مشخصات پژوهش

خانه /The McDonald Gompertz ...
عنوان
The McDonald Gompertz Distribution: Properties and Applications
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
Entropy -Gompertz distribution-Kumaraswamy distribution-Maximum likelihood estimation-McDonald distribution-Moment generating function .
چکیده
This paper introduces a ve-parameter lifetime model called the McDonald Gompertz (McG) distribution, to extend the Gompertz, generalized Gompertz, generalized exponen- tial, beta Gompertz and Kumaraswamy Gompertz distributions, among several other mod- els. The hazard function of new distribution can be increasing, decreasing, upside-down bathtub and bathtub shaped. We obtain several properties of the McG distribution includ- ing moments, entropies, quantile and generating functions. We provide the density function of the order statistics and their moments. The parameter estimation is based on the usual maximum likelihood approach. We also provide the observed information matrix and dis- cuss inferences issues. The flexibility and usefulness of the new distribution is illustrated by means of application to two real data sets.
پژوهشگران رسول روزگار (نفر اول)، سعید طهماسبی (نفر دوم)، علی اکبر جعفری (نفر سوم)