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Comparative Study between Generalized Maximum Entropy and Bayes Methods to Estimate the Four Parameter Weibull Growth Model

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  • Saifaldin Hashim Kamar
  • Basim Shlaibah Msallam

Abstract

The Weibull growth model is an important model especially for describing the growth instability; therefore, in this paper, three methods, namely, generalized maximum entropy, Bayes, and maximum a posteriori, for estimating the four parameter Weibull growth model have been presented and compared. To achieve this aim, it is necessary to use a simulation technique to generate the samples and perform the required comparisons, using varying sample sizes (10, 12, 15, 20, 25, and 30) and models depending on the standard deviation (0.5). It has been shown from the computational results that the Bayes method gives the best estimates.

Suggested Citation

  • Saifaldin Hashim Kamar & Basim Shlaibah Msallam, 2020. "Comparative Study between Generalized Maximum Entropy and Bayes Methods to Estimate the Four Parameter Weibull Growth Model," Journal of Probability and Statistics, Hindawi, vol. 2020, pages 1-7, January.
    • Handle: RePEc:hin:jnljps:7967345
    DOI: 10.1155/2020/7967345
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