Concomitants of Order Statistics and Record Values from Generalization of FGM Bivariate-Generalized Exponential Distribution

DOI

10.2991/jsta.d.190822.001How to use a DOI?

Keywords

Concomitants; Order statistics; Record values; Generalized exponential distribution; Generalization of FGM family

Abstract

We introduce the generalized Farlie–Gumbel–Morgenstern (FGM) type bivariate-generalized exponential distribution. Some distributional properties of concomitants of order statistics as well as record values for this family are studied. Recurrence relations between the moments of concomitants are obtained, some of these recurrence relations were not publishes before for Morgenstern type bivariate distributions. Moreover, most of the paper results are extended to arbitrary distributions.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - H. M. Barakat
AU  - E. M. Nigm
AU  - M. A. Alawady
AU  - I. A. Husseiny
PY  - 2019
DA  - 2019/09/19
TI  - Concomitants of Order Statistics and Record Values from Generalization of FGM Bivariate-Generalized Exponential Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 309
EP  - 322
VL  - 18
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190822.001
DO  - 10.2991/jsta.d.190822.001
ID  - Barakat2019
ER  -