The Atkinson Index, the Moran Statistic, and Testing Exponentiality

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  • Mimoto Nao
    Department of Statistics and Probability, Michigan State University
  • Zitikis Ričardas
    Department of Statistical and Actuarial Sciences, University of Western Ontario

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Constructing tests for exponentiality has been an active and fruitful research area, with numerous applications in engineering, biology and other sciences concerned with life-time data. In the present paper, we construct and investigate powerful tests for exponentiality based on two well known quantities: the Atkinson index and the Moran statistic. We provide an extensive study of the performance of the tests and compare them with those already available in the literature.

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