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On a representation of weighted distributions

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  • Bartoszewicz, Jaroslaw

Abstract

The representation of weighted distributions given by Blazej [Blazej, P., 2008. Preservation of classes of life distributions under weighting with a general weight function. Statist. Probab. Lett. 78, 3056-3061] is developed. New relations between weighted distributions and classes of life distributions and stochastic orders are established.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 2009. "On a representation of weighted distributions," Statistics & Probability Letters, Elsevier, vol. 79(15), pages 1690-1694, August.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:15:p:1690-1694
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    References listed on IDEAS

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    1. 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.
    2. J. Navarro & Y. Aguila & J. Ruiz, 2001. "Characterizations through reliability measures from weighted distributions," Statistical Papers, Springer, vol. 42(3), pages 395-402, July.
    3. 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.
    4. Felix Belzunce & Jorge Navarro & José M. Ruiz & Yolanda del Aguila, 2004. "Some results on residual entropy function," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(2), pages 147-161, May.
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    Cited by:

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    4. Sunoj, S.M. & Sankaran, P.G., 2012. "Quantile based entropy function," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1049-1053.

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