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Preservation of classes of life distributions under weighting with a general weight function

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  • Blazej, Pawel

Abstract

In the paper a representation of weighted distributions is used to obtain some results concerning their relations with life distributions. Extensions of the results by Gupta [Gupta, R.C., Keating, J.P., 1986. Relations for the reliability measures under length biased sampling. Scand. J. Statist. 13, 49-56], Jain et al. [Jain, K., Singh, H., Bagai, I., 1989. Relations for the reliability measures of weighted distributions. Comm. Statist. Theory Methods 18, 4393-4412] and Bartoszewicz and Skolimowska [Bartoszewicz, J., Skolimowska, M., 2006. Preservation of classes of life distributions and stochastic orders under weighting. Statist. Probab. Lett. 76, 587-596] are given.

Suggested Citation

  • Blazej, Pawel, 2008. "Preservation of classes of life distributions under weighting with a general weight function," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 3056-3061, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:17:p:3056-3061
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    1. Bartoszewicz, Jaroslaw & Skolimowska, Magdalena, 2006. "Preservation of classes of life distributions and stochastic orders under weighting," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 587-596, March.
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    Cited by:

    1. Navarro, J. & Sunoj, S.M. & Linu, M.N., 2011. "Characterizations of bivariate models using dynamic Kullback-Leibler discrimination measures," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1594-1598, November.
    2. Bartoszewicz, Jaroslaw, 2009. "On a representation of weighted distributions," Statistics & Probability Letters, Elsevier, vol. 79(15), pages 1690-1694, August.
    3. Sánchez-Sánchez, M. & Sordo, M.A. & Suárez-Llorens, A. & Gómez-Déniz, E., 2019. "Deriving Robust Bayesian Premiums Under Bands Of Prior Distributions With Applications," ASTIN Bulletin, Cambridge University Press, vol. 49(1), pages 147-168, January.
    4. J. Jarrahiferiz & M. Kayid & S. Izadkhah, 2019. "Stochastic properties of a weighted frailty model," Statistical Papers, Springer, vol. 60(1), pages 53-72, February.

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