08 اردیبهشت 1403
حميد كرمي كبير

حمید کرمی کبیر

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه آمار
تحصیلات: دکترای تخصصی / آمار
تلفن: 09188175368
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان Extended Exponentiated Chen Distribution: Mathematical Properties and Applications
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
Chen distribution, Exponentiated Chen distribution, Moments, Mean residual life, Mean past lifetime, Maximum likelihood estimation
مجله Statistics, Optimization and Information Computing
شناسه DOI 10.19139/soic-2310-5070-1098
پژوهشگران زهره زمانی (نفر اول) ، محمود افشاری (نفر دوم) ، حمید کرمی کبیر (نفر سوم) ، مراد علیزاده (نفر چهارم) ، میرمعصوم علی میرمعصوم علی (نفر پنجم)

چکیده

In this paper, we introduce a new four-parameter distribution which is called Extended Exponentiated Chen (EE-C) distribution. Theoretical properties of this model including the hazard function, moments, conditional moments, mean residual life, mean past lifetime, coefficients of skewness and kurtosis, order statistics and asymptotic properties are derived and studied. The maximum likelihood estimation technique is used to estimate the parameters of this model. The estimation of the model parameters by Least squares, Weighted Least Squares, Crammer-von-Mises, Anderson-Darling and right-tailed Anderson-Darling methods are also briefly introduced and numerically investigated. Moreover, simulation schemes are derived. At the end, three applications of the model with three real data sets are presented for the illustration of the flexibility of the proposed distribution.