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On Testing Exponentiality Against UBA Class of Life Distributions Based On Laplace Transform

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  • M. KH. Hassan

    (Ain Shams University)

Abstract

The problem of testing various classes of life distributions have been considered in the literature during the last decades. In this paper, we consider a new test statistic for testing exponentiality against used better than age (UBA) class of life distributions based on Laplace transform. This proposed test is presented for complete and right censored data. Furthermore, Pitman asymptotic efficiencies are calculated to assess the performance of our test. Selected critical values are tabulated. Some numerical simulations of power estimates are calculated. Proposed test is presented also in multivariate form. Finally, the test is applied to some real data.

Suggested Citation

  • M. KH. Hassan, 2017. "On Testing Exponentiality Against UBA Class of Life Distributions Based On Laplace Transform," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(1), pages 142-155, May.
    • Handle: RePEc:spr:sankhb:v:79:y:2017:i:1:d:10.1007_s13571-015-0112-4
    DOI: 10.1007/s13571-015-0112-4
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    References listed on IDEAS

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    1. Shaked, Moshe & Shanthikumar, J. George, 1991. "Dynamic multivariate aging notions in reliability theory," Stochastic Processes and their Applications, Elsevier, vol. 38(1), pages 85-97, June.
    2. Elja Arjas, 1981. "A Stochastic Process Approach to Multivariate Reliability Systems: Notions Based on Conditional Stochastic Order," Mathematics of Operations Research, INFORMS, vol. 6(2), pages 263-276, May.
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