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H.A David, H. Nagaraja. Order Statistics, 3dr ed., John Wiley & Sons, New York, 2003.

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Article

A Bivariate Distribution with a Two-parameters Exponential Conditional

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


American Journal of Applied Mathematics and Statistics. 2018, Vol. 6 No. 5, 201-209
DOI: 10.12691/ajams-6-5-4
Copyright © 2018 Science and Education Publishing

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.

Correspondence to: Grine  Azedine, Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O.Box 90950, Riyadh 11623, KSA. Email: aagrine@imamu.edu.sa

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.

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