Shannon Information in K-records for Pareto-type Distributions

被引：0
|
作者：
Zohreh Zamani
Mohsen Madadi
机构：
[1] Shahid Bahonar University of Kerman,Department of Statistics, Faculty of Mathematics and Computer
来源：
Journal of Statistical Theory and Applications | 2018年 / 17卷 / 3期
关键词：
K-record values; -record times; Shannon information; Digamma function; Zeta function; Differential entropy; Record data;
D O I：
10.2991/jsta.2018.17.3.3
中图分类号：
学科分类号：
摘要：
Pareto distributions provides models for many applications in the social, natural and physical sciences. In this paper, we derive the Shannon information contained in upper (lower) k-record values and associated k-record times of Pareto-type distributions for a finite sample of fixed size and for an inverse sampling plan. Properties of the Shannon information of the k-record values associated with Pareto-type distributions are investigated, both analytically and numerically.
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页码：419 / 438
页数：19
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