10 فروردین 1403
حسين حق بين

حسین حق بین

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه آمار
تحصیلات: دکترای تخصصی / آمار
تلفن: 077322
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان A New Generalized Odd Log-Logistic Family of Distributions
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
شناسه DOI
پژوهشگران حسین حق بین (نفر اول) ، Gamze Ozel (نفر دوم) ، مراد علیزاده (نفر سوم) ، غلامحسین همدانی (نفر چهارم)

چکیده

We introduce and study general mathematical properties of a new generator of continuous distributions with three extra parameters called the new generalized odd log-logistic family of distributions. The proposed family contains several important classes discussed in the literature as sub-models such as the proportional reversed hazard rate and odd log-logistic classes. Its density function can be expressed as a mixture of exponentiated densities based on the same baseline distribution. Some of its mathematical properties including ordinary moments, quantile and generating functions, entropy measures and order statistics, which hold for any baseline model, are presented. We also present certain characterization of the proposed distribution and derive a power series for the quantile function. We discuss the method of maximum likelihood to estimate the model parameters. We study the behavior of the maximum likelihood estimator via simulation. The importance of the new family is illustrated by means of two real data sets. These applications indicate that the new family can provide better fits than other well-known classes of distributions. The beauty and importance of the new family lies in its ability to model real data.