کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420926 1631807 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Lomax generator of distributions: Properties, minification process and regression model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The Lomax generator of distributions: Properties, minification process and regression model
چکیده انگلیسی

We propose a new class of distributions called the Lomax generator with two extra positive parameters to generalize any continuous baseline distribution. Some special models such as the Lomax-normal, Lomax-Weibull, Lomax-log-logistic and Lomax-Pareto distributions are discussed. Some mathematical properties of the new generator including ordinary and incomplete moments, quantile and generating functions, mean and median deviations, distribution of the order statistics and some entropy measures are presented. We discuss the estimation of the model parameters by maximum likelihood. We propose a minification process based on the marginal Lomax-exponential distribution. We define a log-Lomax-Weibull regression model for censored data. The importance of the new generator is illustrated by means of three real data sets.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 247, 15 November 2014, Pages 465-486
نویسندگان
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