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Multivariate conditional hazard rate functions – an overview

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  • Moshe Shaked
  • J. George Shanthikumar

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.

Suggested Citation

  • Moshe Shaked & J. George Shanthikumar, 2015. "Multivariate conditional hazard rate functions – an overview," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(3), pages 285-296, May.
    • Handle: RePEc:wly:apsmbi:v:31:y:2015:i:3:p:285-296
    DOI: 10.1002/asmb.2020
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    Cited by:

    1. Francesco Buono & Emilio Santis & Maria Longobardi & Fabio Spizzichino, 2022. "Multivariate Reversed Hazard Rates and Inactivity Times of Systems," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1987-2008, September.
    2. Emilio De Santis & Yaakov Malinovsky & Fabio Spizzichino, 2021. "Stochastic Precedence and Minima Among Dependent Variables," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 187-205, March.
    3. Qi Feng & J. George Shanthikumar & Mengying Xue, 2022. "Consumer Choice Models and Estimation: A Review and Extension," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 847-867, February.
    4. Foschi Rachele & Nappo Giovanna & Spizzichino Fabio L., 2021. "Diagonal sections of copulas, multivariate conditional hazard rates and distributions of order statistics for minimally stable lifetimes," Dependence Modeling, De Gruyter, vol. 9(1), pages 394-423, January.
    5. Emilio De Santis & Fabio Spizzichino, 2023. "Construction of voting situations concordant with ranking patterns," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 129-156, June.
    6. Bezgina, E. & Burkschat, M., 2019. "On total positivity of exchangeable random variables obtained by symmetrization, with applications to failure-dependent lifetimes," Journal of Multivariate Analysis, Elsevier, vol. 169(C), pages 95-109.

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