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Evaluation of estimation methods for parameters of the probability functions in tree diameter distribution modeling | ||
| Environmental Resources Research | ||
| دوره 8، شماره 1، فروردین 2020، صفحه 25-40 اصل مقاله (951.2 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22069/ijerr.2020.5086 | ||
| نویسندگان | ||
| M. Teimouri* 1؛ K. Abdolahnezhad2؛ Sh. Ghalandarayeshi1 | ||
| 1Assistant Professor, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| 2Assistant Professor, Golestan University, Gorgan, Iran | ||
| چکیده | ||
| One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation (likelihood method). Usually, this works based on iterative algorithms such as Newton-Raphson. However, the efficiency of the likelihood method is not guaranteed since there is no assurance that the Newton-Raphson method for maximizing the log-likelihood function will converge. In such cases, one option is to use a better estimation approach. In this study, several methods were compared for estimating the parameters of two- and three-parameter Weibull distributions. We applied ten methods for two-parameter and twelve methods for three-parameter cases. The data set was collected from natural beech dominated forest in northern Iran. The results demonstrated that among the estimators investigated for two-parameter Weibull distribution, the percentile method outperformed other competitors. In contrast, for three-parameter Weibull distribution, the trimmed L-moment (TL-moment) method and the modified method of moments (type I and type II) outperformed other competitors in terms of Cramer Von-Mises criterion and Kolmogorov-Smirnov criterion, respectively. | ||
| کلیدواژهها | ||
| Least square method؛ Method of maximum product spacings؛ TL-moment؛ Weibull distribution؛ Weighted maximum likelihood estimator | ||
| مراجع | ||
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