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

M. Kh. Hassan ()
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M. Kh. Hassan: Ain Shams University

Sankhya B: The Indian Journal of Statistics, 2017, vol. 79, issue 1, No 7, 142-155

Abstract: 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.

Keywords: UBA class of life distributions; Laplace transform; Survival function; Right censored data; U-Statistic; MUBA Class of Life Distributions; Primary 62GXX; Secondary G05 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13571-015-0112-4

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Handle: RePEc:spr:sankhb:v:79:y:2017:i:1:d:10.1007_s13571-015-0112-4