A Survey on Some Property of Generalized Gamma Distribution
نام عام مواد
Dissertation
نام نخستين پديدآور
Mohammed Fares Abd
وضعیت نشر و پخش و غیره
نام ناشر، پخش کننده و غيره
Mathematical Statistics
تاریخ نشرو بخش و غیره
1400
مشخصات ظاهری
نام خاص و کميت اثر
88p.
ساير جزييات
cd
یادداشتهای مربوط به پایان نامه ها
جزئيات پايان نامه و نوع درجه آن
Master's
نظم درجات
Statistics
زمان اعطا مدرک
1400/04/02
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This dissertation examines the various forms of generalized gammadistribution. These forms include exponential distributions, standard gamma,Weibull, and so on. These distributions are widely used to model various data,indicating the importance of the generalized gamma distribution. First, thegamma distribution model is introduced, the characteristics of this distributionare investigated and the model parameters are estimated using maximumlikelihood and torque methods, and then the special states of this distributionsuch as exponential distribution and its relationship with other distributionssuch as Khido and gamma logarithm are discussed. In the following, thegeneralized gamma distribution is introduced and we said how to determineits density function. Some basic features of this distribution such as mean,variance and torque generating function are determined and gammadistribution, Weibull and semi-normal distribution are introduced as specialcases of generalized gamma distribution. We also obtain the parameters ofthis model by the maximum likelihood method. The product distribution andthe ratio of two random variables with the generalized gamma distributionare investigated, and finally the hierarchical models and the method ofgenerating data from the generalized gamma distribution as well as theapproximation of the sum of random variables with the generalized gammadistribution are discussed.
عنوانهای گونه گون دیگر
عنوان گونه گون
بررسی برخی ویژگیهای توزیع کاما تعمیم یافته
اصطلاحهای موضوعی کنترل نشده
اصطلاح موضوعی
Maximum likelihood method, Torque method, Gamma distribution, Generalized gamma distribution, Linear torques
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )