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Modeling Discrete Bivariate Data with Applications to Failure and Count Data

Title
Modeling Discrete Bivariate Data with Applications to Failure and Count Data
Authors
Lee H.Cha J.H.Pulcini G.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2017
Journal Title
Quality and Reliability Engineering International
ISSN
0748-8017JCR Link
Citation
vol. 33, no. 7, pp. 1455 - 1473
Keywords
count datadiscrete survival datadiscrete-time failure rate functionnegative dependenceproportional hazard-type modeling
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this study, we propose a new class of flexible bivariate distributions for discrete random variables. The proposed class of distribution is based on the notion of conditional failure rate for a discrete-type random variable. We derive general formulae for the joint distributions belonging to the proposed class that, unlike other discrete bivariate models already proposed in the literature such as the well-known and most popular Holgate's bivariate Poisson distribution, can model both positive and negative dependence. We discuss general statistical properties of the proposed class as well. Specific families of bivariate distributions can be generated from the general class proposed in this paper just by specifying the ‘baseline distributions’. Furthermore, specific discrete bivariate distributions belonging to the proposed class are applied to analyze three real data sets, and the results are compared with those obtained from conventional models. Copyright © 2017 John Wiley & Sons, Ltd. Copyright © 2017 John Wiley & Sons, Ltd.
DOI
10.1002/qre.2118
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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