The Generalized Alpha Exponent Power Family of Distributions: Properties and Applications
نویسندگان
چکیده
Here, a new method is recommended to characterize continuous distribution class, named the generalized alpha exponent power family of distributions (GAEPFDs). A particular sub-model presented for exemplifying objective. The basic statistical properties, such as ordinary moments, probability weighted mode, quantile, order statistics, entropy measures, and moment generating functions, etc., were explored. To gauge GAEPPRD parameters, ML technique was utilized. estimator behaviour studied by Monte Carlo simulation study (MCSS). effectiveness GAEPFDs demonstrated observationally through lifetime data. applications show that can offer preferable results over other competitive models.
منابع مشابه
The Weighted Exponentiated Family of Distributions: Properties, Applications and Characterizations
In this paper a new method of introducing an additional parameter to a continuous distribution is proposed, which leads to a new class of distributions, called the weighted exponentiated family. A special sub-model is discussed. General expressions for some of the mathematical properties of this class such as the moments, quantile function, generating function and order statistics are derived;...
متن کاملHessian Stochastic Ordering in the Family of multivariate Generalized Hyperbolic Distributions and its Applications
In this paper, random vectors following the multivariate generalized hyperbolic (GH) distribution are compared using the hessian stochastic order. This family includes the classes of symmetric and asymmetric distributions by which different behaviors of kurtosis in skewed and heavy tail data can be captured. By considering some closed convex cones and their duals, we derive some necessary and s...
متن کاملGeneralized Transmuted Family of Distributions: Properties and Applications
We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called the Generalized Transmuted Family of Distributions. We investigate the shapes and present some special models. The new density function can be expressed as a linear combination of exponentiated densities in terms of the same baseline distribution. We obtain expl...
متن کاملFamily of generalized gamma distributions: Properties and applications
In this paper, a family of generalized gamma distributions, T -gamma family, has been proposed using the T -R{Y } framework. The family of distributions is generated using the quantile functions of uniform, exponential, log logistic, logistic and extreme value distributions. Several general properties of the T -gamma family are studied in details including moments, mean deviations, mode and Sha...
متن کاملThe Weibull Topp-Leone Generated Family of Distributions: Statistical Properties and Applications
Statistical distributions are very useful in describing and predicting real world phenomena. Consequently, the choice of the most suitable statistical distribution for modeling given data is very important. In this paper, we propose a new class of lifetime distributions called the Weibull Topp-Leone Generated (WTLG) family. The proposed family is constructed via compounding the Weibull and the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10091421