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一类时变MAX序列样本均值的极限分布
引用本文:陈家鑫.一类时变MAX序列样本均值的极限分布[J].汕头大学学报(自然科学版),1990,5(2):57-68.
作者姓名:陈家鑫
摘    要:本文讨论来自一类时变MAX序列的一段样本(X_1,X_2,…,X_N)的联合特征函数的表示形式,并在一些简单的限制条件下给出样本均值N_~β(_N-E_N)渐近退化分布或正态分布的结论。

关 键 词:时变MAX序列  局外输入  扰动输入  时变MA序列  时不变MA序列  随机向量的联合特征函数  Levy—Cramer定理  极限分布

The limit Distribution of The Sample Mean for The Time-Varying MAX Series
Chen Jiaxin.The limit Distribution of The Sample Mean for The Time-Varying MAX Series[J].Journal of Shantou University(Natural Science Edition),1990,5(2):57-68.
Authors:Chen Jiaxin
Institution:Chen Jiaxin
Abstract:In this paper, We discuss the expression of joint characteristic function for a sample which comes from the time-varying MAX Series. Relying on some simple restrictive conditions, we prove that the sample mean N~β(_N—E_N)approximates the degenerate distribution or the Normal distribution.
Keywords:time-varying MAX Series  exogenous input  disturbance input  time-varging MA series  time-invariant MA series  joint characterstic function of random vector  Levy-Cramer theorem  limiting distribution
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