Comparative Study between Generalized Maximum Entropy and Bayes Methods to Estimate the Four Parameter Weibull Growth Model. (14th January 2020)

• Record Type: Journal Article
• Authors: Kamar, Saifaldin Hashim; Msallam, Basim Shlaibah
• Other Names: Sun Dongchu Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2020(2020)
• Publication Date: 2020-01-14
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2020/7967345
• Languages: English
• ISSNs: 1687-952X

Abstract

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.