POSTERIOR ESTIMATES OF TWO PARAMETER EXPONENTIAL DISTRIBUTION USING S-PLUS SOFTWARE

Authors

  • S.P. Ahmad Department of Statistics, University of Kashmir, Srinagar (India)
  • Bilal Ahmad Bhat Division of Sericulture, SKUAST-K, Shalimar, Srinagar (India)

Keywords:

Exponential distribution, Marginal posterior densities, Posterior estimates and S-PLUS Software.

Abstract

This paper deals with the Bayesian estimation of parameters of exponential distribution under different priors. The numerical and graphical illustration of posterior densities of the parameters of interest has been done in S-PLUS Software.

Downloads

Download data is not yet available.

References

Bartholomew, D.J. (1957). A problem in life testing, Journal of American

Statistical Association, 52, p. 350-355.

Epstein, B. (1954). Truncated life testing in exponential case, Annals of the

Mathematical Statistics, 25, p. 555-564.

Epstein, B. and Sobel, M. (1953). Life testing, Journal of the American

Statistical Association, 48, p. 486-502.

Epstein, B. and Sobel, M. (1954). Some theorems relevant to life testing from

an exponential distribution, Annals of the Mathematical Statistics, 25, p. 373-

Epstein, B. and Sobel, M. (1955). Sequential life testing in exponential case,

Annals of the Mathematical Statistics, 26, p. 82-93.

Grubbs, F.E. (1971). Approximate fiducial bounds on reliability for the two

parameter negative exponential distribution, Technometrics, Vol. 13, No. 4, p.

-876.

Jeffrey, H. (1961). Theory of Probability, Oxford University Press.

Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate

Distributions, Vol. 1, John Wiley & Sons, New York.

Johnson, N.L., Kotz, S. and Balakrishnan, N. (1995). Continuous Univariate

Distributions, Vol. 2, John Wiley & Sons, New York.

Johnson, R.A. (1970). Asymptotic expansions associated with posterior

distributions, Annals of Mathematical Statistics, 41, p. 196-215.

Lawless, J.F. (2003). Statistical Models and Methods for Lifetime Data.

Wiley, New York.

Mendenhall, W. (1958). A bibliography on life testing and related topics.

Biometrika 45, 521-543.

Sinha, S.K. (1986). Reliability and Life Testing. Wiley Eastern Limited

Downloads

Published

2010-12-01

How to Cite

Ahmad, S. ., & Bhat, B. A. . (2010). POSTERIOR ESTIMATES OF TWO PARAMETER EXPONENTIAL DISTRIBUTION USING S-PLUS SOFTWARE. Journal of Reliability and Statistical Studies, 3(02), 27–34. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/22017

Issue

Section

Articles