On A Bivariate Pareto Model
نویسندگان
چکیده
Lindley-Singpurwalla (1986)’s bivariate Pareto distribution is one of the most popular bivariate Pareto distribution. Sankaran and Nair (1993) proposed a new bivariate Pareto distribution which also has Pareto marginals and it contains LindleySingpurwalla’s bivariate Pareto model as a special case. It has several other interesting properties also. In this paper we re-visit Sankaran and Nair’s bivariate Pareto model. We discuss several other new properties. The maximum likelihood estimators and two stage estimators are also investigated. We analyze two data sets for illustrative purposes. It is observed that this model can be used quite effectively to analyze competing risks data. Finally we propose some generalizations. Kew Words and Phrases: Pareto distribution; bivariate hazard rate; copula; maximum likelihood estimators; competing risks. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India, Corresponding author, e-mail:[email protected]
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