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A ratio goodness-of-fit test for the Laplace distribution

Author

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  • González-Estrada, Elizabeth
  • Villaseñor, José A.

Abstract

A test based on the ratio of the sample mean absolute deviation and the sample standard deviation is proposed for testing the Laplace distribution hypothesis. The asymptotic null distribution for this test statistic is found to be normal. The use of Anderson–Darling test based on a data transformation is also discussed.

Suggested Citation

  • González-Estrada, Elizabeth & Villaseñor, José A., 2016. "A ratio goodness-of-fit test for the Laplace distribution," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 30-35.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:30-35
    DOI: 10.1016/j.spl.2016.07.003
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    References listed on IDEAS

    as
    1. Roberts, Leigh A., 2015. "Distribution free testing of goodness of fit in a one dimensional parameter space," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 215-222.
    2. Lafaye de Micheaux, Pierre & Tran, Viet Anh, 2016. "PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Goodness-of-fit Tests in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 69(i03).
    3. Gel, Yulia R., 2010. "Test of fit for a Laplace distribution against heavier tailed alternatives," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 958-965, April.
    4. Gel, Yulia R. & Miao, Weiwen & Gastwirth, Joseph L., 2007. "Robust directed tests of normality against heavy-tailed alternatives," Computational Statistics & Data Analysis, Elsevier, vol. 51(5), pages 2734-2746, February.
    5. Best, D.J. & Rayner, J.C.W. & Thas, O., 2008. "Comparison of some tests of fit for the Laplace distribution," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5338-5343, August.
    Full references (including those not matched with items on IDEAS)

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