Multivariate conditional hazard rate functions – an overview

Publisher: John Wiley & Sons Inc

E-ISSN: 1526-4025|31|3|285-296

ISSN: 1524-1904

Source: APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Vol.31, Iss.3, 2015-05, pp. : 285-296

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Abstract

In this paper, we describe the usefulness and the applications of the multivariate conditional hazard rate functions. First, we define these, as well as the accumulated hazard functions, and then give some properties of them. Using these definitions and properties, we describe the total hazard construction and its main traits. Using the technical tools described previously, we define and discuss various stochastic orders, various positive dependence concepts, and various aging notions that entail nonnegative multivariate random vectors. Copyright © 2014 John Wiley & Sons, Ltd.