期刊文献+

“线性回归参数的固定大小序贯置信域的渐近理论”的改进 被引量:1

An improvement to "On the asymptotic theory of fixed-size sequential confidence bounds for linear regression parameters
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摘要 序贯抽样一直是一个重要的统计研究领域,Gleser在世界著名刊物:《统计年刊》中发表了一篇重要文章[3]。然而Gleser的结果在实际应用中很不便于操作,甚至不可行。本文构造了一个新的置信域,改进了Gleser的结果使其更具有应用性。 Sequential sampling is always an important field for sta ti stical resarchers,and Gleser's paper published in Annals of Mathemati cal Statistics proposed some interesting results. However, his results are quite not convenient to operate in practical applications and are even not feasible. In this paper, a new confidence bounds are constructed, resulting in improving t he results of Gleser so as to make them more applicable.
出处 《安徽大学学报(自然科学版)》 CAS 2003年第3期12-15,共4页 Journal of Anhui University(Natural Science Edition)
基金 国家自然科学基金资助项目(10271001)
关键词 序贯抽样 数理统计 线性回归参数 区间估计 置信域 渐近理论 渐近相容 渐近有效 confidence bounds sequential sampling asymptotically co nsistent
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参考文献5

  • 1陈桂景,R.S.Singh.关于渐近中位无偏估计的渐近效率(英文)[J].安徽大学学报(自然科学版),1998,22(3):1-17. 被引量:1
  • 2Chow, Y S and H Bobbins. On the asymptotic theory of fixed - width sequential confidence intervals for the mean[J] .Ann Math Statist, 1965,36: 457- 462.
  • 3Glezer, L J. On the asymptotic theory of fLxed- size sequential confidence bounds for linear regression parameters[J] .Ann Math Statist, 1965,36:463- 467.
  • 4Gteser, L J. Correction to "on the asymptotic theory of fixed - size sequential confidence bounds for linear regression parameters"[J]. Ann Math Statist, 1966,37:1053- 1055.
  • 5Anscombe, F J. Large sample theory of sequential estimation[J] .Proc Camb Phil Soc, 1952,48:600- 607.

同被引文献7

  • 1Chow Y S, Robbins H. On the asymptotic theory of fixedwidth sequential eonfideee intervals for the mean [J]. Ann Math Statist, 1965,36 :457-462.
  • 2Gleser L J. On the asymptotic theory ol fixed-size sequential conlidence hounds lor linear regression parameters[J]. Ann Math Statist, 1965,36: 463-467.
  • 3Gleser L J. Correction to “On the asymptotic theory of fixed-size sequential confidence hounds for linear regression parameters”[J]. Ann Math Statist, 1966,37 : 1053-1055.
  • 4复旦大学数学系.概率论:数理统计[M].北京:高等教育出版社,1979.297-298.
  • 5陈希孺,方兆本,李国英,等.非参数统计[M].上海:上海科学技术出版社,1987,6-400.
  • 6Serfling R J. Approximation theorems of mathematical statistics[M]. New York, John Wiley and Sons, 1980, 94.
  • 7Anscombe F J. Large sample theory of sequential estimation[J].Proe Camb Phil Soe, 1952,48: 600-607.

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