Pitman’s Measure of Closeness for Weighted Random Variables: Accepted: April 2022

Mosayeb Ahmadi; G. R. Mohtashami Borzadaran; Mostafa Razmkhah

Forthcoming

Pitman’s Measure of Closeness for Weighted Random Variables

Accepted: April 2022

Authors

Mosayeb Ahmadi University of Science and Technology of Mazandaran
G. R. Mohtashami Borzadaran Ferdowsi University of Mashhad
Mostafa Razmkhah Ferdowsi University of Mashhad

Keywords:

weighted distribution, exponential distribution, ordered data, population quantile, skew distributions

Abstract

Statistical inference based on weighted random variables is developed in the sense of Pitman’s measure of closeness. Some general formulas are presented to compute the Pitman closeness of two weighted random variables to the parameter of interest. A new general weighted model is also introduced and some properties are investigated. Also, the concept of Pitman’s measure of closeness is used for measuring the nearness of some weighted random variables with respect to each other. The results are illustrated using some real data sets. Eventually, some conclusions are stated.

Downloads

FP_REVSTAT2022_abr3

Published

2022-04-21

How to Cite

Ahmadi, M., Mohtashami Borzadaran , G. R., & Razmkhah, M. (2022). Pitman’s Measure of Closeness for Weighted Random Variables: Accepted: April 2022. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/509