مشخصات پژوهش

خانه /THE ODD LOG-LOGISTIC GOMPERTZ ...
عنوان
THE ODD LOG-LOGISTIC GOMPERTZ LIFETIME DISTRIBUTION: PROPERTIES AND APPLICATIONS
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
odd log-logistic, Gompertz distribution, maximum likelihood estimation.
چکیده
In this paper, we introduce a new three-parameter generalized version of the Gompertz model called the odd log-logistic Gompertz (OLLGo) distribution. It includes some well-known lifetime distributions such as Gompertz (Go) and odd log-logistic exponential (OLLE) as special sub-models. This new distribution is quite flexible and can be used effectively in modeling survival data and reliability problems. It can have a decreasing, increasing and bathtub-shaped failure rate function depending on its parameters. Some mathematical properties of the new distribution, such as closed-form expressions for the density, cumulative distribution, hazard rate function, the kth order moment, moment generating function and the quantile measure are provided. We discuss maximum likeli- hood estimation of the OLLGo parameters as well as three other estimation methods from one observed sample. The flexibility and usefulness of the new distribution is illustrated by means of application to a real data set.
پژوهشگران مراد علیزاده (نفر اول)، سعید طهماسبی (نفر دوم)، محمد رضا کاظمی (نفر سوم)، حمیده سیامر عربی نژاد (نفر چهارم)، G.G. Hamedani (نفر پنجم)