In this article, we generalize the Rayleigh distribution using quadratic rank transmutation map studied by Shaw et al. (2009) to develop a transmuted distribution. We provide comprehensive description of mathematical properties subject along with its reliabilitybehavior. The usefulness for modeling data is illustrated real data.

In this article, we generalize the Lindley distribution using quadratic rank transmutation map studied by Shaw et al. [8] to develop a transmuted distribution. We provide comprehensive description of mathematical properties subject along with its reliability behavior. The usefulness for modeling data is illustrated real data.

In this paper, we present a new class of distributions called New Generalized Lindley Distribution(NGLD). This contains several such as gamma, exponential and special cases. The hazard function, reverse moments moment generating function inequality measures are obtained. Moreover, discuss the maximum likelihood estimation distribution. usefulness model is illustrated by means two real data sets. We hope that distribution proposed here will serve an alternative to other models available in...

In this article, a two-parameter generalized inverse Lindley distribution capable of modeling upside-down bathtub-shaped hazard rate function is introduced. Some statistical properties proposed are explicitly derived here. The method maximum likelihood, least square, and product spacings used for estimating the unknown model parameters also compared through simulation study. approximate confidence intervals, based on normal log-normal approximation, computed. Two algorithms generating random...

In this paper, a new family of continuous distributions called the exponentiated transmuted-G is proposed which extends defined by Shaw and Buckley (2007). Some its mathematical properties including explicit expressions for ordinary incomplete moments, generating function, Rényi Shannon entropies, order statistics are derived. special models provided. The maximum likelihood used estimating model parameters. We provide simulation results to assess performance model. usefulness flexibility...

We introduce the new continuous distribution, so-called beta-Lindley distribution that extends Lindley distribution. provide a comprehensive mathematical treatment of this derive moment generating function and r th thus, generalizing some results in literature. Expressions for density, function, order statistics also are obtained. Further, we discuss estimation unknown model parameters both classical Bayesian setup. The usefulness is illustrated by means two real data sets. hope proposed...

We develop a new continuous distribution called the beta-Burr type X that extends Burr distribution. The properties provide comprehensive mathematical treatment of this Further more, various structural are derived, includes moment generating function and rth thus generalizing some results in literature. also obtain expressions for density, order statistics. consider maximum likelihood estimation to estimate parameters. Additionally, asymptotic confidence intervals parameters derived from...

We introduce and study general mathematical properties of a new generator continuous distributions with two extra parameters called the Generalized Transmuted Family Distributions. investigate shapes present some special models. The density function can be expressed as linear combination exponentiated densities in terms same baseline distribution. obtain explicit expressions for ordinary incomplete moments generating function, Bonferroni Lorenz curves, asymptotic distribution extreme values,...

In this article, we generalize the generalized Rayleigh distribution using qu adratic rank transmutation map studied by Shaw et al. (9) to develop a transmuted distribution. We provide comprehensive description of mathematical properties subject along with its reliability behav ior. The usefulness for modeling data is illustrated real data.

A generalization of the generalized inverse Weibull distribution so-called transmuted is proposed and studied. We will use quadratic rank transmutation map (QRTM) in order to generate a flexible family probability distributions taking inverseWeibull as base value by introducing new parameter that would offer more distributional flexibility. Various structural properties including explicit expressions for moments, quantiles, moment generating function are derived. propose method maximum...

We introduce and study general mathematical properties of a new generator continuous distributions with two extra parameters called the Generalized transmuted family distributions. present some special models. investigate asymptotes shapes. The density function can be expressed as linear combination exponentiated densities based on same baseline distribution. obtain explicit expressions for ordinary incomplete moments generating functions, Bonferroni Lorenz curves, asymptotic distribution...

A functional composition of the cumulative distribution function one probability with inverse another is called transmutation map.In this article, we will use quadratic rank map (QRTM) in order to generate a flexible family distributions taking Lindley geometric as base value by introducing new parameter that would offer more distributional flexibility.It be shown analytical results are applicable model real world data.

We study a new family of distributions defined by the minimum Poisson random number independent identically distributed variables having Topp Leone-G distribution (see Rezaei et al., (2016)). Some mathematicalproperties including ordinary and incomplete moments, quantile generating functions, mean deviations, order statistics, reliability entropies are derived. Maximum likelihood estimation model parameters is investigated. special models newfamily discussed. An application carried out on...

We introduce a new distribution named Exponentiated Generalized Burr type X (EGBX) with four parameters. This model can be expressed as mixture of (BX) different Several sub models are investigated and also some important structure properties derived including the quantile function, limit behavior, rth moment, moment-generating Rényi entropy, order statistics. estimate parameters using maximum likelihood estimation. Finally, simulation study is carried at under varying sample size to assess...

We develop a new continuous distribution called the Gamma-Burr type X (GBX) that extends Burr has increasing, decreasing and bathtub shapes for hazard function. Various structural properties of this are provide, includes limit behavior, Quantile function sub-models. From generalization probability density cumulative distribution, expression rth moment, moment generating function, Rényi entropy, order statistics can be established. considered maximum likelihood estimation to estimate...

A functional composition of the cumulative distribution function one probability with inverse another is called transmutation map. In this article, we will use quadratic rank map (QRTM) in order to generate a flexible family distributions taking Lindley geometric as base value by introducing new parameter that would offer more distributional flexibility. It be shown analytical results are applicable model real world data.

In this paper we obtain Bayes' estimators under symmetric and asymmetric loss functions for the unknown parameters of Weibull Rayleigh distribution. When all three are unknown, closed-form expressions Bayes cannot be obtained. We use Lindley's approximation to compute estimates. The have been compared through their simulated risks. also reliability characteristic using both as well compare its performance based on a Monte Carlo simulation study. Finally, numerical study is provided...

A six parameter distribution so-called the McDonald modified Weibull is defined and studied. The new contains, as special submodels, several important distributions discussed in literature, such beta Weibull, Kumaraswamy distribution,among others. can be used effectively analysis of survival data since it accommodates monotone, unimodal bathtub-shaped hazard functions. We derive moments.We propose method maximum likelihood for estimating model parameters obtain observed information matrix....