society, 2007, 22(2): 315-321) and Nooghabi and Azarnoosh(Exponential inequality for negatively associated random variables. Statistical Papers, 2009, 50(2): 419-428). We also obtain the convergence rate O(n-1/2ln1/2n) for the strong law of large numbers, which improves the corresponding ones of Kim and Kim,and Nooghabi and Azarnoosh.展开更多
By using Rosenthal type moment inequality for extended negatively de- pendent random variables, we establish the equivalent conditions of complete convergence for weighted sums of sequences of extended negatively depe...By using Rosenthal type moment inequality for extended negatively de- pendent random variables, we establish the equivalent conditions of complete convergence for weighted sums of sequences of extended negatively dependent random variables under more general conditions. These results complement and improve the corresponding results obtained by Li et al. （Li D L, RAO M B, Jiang T F, Wang X C. Complete convergence and almost sure convergence of weighted sums of random variables. J. Theoret. Probab., 1995, 8： 49-76） and Liang （Liang H Y. Complete convergence for weighted sums of negatively associated random variables. Statist. Probab. Lett., 2000, 48： 317-325）.展开更多
In this paper, by using some inequalities of negatively orthant dependent(NOD,in short) random variables and the truncated method of random variables, we investigate the nonparametric regression model. The complete co...In this paper, by using some inequalities of negatively orthant dependent(NOD,in short) random variables and the truncated method of random variables, we investigate the nonparametric regression model. The complete consistency result for the estimator of g(x) is presented.展开更多
Objective:This study was conducted to examine the effect of focal adhesion kinase-associated non-kinase(FRNK)overexpression or inhibition on hepatic stellate cell(HSC)-mediated liver fibrosis progression and to explor...Objective:This study was conducted to examine the effect of focal adhesion kinase-associated non-kinase(FRNK)overexpression or inhibition on hepatic stellate cell(HSC)-mediated liver fibrosis progression and to explore the role of FRNK in improving liver fibrosis.Methods:i)Using primary mouse HSCs and the human HSC cell line LX-2.展开更多
For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtai...For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtain the complete convergence rates. Our results extend some known ones.展开更多
In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient condit...In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient conditions of strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we consider the limit as which is stronger than the limit as m× n→?∞ when m, n →?∞?are natural numbers.展开更多
In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient con...In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.展开更多
Let {X_(nk), k ≥ 1, n ≥ 1} be an array of rowwise negatively superadditive dependent random variables and {a_n, n ≥ 1} be a sequence of positive real numbers such that a_n↑∞. Under some suitable conditions,L_r co...Let {X_(nk), k ≥ 1, n ≥ 1} be an array of rowwise negatively superadditive dependent random variables and {a_n, n ≥ 1} be a sequence of positive real numbers such that a_n↑∞. Under some suitable conditions,L_r convergence of 1/an max 1≤j≤n |j∑k=1 X_(nk)| is studied. The results obtained in this paper generalize and improve some corresponding ones for negatively associated random variables and independent random variables.展开更多
To determine whether the cyclooxygenase-2 (COS-2) selective inhibitor,｛N-[2-(cyclohexyloxy)-4-nitrophenyl]-methane sulfonamide｝ (NS398),can inhibit proliferation of COX-2 negatively expressed human prostate cancer c...To determine whether the cyclooxygenase-2 (COS-2) selective inhibitor,｛N-[2-(cyclohexyloxy)-4-nitrophenyl]-methane sulfonamide｝ (NS398),can inhibit proliferation of COX-2 negatively expressed human prostate cancer cell line PC-3 and induce its apoptosis in vitro.Methods The expression of COX-2 in cultured PC-3 cells was examined by RT-PCR and Western blot for mRNA and protein respectively.The proliferative inhibition of PC-3 cells by NS398 was observed by methyl thiazolyl tetrazolium (MTT) rapid photocolorimetric assay.PC-3 cells cultured in 100 μmol/L NS398 medium for 24 h was marked with AnnexinV-FITC and PI for the cell apoptosis assay by flow cytometry.Results COX-2 was not expressed in PC-3 cell line at either mRNA or protein level.The inhibitory rate of NS398 on proliferation micreased with the increasing concentration but was not time-dependent.Compared with the controls (10.563±2.582)%,PC-3 cells cultured in 100 μmol/L NS398 medium for 24 h had significantly higher incidence (19.307±3.773)% Ⅰ of early apoptosis (P=0.01).Conclusion NS398 can inhibit proliferation of COX-2 negatively expressed human prostate cancer cell line PC-3 and induce its apoptosis in vitro,which suggests its COX-2 independent pathway.10 refs,2 tabs.展开更多
Let {X j,j1} be a sequence of negatively associated random variables with EX j=0,EX 2 j【∞. In this paper a functional central limit theorem for negatively associated random variables under some conditio...Let {X j,j1} be a sequence of negatively associated random variables with EX j=0,EX 2 j【∞. In this paper a functional central limit theorem for negatively associated random variables under some conditions without stationarity is proved, which is the same as the results for positively associated random variables.展开更多
基金Supported by the National Natural Science Foundation of China（11201001） Supported by the Natural Science Foundation of Anhui Province（1208085QA03, 1308085QA03）+1 种基金 Supported by the Research Teaching Model Curriculum of Anhui University（xjyjkc1407） Supported by the Students Science Research Training Program of Anhui University（KYXL2014017）
Acknowledgement The authors are most grateful to the editor and anonymous referees for careful reading of the manuscript and valuable suggestions which helped in significantly improving an earlier version of this paper.
文摘A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables.
基金Supported by the Project of the Feature Specialty of China(TS11496)Supported by the Scientific Research Projects of Fuyang Teacher’s College(2009FSKJ09)
文摘Some probability inequalities are established for extended negatively dependent(END) random variables. The inequalities extend some corresponding ones for negatively associated random variables and negatively orthant dependent random variables. By using these probability inequalities, we further study the complete convergence for END random variables. We also obtain the convergence rate O(n-1/2ln1/2n) for the strong law of large numbers, which generalizes and improves the corresponding ones for some known results.
基金The NSF(10901003) of Chinathe NSF(1208085MA11) of Anhui Provincethe NSF(KJ2012ZD01) of Education Department of Anhui Province
文摘In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables are established. These results generalize and complement some known conclusions.
基金Partly supported by the National Natural Science Foundation of China and the Ministry of Education of ChinaPartly supported by the Science and Technology Research Item of Hubei Provincial Department of Education,Jiaghan University
文摘M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large deviation principles and moderate deviation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.
基金supported by the National Natural Science Foundation (NNSF) Key Research Program in Aging (91749204)National Natural Science Foundation of China (81871099, 31370958, 81701364, 81771491, 81501052)+1 种基金Shanghai Municipal Science and Technology Commission Key Program (15411950600, 18431902300)Municipal Human Resources Development Program for Outstanding Leaders in Medical Disciplines in Shanghai (2017BR011)
文摘RANKL signaling is essential for osteoclastogenesis. Its role in osteoblastic differentiation and bone formation is unknown. Here we demonstrate that RANK is expressed at an early stage of bone marrow mesenchymal stem cells(BMSCs) during osteogenic differentiation in both mice and human and decreased rapidly. RANKL signaling inhibits osteogenesis by promoting β-catenin degradation and inhibiting its synthesis. In contrast, RANKL signaling has no significant effects on adipogenesis of BMSCs.Interestingly, conditional knockout of rank in BMSCs with Prx1-Cre mice leads to a higher bone mass and increased trabecular bone formation independent of osteoclasts. In addition, rank: Prx1-Cre mice show resistance to ovariectomy-(OVX) induced bone loss. Thus, our results reveal that RANKL signaling regulates both osteoclasts and osteoblasts by inhibition of osteogenic differentiation of BMSCs and promotion of osteoclastogenesis.
基金supported by a Kawasaki Medical School Research Grant(28B051)
文摘Objective The changes in serum adipokines and cytokines related to oxidative stress were examined during 3 months ‘Off to On’ and ‘On to Off’ periods using negatively charged particle-dominant indoor air conditions（NCPDIAC）.Methods Seven volunteers participated in the study,which included ‘OFF to 3 months ON’ periods（ON trials） for a total of 16 times,and ‘ON to 3 months OFF’（OFF trials） periods for a total of 13 times.Results With the exception of one case,serum amyloid A（SAA） levels decreased significantly during the ON trials.Conclusion Considering that SAA is an acute phase reactive protein such as C reactive protein（CRP）,this observed decrease might indicate the prevention of cardiovascular and atherosclerotic changes,since an increase in high-sensitive CRP is associated with the subsequent detection of these events.
基金supported by funding from the National Natural Science Foundation of China(31872062)the Construction of Beijing Science and Technology Innovation and Service Capacity in Top Subjects(CEFF-PXM2019_014207_000032).
文摘Glomerella leaf spot(GLS)of apple(Malus×domestica Borkh.),caused by Glomerella cingulata,is an emerging fungal epidemic threatening the apple industry.Little is known about the molecular mechanism underlying resistance to this devastating fungus.In this study,high-throughput sequencing technology was used to identify microRNAs(miRNAs)involved in GLS resistance in apple.We focused on miRNAs that target genes related to disease and found that expression of a novel miRNA,Md-miRln20,was higher in susceptible apple varieties than in resistant ones.Furthermore,its target gene Md-TN1-GLS exhibited the opposite expression pattern,which suggested that the expression levels of Md-miRln20 and its target gene are closely related to apple resistance to GLS.Furthermore,downregulation of MdmiRln20 in susceptible apple leaves resulted in upregulation of Md-TN1-GLS and reduced the disease incidence.Conversely,overexpression of Md-miRln20 in resistant apple leaves suppressed Md-TN1-GLS expression,with increased disease incidence.We demonstrated that Md-miRln20 negatively regulates resistance to GLS by suppressing Md-TN1-GLS expression and showed,for the first time,a crucial role for miRNA in response to GLS in apple.
基金Supported by the National Natural Science Foundation of China(11501004,11501005,11526033,11671012)the Natural Science Foundation of Anhui Province(1508085J06,1608085QA02)+1 种基金the Key Projects for Academic Talent of Anhui Province(gxbj ZD2016005)the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)
文摘In this paper, an exponential inequality for the maximal partial sums of negatively superadditive-dependent （NSD, in short） random variables is established. By uSing the exponen- tial inequality, we present some general results on the complete convergence for arrays of rowwise NSD random variables, which improve or generalize the corresponding ones of Wang et al. [28] and Chen et al. [2]. In addition, some sufficient conditions to prove the complete convergence are provided. As an application of the complete convergence that we established, we further investigate the complete consistency and convergence rate of the estimator in a nonparametric regression model based on NSD errors.
基金Foundation item： Supported by the Humanities and Social Sciences Foundation for the Youth Schol- ars of Ministry of Education of China（12YJCZH217） Supported by the National Natural Science Foun- dation of China（l1271020）+1 种基金 Supported by the Key Natural Science Foundation of Anhui Educational Committee（KJ2011A139） Supported by the Natural Science Foundation of Anhui Province（1308085MA03, 1208085MA 11）
文摘In this paper, the authors present some new results on complete moment convergence for arrays of rowwise negatively associated random variables. These results improve some previous known theorems.
基金Supported by the National Natural Science Foundation of China(11671012,11501004,11501005)the Natural Science Foundation of Anhui Province(1508085J06)+2 种基金the Key Projects for Academic Talent of Anhui Province(gxbj ZD2016005)the Quality Engineering Project of Anhui Province(2016jyxm0047)the Graduate Academic Innovation Research Project of Anhui University(yfc100004)
文摘In the paper, the strong convergence properties for two different weighted sums of negatively orthant dependent(NOD) random variables are investigated. Let {X, n ≥ 1}be a sequence of NOD random variables. The results obtained in the paper generalize the corresponding ones for i.i.d. random variables and identically distributed NA random variables to the case of NOD random variables, which are stochastically dominated by a random variable X. As a byproduct, the Marcinkiewicz-Zygmund type strong law of large numbers for NOD random variables is also obtained.
基金Supported by the NSF of Anhui Province(1308085QA03,1408085QA02,1208085QA03)Supported by the Youth Science Research Fund of Anhui University+1 种基金Supported by the Students Innovative Training Project of Anhui University(201410357118)Supported by the Students Science Research Training Program of Anhui University(kyxl2013003)
文摘Some exponential inequalities and complete convergence are established for extended negatively dependent(END) random variables. The inequalities extend and improve the results of Kim and Kim(On the exponential inequality for negative dependent sequence.Communications of the Korean Mathematical Society, 2007, 22(2): 315-321) and Nooghabi and Azarnoosh(Exponential inequality for negatively associated random variables. Statistical Papers, 2009, 50(2): 419-428). We also obtain the convergence rate O(n-1/2ln1/2n) for the strong law of large numbers, which improves the corresponding ones of Kim and Kim,and Nooghabi and Azarnoosh.
基金The NSF(11271020 and 11201004)of Chinathe NSF(10040606Q30 and 1208085MA11)of Anhui Provincethe NSF(KJ2012ZD01)of Education Department of Anhui Province
文摘By using Rosenthal type moment inequality for extended negatively de- pendent random variables, we establish the equivalent conditions of complete convergence for weighted sums of sequences of extended negatively dependent random variables under more general conditions. These results complement and improve the corresponding results obtained by Li et al. （Li D L, RAO M B, Jiang T F, Wang X C. Complete convergence and almost sure convergence of weighted sums of random variables. J. Theoret. Probab., 1995, 8： 49-76） and Liang （Liang H Y. Complete convergence for weighted sums of negatively associated random variables. Statist. Probab. Lett., 2000, 48： 317-325）.
基金Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)Supported by the Students Innovative Training Project of Anhui University(201310357004,201410357117,201410357249)Supported by the Quality Improvement Projects for Undergraduate Education of Anhui University(ZLTS2015035)
文摘In this paper, by using some inequalities of negatively orthant dependent(NOD,in short) random variables and the truncated method of random variables, we investigate the nonparametric regression model. The complete consistency result for the estimator of g(x) is presented.
文摘Objective:This study was conducted to examine the effect of focal adhesion kinase-associated non-kinase(FRNK)overexpression or inhibition on hepatic stellate cell(HSC)-mediated liver fibrosis progression and to explore the role of FRNK in improving liver fibrosis.Methods:i)Using primary mouse HSCs and the human HSC cell line LX-2.
文摘For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtain the complete convergence rates. Our results extend some known ones.
文摘In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient conditions of strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we consider the limit as which is stronger than the limit as m× n→?∞ when m, n →?∞?are natural numbers.
基金Supported by the Natural Science Foundation of Anhui Province(1508085J06)Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)Supported by the Students Innovative Training Project of Anhui University(201510357118)
文摘In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.
基金Supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2015A018)Supported by the Students Science Research Training Program of Anhui University(kyxl2013003)+2 种基金Supported by the Students Innovative Training Project of Anhui University(201410357118)Supported by the Quality Engineering Project of Anhui Province(2015jyxm045)Supported by the Quality Improvement Project for Undergraduate Education of Anhui University(ZLTS2015035)
文摘Let {X_(nk), k ≥ 1, n ≥ 1} be an array of rowwise negatively superadditive dependent random variables and {a_n, n ≥ 1} be a sequence of positive real numbers such that a_n↑∞. Under some suitable conditions,L_r convergence of 1/an max 1≤j≤n |j∑k=1 X_(nk)| is studied. The results obtained in this paper generalize and improve some corresponding ones for negatively associated random variables and independent random variables.
文摘To determine whether the cyclooxygenase-2 (COS-2) selective inhibitor,｛N-[2-(cyclohexyloxy)-4-nitrophenyl]-methane sulfonamide｝ (NS398),can inhibit proliferation of COX-2 negatively expressed human prostate cancer cell line PC-3 and induce its apoptosis in vitro.Methods The expression of COX-2 in cultured PC-3 cells was examined by RT-PCR and Western blot for mRNA and protein respectively.The proliferative inhibition of PC-3 cells by NS398 was observed by methyl thiazolyl tetrazolium (MTT) rapid photocolorimetric assay.PC-3 cells cultured in 100 μmol/L NS398 medium for 24 h was marked with AnnexinV-FITC and PI for the cell apoptosis assay by flow cytometry.Results COX-2 was not expressed in PC-3 cell line at either mRNA or protein level.The inhibitory rate of NS398 on proliferation micreased with the increasing concentration but was not time-dependent.Compared with the controls (10.563±2.582)%,PC-3 cells cultured in 100 μmol/L NS398 medium for 24 h had significantly higher incidence (19.307±3.773)% Ⅰ of early apoptosis (P=0.01).Conclusion NS398 can inhibit proliferation of COX-2 negatively expressed human prostate cancer cell line PC-3 and induce its apoptosis in vitro,which suggests its COX-2 independent pathway.10 refs,2 tabs.
文摘Let {X j,j1} be a sequence of negatively associated random variables with EX j=0,EX 2 j【∞. In this paper a functional central limit theorem for negatively associated random variables under some conditions without stationarity is proved, which is the same as the results for positively associated random variables.
