Volume no :18, Issue no: 2, December

Journal of Statistics: Advances in Theory and Applications

EXPECTATION IDENTITIES OF GENERALIZED RECORD VALUES FROM NEW WEIBULL-PARETO DISTRIBUTION AND ITS CHARACTERIZATION

Author's: M. A. R. Khan, R. U. Khan and M. A. Khan
Pages: [87] - [102]
Received Date: October 25, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121880

Abstract

In this paper, we consider New Weibull-Pareto distribution, was recently introduced by Nasiru and Luguterah [16]. Exact expressions as well as some recurrence relations for single and product moments of generalized upper record values (k-th upper record values) are derived. Further, various deductions and particular cases are discussed. At the end, the characterization results based on conditional expectation and recurrence relations are presented and some computational work also carried out.

Keywords

order statistics, generalized record values, k-th record values, New Weibull-Pareto distribution, single moments, product moments, recurrence relations, conditional expectation and characterization.