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Some Classes of Multivariate Life Distributions in Discrete Time

Author

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  • Unnikrishnan Nair, N.
  • Asha, G.

Abstract

New classes of multivariate survival distribution functions based on monotonic behaviour of a multivariate failure rate are developed in the discrete set up. Relationship among the classes along with multivariate geometric distributions that act as boundaries of the various classes are identified.

Suggested Citation

  • Unnikrishnan Nair, N. & Asha, G., 1997. "Some Classes of Multivariate Life Distributions in Discrete Time," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 181-189, August.
    • Handle: RePEc:eee:jmvana:v:62:y:1997:i:2:p:181-189
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    References listed on IDEAS

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    1. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
    2. Jie Mi, 1993. "Discrete bathtub failure rate and upside‐down bathtub mean residual life," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(3), pages 361-371, April.
    3. K. Muraleedharan Nair & N. Unnikrishnan Nair, 1988. "On characterizing the bivariate exponential and geometric distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 40(2), pages 267-271, June.
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    Cited by:

    1. Mai, Jan-Frederik & Scherer, Matthias & Shenkman, Natalia, 2013. "Multivariate geometric distributions, (logarithmically) monotone sequences, and infinitely divisible laws," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 457-480.
    2. Paduthol Godan Sankaran & Narayanan Unnikrishnan Nair, 2004. "Partial moments for bivariate distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 339-351.

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