10 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 The Zografos-Balakrishnan Odd Log-Logistic Generalized Half-Normal Distribution with Mathematical Properties and Simulations
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
ثبت نشده‌است!
مجله Statistics, Optimization and Information Computing
شناسه DOI
پژوهشگران مهدیه مظفری (نفر اول) ، محمود افشاری (نفر دوم) ، مراد علیزاده (نفر سوم) ، حمید کرمی کبیر (نفر چهارم)

چکیده

In this paper, A new class of distributions called the Zografos-Balakrishnan odd log-logistic Generalized halfnormal (ZOLL-GHN) family with four parameters is introduced and studied. Useful representations and some mathematical properties of the new family include moments, quantile function, moment Generating function are investigated. The maximum likelihood equations for estimating the parameters based on real data are given. Different methods have been used to estimate its parameters such as maximum likelihood, Least squares, weighted least squares, Crammer-von-Misers, Anderson-Darling and right-tailed Anderson-Darling methods. We assesses the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study. Finally, the usefulness of the family and fitness capability of this model, are illustrated by means of two real data sets.