Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T02:51:11.265Z Has data issue: false hasContentIssue false

Generalised mixtures of exponential distributions

Published online by Cambridge University Press:  14 July 2016

Dilip Roy*
Affiliation:
Burdwan University
S. P. Mukherjee*
Affiliation:
Calcutta University
*
Postal address: Department of Business Administration, Burdwan University, Golapbag, Burdwan 713 104, India.
∗∗ Postal address: Department of Statistics, University College of Science, 35 Ballygunge Circular Road, Calcutta 700 019, India.

Abstract

An attempt has been made to generalise the concept of exponential mixture to the multivariate case through the random environment model. Some important properties of this class of mixture distributions have been studied, along with characterising properties. A further generalisation for a type of dependent exponential distribution has also been made.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1988 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Elandt-Johnson, R. C. (1978) Some properties of bivariate Gumbel type A distribution with proportional hazard rates. J. Multivariate Anal. 8, 244254.Google Scholar
Harris, C. M. (1968) The Pareto distribution as a queue service discipline. Operat. Res. 16, 307313.Google Scholar
Hutchison, T. P. (1979) Four applications of a bivariate distribution. Biometrical J., 553563.Google Scholar
Lindley, D. V. and Singpurwalla, N. D. (1986) Multivariate distributions for the reliability of a system of components sharing a common environment. J. Appl. Prob. 23, 418431.Google Scholar
Nayak, T. K. (1987) Multivariate Lomax distribution: properties and usefulness in reliability theory. J. Appl. Prob. 24, 170177.Google Scholar
Thompson, J. R., Thompson, W.A. and Brindley, E. C. Jr., (1972) Dependence and aging aspects of multivariate survival. J. Amer. Stat. Assoc. 67, 822830.Google Scholar