摘要
设ｙ￣１，ｙ￣２…ｙ￣ｎ是相互独立的，取正整数值的随机变量，Ａ表示事件ｙ＿ｉ－ｙ＿（＋１）≥０；ｉ＝１．２…ｎ－１．那么我们证明在条件Ａ下ｙ＿ｉ－ｙ＿（ｉ＋１）与ｙ＿（ｉ＋１）是独立的，ｉ＝１，２…，Ｋ，当且仅当ｙ＿ｉ（ｉ＝１，２…ｋ）服从几何分布，这里１≤ｋ≤ｎ－１（ｋ个几何分布参数可以不同）。
Suppose y_1.y_2…,y_n is independent each other, choosing the random variate of psoitiveinteger value,A indicates event y_i-y_(i+1_)≥0;i=1,2,…,n= -1.In that way.in the condition of A.y_i-y_(i+×)-y_(i+×)and y_(i+1) are independent,i=1,2,…k. If and only if y_i(i=1,2,…k)submits geometric distribution.here 1≤k≤n-1. Note:k individual geometric distributed parameters may be differeiit.
关键词
刻划
条件独立
几何分布
随机变量
Rule,Independent condition,Geometric distribution
