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Testing exponentiality using mean residual quantile function

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  • P. Sankaran
  • N. Midhu

Abstract

In the present paper, a non-parametric test is developed to test exponentiality using mean residual quantile function. Asymptotic distribution of the test statistic is derived. Simulation studies are carried out to assess the efficiency of the test. We also compare the power of the proposed test with the existing tests. We apply the proposed test to two real life data sets. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • P. Sankaran & N. Midhu, 2016. "Testing exponentiality using mean residual quantile function," Statistical Papers, Springer, vol. 57(1), pages 235-247, March.
    • Handle: RePEc:spr:stpapr:v:57:y:2016:i:1:p:235-247
    DOI: 10.1007/s00362-014-0651-1
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    References listed on IDEAS

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    1. Nair, N. Unnikrishnan & Sankaran, P.G., 2008. "Characterizations of multivariate life distributions," Journal of Multivariate Analysis, Elsevier, vol. 99(9), pages 2096-2107, October.
    2. Sreenivasa Rao Jammalamadaka & Emanuele Taufer, 2001. "Testing Exponentiality by comparing the Empirical," Quaderni DISA 053, Department of Computer and Management Sciences, University of Trento, Italy, revised 12 Sep 2003.
    3. N.N. Midhu & P.G. Sankaran & N. Unnikrishnan Nair, 2014. "A Class of Distributions with Linear Hazard Quantile Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(17), pages 3674-3689, September.
    4. J.-H. Jeong & J. P. Fine, 2009. "A note on cause-specific residual life," Biometrika, Biometrika Trust, vol. 96(1), pages 237-242.
    5. L. Peng & J. P. Fine, 2007. "Nonparametric quantile inference with competing–risks data," Biometrika, Biometrika Trust, vol. 94(3), pages 735-744.
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    Cited by:

    1. 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.
    2. Ruhul Ali Khan & Dhrubasish Bhattacharyya & Murari Mitra, 2021. "Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternatives," Statistical Papers, Springer, vol. 62(6), pages 3015-3045, December.
    3. Pooja Soni & Isha Dewan & Kanchan Jain, 2019. "Nonparametric tests for ordered quantiles," Statistical Papers, Springer, vol. 60(3), pages 963-981, June.
    4. Priyanka Majumder & Murari Mitra, 2021. "Detecting trend change in hazard functions—an L-statistic approach," Statistical Papers, Springer, vol. 62(1), pages 31-52, February.

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