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A weighted integral approach to testing against HNBUE alternatives

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  • Ghosh, Shyamal
  • Mitra, Murari

Abstract

A family of test statistics for testing exponentiality against HNBUE alternatives is proposed. Asymptotic distributions of the test statistics are derived under the null and alternative hypotheses and consistency of the test is established. Comparison with competing tests, power studies and applications to real life data sets have been carried out.

Suggested Citation

  • Ghosh, Shyamal & Mitra, Murari, 2017. "A weighted integral approach to testing against HNBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 58-64.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:58-64
    DOI: 10.1016/j.spl.2017.05.003
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    References listed on IDEAS

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    1. F. Belzunce & J. Pinar & J. Ruiz, 2005. "On testing the dilation order and HNBUE alternatives," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(4), pages 803-815, December.
    2. Klar, Bernhard, 2000. "A class of tests for exponentiality against HNBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 47(2), pages 199-207, April.
    3. Kochar, Subhash C. & Deshpande, Jayant V., 1985. "On exponential scores statistics for testing against positive aging," Statistics & Probability Letters, Elsevier, vol. 3(2), pages 71-73, April.
    4. Anis, M.Z. & Mitra, M., 2011. "A generalized Hollander-Proschan type test for NBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 126-132, January.
    5. Anis, M.Z. & Basu, Kinjal, 2011. "The exact null distribution of the generalized Hollander-Proschan type test for NBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1733-1737, November.
    6. Ludwig Baringhaus & Norbert Henze, 1991. "A class of consistent tests for exponentiality based on the empirical Laplace transform," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(3), pages 551-564, September.
    7. J. Koziol, 1987. "An alternative formulation of Neyman’s smooth goodness of fit tests under composite alternatives," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 34(1), pages 17-24, December.
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