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Some properties of classes of life distributions with unknown age


  • Ahmad, Ibrahim A.


Some properties of the used better than aged (UBA) and the used better than aged in expectation (UBAE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behavior. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.

Suggested Citation

  • Ahmad, Ibrahim A., 2004. "Some properties of classes of life distributions with unknown age," Statistics & Probability Letters, Elsevier, vol. 69(3), pages 333-342, September.
  • Handle: RePEc:eee:stapro:v:69:y:2004:i:3:p:333-342

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    References listed on IDEAS

    1. N. Henze, 1990. "An approximation to the limit distribution of the epps-pulley test statistic for normality," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 37(1), pages 7-18, December.
    2. L. Baringhaus & N. Henze, 1988. "A consistent test for multivariate normality based on the empirical characteristic function," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 35(1), pages 339-348, December.
    3. Hall, Peter & Wand, M. P., 1996. "On the Accuracy of Binned Kernel Density Estimators," Journal of Multivariate Analysis, Elsevier, vol. 56(2), pages 165-184, February.
    4. Nora G├╝rtler & Norbert Henze, 2000. "Goodness-of-Fit Tests for the Cauchy Distribution Based on the Empirical Characteristic Function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(2), pages 267-286, June.
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