Computation of maximum-likelihood parameters of the generalized logistic distribution by three-step newton–raphson algorithm

Tefaruk HAKTANIR

The skewness coefficient (G) of the generalized logistic (GLO) distribution is a function of its shape parameter (a) only. Both the methods of probability-weighted moments and maximum-likelihood (ML) mostly yield magnitudes for the shape parameter much different from that by the method of moments, the gap narrowing with increasing length of the sample series. The computation of ML parameters by the conventional Newton–Raphson method is problematic with no solution for a nonnegligible number of sample series. Here, the three-step Newton–Raphson algorithm, which was previously proposed for the g ...Daha fazlası

Makale/Derleme 2022 Journal of Statistical Theory and Practice16 ( 3 ) , pp. 1 - 14 5 Görüntülenme

A new method based on artificial bee colony programming for the regional standardized intensity–duration‒frequency relationship

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The aim of this study was to develop new analytical models to defne the regional rainfall intensity−duration−frequency (IDF) relationship for the Inland Anatolia Region, which is determined discretely by the L-Moments method at many values of rainfall durations and frequencies. First, the parameters of each one of nine commonly used empirical equations were calibrated to provide the best possible defnition of the IDF relationship for the Inland Anatolia Region. Next, analytical models best ftted to the IDF relationship of the L-Moments method were generated by the artifcial bee colony programm ...Daha fazlası