A Bivariate Distribution with a Two-parameters Exponential Conditional

Grine Azedine^1,

¹Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O.Box 90950, Riyadh 11623, KSA

Cite this paper:
Grine Azedine. A Bivariate Distribution with a Two-parameters Exponential Conditional. American Journal of Applied Mathematics and Statistics. 2018; 6(5):201-209. doi: 10.12691/ajams-6-5-4

Abstract

In this paper, a bivariate distribution with a two-parameter exponential conditional is obtained. A multivariate form of the result is also attained under the joint independence of components assumption. A maximum Likelihood method of estimation is provided as well as the intervals of confidence for the parameters of this bivariate distribution. The pdf of the order statistics and concommitants are also derived.

Keywords:
a two-parameter exponential distribution bivariate probability distribution conditional distribution concommitants records

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