Shannon Information in K-records for Pareto-type Distributions

Zohreh Zamani, Mohsen Madadi
2018 Journal of Statistical Theory and Applications (JSTA)  
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.
doi:10.2991/jsta.2018.17.3.3 fatcat:zn2tqhmgebdjvnw3p6l6exc4wu