Pitman’s Measure of Closeness for Weighted Random Variables

Accepted: April 2022


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


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


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.



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



Forthcoming Paper