Some distributional properties of the concomitants of record statistics for bivariate Pseudo–exponential distribution and characterization

Muhammad Mohsin
Department of Statistics, University of Klagenfurt, Klagenfurt, Austria.
Juergen Pilz
Department of Statistics, University of Klagenfurt, Klagenfurt, Austria.
Spoeck Gunter
Department of Statistics, University of Klagenfurt, Klagenfurt, Austria.
Saman Shahbaz
Department of Mathematics, COMSATS Institute of IT, Lahore, Pakistan.
Muhammad Qaiser Shahbaz
Department of Mathematics, COMSATS Institute of IT, Lahore, Pakistan.

\(^{1}\)Corresponding Author: mmohsin@edu.uni-klu.ac.at

Copyright © 2010 Muhammad Mohsin, Juergen Pilz, Spoeck Gunter, Saman Shahbaz, Muhammad Qaiser Shahbaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2010.

Abstract

A new class of distributions known as Bivariate Pseudo–Exponential distribution has been defined. The distribution of r–th concomitant and joint distribution of r–th and s–th concomitant of record statistics of the resulting distribution have been derived. Expression for single and product moments has also been obtained for the resulting distributions. A characterization of the k-th concomitant of record statistics for the Pseudoexponential distribution by the conditional expectation is presented.

Keywords:

Concomitants, record values, Pseudo–exponential distribution.