期刊名称:Journal of Modern Applied Statistical Methods
出版年度:2018
卷号:17
期号:1
页码:6
出版社:Wayne State University
摘要:The complementary exponential-geometric (CEG) distribution is a useful model for analyzing lifetime data. For this distribution, some recurrence relations satisfied by marginal and joint moment generating functions of k-th lower record values were established. They enable the computation of the means, variances, and covariances of k-th lower record values for all sample sizes in a simple and efficient recursive manner. Means, variances, and covariances of lower record values were tabulated from samples of sizes up to 10 for various values of the parameters.
关键词:k-th lower record value; marginal and joint moment generating function; recurrence relations; complementary exponential-geometric distribution.