Shannon Information in K-records for Pareto-type Distributions

Abstract

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.

Keywords

• K-record values
• K-record times
• Shannon information
• Digamma function
• Zeta function
• Differential entropy