A general multivariate new better than used (MNBU) distribution and its properties

Hyunju Lee () and Ji Hwan Cha ()
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Hyunju Lee: Hankuk University of Foreign Studies
Ji Hwan Cha: Ewha Womans University

Metrika: International Journal for Theoretical and Applied Statistics, 2021, vol. 84, issue 1, No 2, 27-46

Abstract: Abstract In this paper, we develop a general multivariate new better than used (MNBU) distribution based on a multivariate common shock model. Assuming that the external shock process follows the generalized Pólya process and a shock can destroy each component with some given probability, the multivariate survival distribution is obtained. The dependence structure of the multivariate distribution is analyzed. The properties on the dependence order and the multivariate ageing are also studied. Finally, as a special case, we consider the distribution of the minimum random variable and briefly discuss its properties.

Keywords: Common shock model; Generalized Pólya process; Multivariate new better than used (MNBU) distribution; Stochastic dependence; Ageing property; 60E05; 60E15; 62H86 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00184-020-00773-3

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