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A test for detecting Laplace order dominance and related Bahadur efficiency issues

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  • Priyanka Majumder

    (Indian Institute of Engineering Science and Technology, Shibpur)

  • Murari Mitra

    (Indian Institute of Engineering Science and Technology, Shibpur)

Abstract

A test procedure based on a weighted integral approach is developed to detect Laplace order dominance. The asymptotic distributions of our scale-invariant test statistics are derived and consistency of the test established. General expressions of local approximate Bahadur efficiencies for the test statistics are obtained and evaluated for typical alternatives. The performance of the test is assessed by means of a simulation study and through application to some real life data sets.

Suggested Citation

  • Priyanka Majumder & Murari Mitra, 2019. "A test for detecting Laplace order dominance and related Bahadur efficiency issues," Statistical Papers, Springer, vol. 60(6), pages 1921-1937, December.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:6:d:10.1007_s00362-017-0901-0
    DOI: 10.1007/s00362-017-0901-0
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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. 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.
    3. P. Sankaran & N. Midhu, 2016. "Testing exponentiality using mean residual quantile function," Statistical Papers, Springer, vol. 57(1), pages 235-247, March.
    4. Norbert Henze & Simos G. Meintanis, 2005. "Recent and classical tests for exponentiality: a partial review with comparisons," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(1), pages 29-45, February.
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    Cited by:

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