DISCRETIZATION OF BURR-TYPE III DISTRIBUTION

  • B.A .Para Department of statistics, University of Kashmir, Srinagar, J&K (India)
  • T.R. Jan Department of statistics, University of Kashmir, Srinagar, J&K (India)
Keywords: Burr-type III distribution, discrete lifetime models, reliability, failure rate

Abstract

In this paper we propose a discrete analogue of Burr-type III distribution using a general approach of Discretizing a continuous distribution. It may be worth exploring the possibility of developing a discrete version of two parameter Burr-type III distribution, so that same can be used for modeling a discrete data. Discrete Burr-type III distribution is suggested as a suitable reliability model to fit a range of discrete life time data, as it is shown that hazard rate function can attain monotonic increasing (decreasing) shape for certain values of parameters. The equivalence of discrete Burr-type III (DBD-III) and continuous Burr-type III (BD-III) distributions has been established. Various theorems relating Burr Type III distribution with other statistical distributions have also been proved.

 

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Published
2014-11-29
Section
Articles