Bivariate Pseudo-Gompertz distribution and concomitants of its order statistics

Authors:
Serap YöRüBulut;Omer L. Gebizlioglu
Affiliations:
Kırıkkale University, Faculty of Science and Letters, Department of Statistics, 71450 Kırıkkale, Turkey;Kadir Has University, Faculty of Economics, Administrative and Social Sciences, Cibali, 34083 Istanbul, Turkey
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 1
Cited 1

Wishart and pseudo-Wishart distributions and some applications to shape theory

Journal of Multivariate Analysis

On the sums of distributions of order statistics from exchangeable random variables

Journal of Computational and Applied Mathematics

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Abstract

This paper presents a new bivariate Pseudo-Gompertz distribution that sprouts from the classical Gompertz distribution and possesses the features of pseudo-distribution functions. In addition to some standard properties of the proposed distribution, distributions of order statistics and their concomitants for samples drawn from the new distribution are obtained. The survival and hazard functions of the concomitants are shown and their values are tabled. Interpretations of the results are given in connection with risk events and risk management.