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Santosh University Journal of Health Sciences


Probabilistic behaviour of induced order statistics from bivariate rayleigh distribution


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Author Details : Sunil Kumar, Jagmohan Singh Dhakar

Volume : 2, Issue : 2, Year : 2016

Article Page : 88-92


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Abstract

In the present paper a new bivariate distribution has been derived from univariate Rayleigh distribution using the concept given by Mongestern (1956). This bivariate Rayleigh distribution is then considered to obtain the Induced (concomitants) order statistics.
In the section 1 characterization of univariate Rayleigh distribution and bivariate Rayleigh distribution has been provided.  In section 2 and 3 the density function of order statistics and induced order statistics have been obtained. To characterize the model the moments of induced order statistics have been also obtained. The moment generating functions and cummulant generating function has been obtained. The joint distribution of two concomitants is also obtained in section 4.

Keywords:
Rayleigh Distribution, Induced Order Statistics

 

How to cite : Kumar S, Dhakar J S, Probabilistic behaviour of induced order statistics from bivariate rayleigh distribution. Santosh Univ J Health Sci 2016;2(2):88-92

Copyright © 2016 by author(s) and Santosh Univ J Health Sci. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (creativecommons.org)