Shannon Information in K-records for Pareto-type Distributions

Journal of Statistical Theory and Applications (JSTA)

关键词: K-record values;    K-record times;    Shannon information;    Digamma function;    Zeta function;    Differential entropy;   

DOI  :  10.2991/jsta.2018.17.3.3

来源: DOAJ

【 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.

【 授权许可】

Unknown