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On The Performance of A New Test of Exponentiality Against IFR Alternatives Based on the L-statistic Approach

Author

Listed:
  • Anis M. Z.

    (SQC & OR Unit Indian Statistical Institute, 203, B. T. Road, Calcutta 700108, India. mzanis@yahoo.com)

  • Hoque Z.

    (SQC & OR Unit Indian Statistical Institute, 203, B. T. Road, Calcutta 700108, India)

Abstract

In this note we consider the performance of a new test of exponentiality against IFR alternatives. This test turns out to be an L-statistic. A table of critical values for some commonly used significance levels and different sample sizes is given. These critical values are based on the exact distribution of the test statistic for n ≤ 45 while for larger values of the sample size the critical values are based on simulation. The asymptotic relative efficiency of this new test is discussed. The test is applied to some real life data sets. A simulation experiment evaluates the empirical size and the empirical power against different alternatives. The proposed test competes favorably with other tests available in the literature.

Suggested Citation

  • Anis M. Z. & Hoque Z., 2008. "On The Performance of A New Test of Exponentiality Against IFR Alternatives Based on the L-statistic Approach," Stochastics and Quality Control, De Gruyter, vol. 23(2), pages 181-195, January.
    • Handle: RePEc:bpj:ecqcon:v:23:y:2008:i:2:p:181-195:n:3
    DOI: 10.1515/EQC.2008.181
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    Cited by:

    1. Anis M. Z., 2011. "Testing Exponentiality Against NBUL Alternatives Using Positive and Negative Fractional Moments," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 215-234, January.

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