A Weighted Version of Gamma Distribution
نویسندگان
چکیده
Weighted Gamma (WG), a weighted version of Gamma distribution, is introduced. The hazard function is increasing or upside-down bathtub depending upon the values of the parameters. This distribution can be obtained as a hidden upper truncation model. The expressions for the moment generating function and the moments are given. The non-linear equations for finding maximum likelihood estimators (MLEs) of parameters are provided and MLEs have been computed through simulations and also for a real data set. It is observed that WG fits better than its submodels (WE), Generalized Exponential (GE), Weibull and Exponential distributions.
منابع مشابه
معرفی روش جدید ارزیابی گاما وزن داده شده برای مقایسه توزیع دوز به دست آمده از الگوریتمهای محاسباتی دوز با نتایج تجربی در پرتودمانی
Introduction: One of the problems that exists in the quality control procedure of the treatment planning systems and the computer simulation of the radiotherapy or diagnostic radiology validation is comparing the dose distribution resulted from the dose calculation algorithms with the experimental results(as a reference). For this purpose, several methods have been proposed to compare these dos...
متن کاملAn Extended Generalized Lindley Distribution and Its Applications to Lifetime Data
In this paper, a four parameters extension of the generalized Lindley distribution is introduced. The new distribution includes the power Lindley, Lindley, generalized (Stacy) gamma, gamma, Weibull, Rayleigh, exponential and half-normal distribution. Several statistical properties of the distribution are explored. Then, a bivariate version of the proposed distribution is derived. Using a simula...
متن کاملEvaluating the Performance of the Artificial Bee Colony Algorithm in Flood Frequency Analysis
Selection of the appropriate distribution function and estimation of its parameters are two fundamental steps in the accurate estimation of flood magnitude. This study relied on the concept of optimization by meta heuristic algorithms to improve the results obtained from the conventional methods of parameter estimation, such as maximum likelihood (ML), moments (MOM) and probability weighted mom...
متن کاملSkew-t distribution is an appropriate alternative for the weighted exponential distribution
In this manuscript first a brief introduction to the Skew-t and Weighted exponential distributions is considered and some of their important properties will be studied. Then we will show that the Skew-t distribution is prefered to the Weighted exponential distribution in fitting by using the real data. Finally we will prove our claim by using the simulation method.
متن کاملapplication of crovelli's bivariate gamma distribution in hydrological processes
Mathematical methods and statistical distributions present exact results in the climate calculations and hydrological processes. Awareness of the rainfall probability distribution provides the appropriate conditions for water resource planning. Many studies have been done to estimate probability of rainfall by various methods due to the importance of rainfall distribution in the economic, soci...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014