A Modified Gamma Model: Properties, Estimation, and Applications

نویسندگان

چکیده

Statistical methods are essential for describing, predicting, and modeling natural phenomena in numerous application areas. These helpful predicting data medicine, reliability engineering, actuarial science, other fields. This paper presents a novel, simple, fully flexible modified gamma model. The new model provides various forms of densities, including symmetric, asymmetric, unimodal, reversed-J shapes, as well bathtub-shaped failure rate, which is suitable the lifespan patients with an increased risk death. Some basic dynamic properties examined. Four estimating its parameters discussed, simulation study used to examine consistency efficiency these estimators. Finally, usefulness proposed demonstrated analysis some sets.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Power Normal-Geometric Distribution: Model, Properties and Applications

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

متن کامل

A New Modified Weibull Distribution and Its Applications

In this paper we introduce a four-parameter generalized Weibull distribution. This new distribution has a more general form of failure rate function. It is more general for modeling than six ageing classes of life distributions with appropriate choices of parameter values, so it can display decreasing, increasing, bathtub shaped, unimodal, increasing-decreasing increasing and decreasing-increas...

متن کامل

Genetically modified mice- Methods, applications and outlook

Background & Aim: Transgenic mice, of tengenerated by random integration of foreign genes into the mouse genome or by targeted mutation in a particular gene, have demonstrated to be a very effective tool for studying gene function in living things. In this review article, we discussed on the current methods of generating genetically-modified mice and their related problems and then investigated...

متن کامل

A NEW FOUR-PARAMETER DISTRIBUTION: PROPERTIES AND APPLICATIONS

In this paper a new four-parameter lifetime distribution named “the Exponentiated gompertz-poisson (E-GP) distribution” has been suggested that it has a decreasing, increasing, bathtub-shaped and inverse bathtub-shape for modeling lifetime data. The Exponentiated gompertz-poisson has applications in economics, actuarial modelling,reliability modeling, lifetime and queuing problems and biologica...

متن کامل

ESTIMATION OF SCALE PARAMETER UNDER A REFLECTED GAMMA LOSS FUNCTION

In this paper, the estimation of a scale parameter t under a new and bounded loss function, based on a reflection of the gamma density function, is discussed. The best scale-invariant estimator of tis obtained and the admissibility of all linear functions of the sufficient statistic, for estimating t in the absence of a nuisance parameter, is investigated

متن کامل

ذخیره 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: Axioms

سال: 2023

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms12030262