On the Bivariate Kummer-Beta Type IV Distribution

R. Jacobs, A. Bekker, S.W. Human

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

In this article, the non central bivariate Kummer-beta Type IV distribution is introduced and derived via the Laplace transform of the non central bivariate beta distribution by Gupta et al. (2011 ). We focus on and discuss the central bivariate Kummer-beta Type IV distribution; this distribution is a special case of the non central bivariate Kummer-beta Type IV distribution and extends the popular Jones’ bivariate beta distribution. The probability density functions of the product and the ratio of the components of the central bivariate Kummer-beta Type IV distribution are also derived and we provide tabulations of the associated lower percentage points as well as some upper percentage points that are useful in reliability.
Original languageEnglish
Pages (from-to)3339-3354
Number of pages15
JournalCommunications in Statistics. Part A, Theory and Methods
Volume41
Issue number18
DOIs
Publication statusPublished - 2012

Keywords

  • product
  • variables
  • quotient
  • moments

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