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The beta Laplace distribution

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  • Cordeiro, Gauss M.
  • Lemonte, Artur J.

Abstract

The Laplace distribution is one of the earliest distributions in probability theory. For the first time, based on this distribution, we propose the so-called beta Laplace distribution, which extends the Laplace distribution. Various structural properties of the new distribution are derived, including expansions for its moments, moment generating function, moments of the order statistics, and so forth. We discuss maximum likelihood estimation of the model parameters and derive the observed information matrix. The usefulness of the new model is illustrated by means of a real data set.

Suggested Citation

  • Cordeiro, Gauss M. & Lemonte, Artur J., 2011. "The beta Laplace distribution," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 973-982, August.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:8:p:973-982
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    References listed on IDEAS

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    1. M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
    2. Pescim, Rodrigo R. & Demétrio, Clarice G.B. & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Urbano, Mariana R., 2010. "The beta generalized half-normal distribution," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 945-957, April.
    3. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
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    Cited by:

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    2. Aryal Gokarna & Zhang Qiuming, 2016. "Characterizations of Kumaraswamy Laplace Distribution with Applications," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 59-70, December.

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