09 فروردین 1403
مراد عليزاده

مراد علیزاده

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه آمار
تحصیلات: دکترای تخصصی / امار ریاضی
تلفن: 0
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان On Marshal-olkin Burr-X family of distribution
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله TBILISI MATHEMATICAL JOURNAL
شناسه DOI
پژوهشگران فرخ جمال (نفر اول) ، محمد طاهیر (نفر دوم) ، مراد علیزاده (نفر سوم) ، ارسلان نصیر (نفر چهارم)

چکیده

Generalizing distributions is important for applied statisticians and recent literature has sug- gested several ways of extending well-known distributions. We propose a new class of distri- butions called the Marshall-Olkin Burr X family, which yields flexible shapes for its density such as symmetrical, left-skewed, right-skewed and reversed-J shaped, and can have increas- ing, decreasing,constant, bathtub and upside-down bathtub hazard rates shaped. Some of its structural properties including quantile and generating functions, ordinary and incomplete moments, and mean deviations are obtained. One special model of this family, the Marshall- Olkin-Burr-Lomax distribution, is investigated in details. We also derive the density of the order statistics. The model parameters are estimated by the maximum likelihood method. For illustrative purposes, three applications to real life data are presented.