Abstract
In this paper, we consider some bivariate distributions that are used in reliability theory and study their entropies and mutual information.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahmad, N. A. and Gokhale, D. V. (1989). Entropy Expressions and Their Estimators for Multivariate Distributions. IEEE Transactions on Information Theory, Vol. 35, No. 3. 688–692.
Arizono, I. and Ohta, H. (1989). A Test For Normality Based On Kullback-Leibler Information. The American Statistician. 34. 20–23.
Arnold, B. C. (1985). Pareto Distributions. Burtonsville, MD: International Co-Operative Publishing House.
Block, H. B. and Basu, A. P. (1974). A Continuous Bivaritae Exponential Extension. Journal of American Statistical Association, 69, 1031–1037.
Ebrahimi, N., Habibullah, M. and Soofi, E. (1992). Testing Exponentiality Based on KullbackLeibler Information. Journal of Royal Statistical Society, Series B.54, No. 3, pp. 739748.
Gokhale, D. V. (1975). Maximum Entropy Characterizations of Some Distributions. Statistical Distributions in Scientific Work, Vol. 3, Edited by G. P. Patil. Ridel Publishing Company, Dordrecht-Holland. 299–304.
Gumbel,E.J. (1961). Bivariate Logistic Distributions. J. Amer. Statist. Assoc. 56, 335–349.
Lazo, C. G. and Rathie, P. N. (1978). On the Entropy of Continuous Probability Distributions. IEEE Transaction on Information Theory. Vol. IT-24, No. 1. 120–12Z.
Satterthwaite, S. P. and Hutchinson, T. P. (1978). A Generalization of Gumbel’s Bivariate Logistic Distribution. Metrika, Vol. 25, 163–170.
Vasicek, O. (1976). A Test For Normality Based On Sample Entropy. Journal of the Royal Statistical Society, Series B, 38, 54–59.
Weinman, D. G. (1966). A Multivariate Extension of the Exponential Distribution. Ph.D. Dissertation, Arizona State University, Tempe, Arizona.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Ahsanullah, M., Habibullah, M. (1996). On the Entropies and the Mutual Information of Some Bivariate Continuous Distributions Used in Reliability. In: Jewell, N.P., Kimber, A.C., Lee, ML.T., Whitmore, G.A. (eds) Lifetime Data: Models in Reliability and Survival Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5654-8_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-5654-8_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4753-6
Online ISBN: 978-1-4757-5654-8
eBook Packages: Springer Book Archive