عنوان : تحلیل داده های آماری بر اساس متغیر طول عمر: خواص آماری، برآورد، تابع طول عمر باقیمانده و گشتاورهای وزنی
موضوع : آمار در فناوری و مهندسی
سایر نویسندگان : جناب آقای ایمان مخدوم (نویسنده مسئول) ,جناب آقای شهرام یعقوب زاده شهرستانی
کد مقاله : csda1-02400191
ارائه دهنده : ایمان مخدوم
متن چکیده : In this research the Beta-Gompertz Geometric (BGG) is proposed for data analysis of lifetime. The distribution is a five-parameter generalized issue of the Gompertz model which is entitled to Beta-Gompertz Geometric (BGG) distribution. It comprises some common lifetime distributions for example the Beta-Gampertz and generalized Gompertz distributions that are as special sub-models. The proposed distribution is entirely flexible and it is able to apply for analyzing survival data and reliability issues, effectively. Based on the it’s parameters, it has decreasing, increasing, and bathtub-shaped failure rate. The closed-form expressions for the density, cumulative distribution, hazard rate function, the kth order moment, moment generating function, Residual life function and Probability weighted moments as mathematical properties are provided in the distribution. We will consider the maximum likelihood estimation of the BGG’s parameters for an observed sample. Finally, we use a real dataset to explain the flexibility of the BGG distribution in an application.