Multivariate Exponential Distributions with Constant Failure Rates
AbstractIn this paper a multivariate failure rate representation based on Cox's conditional failure rate is introduced, characterizations of the Freund-Block and the Marshall-Olkin multivariate exponential distributions are obtained, and generalizations of the Block-Basu and the Friday-Patil bivariate exponential distributions are proposed.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Multivariate Analysis.
Volume (Year): 61 (1997)
Issue (Month): 2 (May)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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- Marshall, Albert W., 1975. "Some comments on the hazard gradient," Stochastic Processes and their Applications, Elsevier, vol. 3(3), pages 293-300, July.
- Hanagal, David D., 1993. "Some inference results in an absolutely continuous multivariate exponential model of Block," Statistics & Probability Letters, Elsevier, vol. 16(3), pages 177-180, February.
- Johnson, N. L. & Kotz, Samuel, 1975. "A vector multivariate hazard rate," Journal of Multivariate Analysis, Elsevier, vol. 5(1), pages 53-66, March.
- Wang, Rong-Tsorng, 2007. "A reliability model for multivariate exponential distributions," Journal of Multivariate Analysis, Elsevier, vol. 98(5), pages 1033-1042, May.
- Kim, Bara & Kim, Jeongsim, 2011. "Representation of Downton’s bivariate exponential random vector and its applications," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1743-1750.
- Anna Gottard, 2007. "On the inclusion of bivariate marked point processes in graphical models," Metrika, Springer, vol. 66(3), pages 269-287, November.
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