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On the non-existence of maximum likelihood estimates for the extended exponential power distribution and its generalizations

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  • Tumlinson, Samuel E.

Abstract

In this work, we show that the maximum likelihood estimates fail to exist for the extended exponential power distribution and its univariate generalizations.

Suggested Citation

  • Tumlinson, Samuel E., 2015. "On the non-existence of maximum likelihood estimates for the extended exponential power distribution and its generalizations," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 111-114.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:111-114
    DOI: 10.1016/j.spl.2015.08.009
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    References listed on IDEAS

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    1. Giulio Bottazzi & Angelo Secchi, 2011. "A new class of asymmetric exponential power densities with applications to economics and finance," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 20(4), pages 991-1030, August.
    2. Choy, S. T. Boris & Walker, Stephen G., 2003. "The extended exponential power distribution and Bayesian robustness," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 227-232, November.
    3. Zhu, Dongming & Zinde-Walsh, Victoria, 2009. "Properties and estimation of asymmetric exponential power distribution," Journal of Econometrics, Elsevier, vol. 148(1), pages 86-99, January.
    4. Saralees Nadarajah, 2005. "A generalized normal distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 685-694.
    5. Zeckhauser, Richard & Thompson, Mark, 1970. "Linear Regression with Non-Normal Error Terms," The Review of Economics and Statistics, MIT Press, vol. 52(3), pages 280-286, August.
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