| Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference |
2018 |
333 |
The Lindley distribution has been generalized by many authors in recent years. A new two-parameter distribution is introduced, called Alpha Power Transformed Lindley (aP T L) distribution that provides better fit than the Lindley distribution and som... |
| The Beta Exponential Fréchet Distribution with Applications |
2017 |
650 |
We define and study a new generalization of the Fréchet distribution called the beta exponential Fréchet distribution. The new model includes thirty two special models. Some of its mathematical properties, including explicit expressions for the ordin... |
| Bivariate and Multivariate Weighted Kumaraswamy Distributions: Theory and Applications |
2019 |
903 |
Weighted distributions (univariate and bivariate) have received widespread attention over the last two decades because of their flexibility for analyzing skewed data. In this paper, we derive the bivariate and multivariate weighted Kumaraswamy distri... |
| Bivariate Beta and Kumaraswamy Models Developed Using the Arnold-Ng Bivariate Beta Distribution |
2017 |
103 |
In this paper we explore some mechanisms for constructing bivariate and multivari- ate beta and Kumaraswamy distributions. Specifically, we focus our attention on the Arnold-Ng (2011) eight parameter bivariate beta model. Several models in the litera... |
| Bivariate Kumaraswamy models involving use of Arnold-Ng Copulas |
2014 |
168 |
Bivariate Kumaraswamy distributions and several related variants have received a significant amount of interest over the last few years. However, construction of bivariate and multivariate Kumaraswamy distributions using copulas has not been explored... |
| Bivariate Kumaraswamy models via modified symmetric FGM copulas: Properties and Applications in Insurance modeling |
2017 |
623 |
A copula is a useful tool for constructing bivariate and/or multivariate dis- tributions. In this article, we consider a new modified class of (Farlie-Gumbel- Morgenstern) FGM bivariate copula for constructing several different bivariate Ku- maraswam... |
| Characterizations of the Weibull-X and Burr XII Negative Binomial Families of Distributions |
2015 |
121 |
In this paper, we establish certain characterizations of the Weibull-X family of distributions proposed by Alzaatreh et al. (2013) as well as of the Burr XII Negative Binomial distribution, introduced by Ramos et al. (2015). These characterizations a... |
| Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
2021 |
708 |
Exponentiated exponential (EE) model has been used effectively in reliability, engineering, biomedical, social sciences, and other applications. In this study, we introduce a new bivariate mixture EE model with two parameters assuming two cases, inde... |
| Data augmentation based methods for estimating the parameters of the Feller-Pareto Distribution: Theory and applications |
2024 |
195 |
In income and wealth data modeling Pareto distribution and its several variants play an important role. Both univariate and multivariate variations of this model have been extensively used as a suitable model for various non-negative socio-economic v... |
| Finding most nearly compatible conditionals under a finite discrete set-up: An overview and recent developments |
2024 |
36 |
In modeling complicated real-life scenarios, one objective is to capture the dependence being observed. Consequently, conditional specification is a worthy alternative to the joint-distribution models. Since its’ inception, the use of divergence meas... |
| General results for the transmuted family of distributions and new models |
2016 |
187 |
The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and expo... |
| The generalized Cauchy family of distributions with applications |
2016 |
834 |
A family of generalized Cauchy distributions, T-Cauchy{Y} family, is proposed using the T-R{Y} framework. The family of distributions is generated using the quantile functions of uniform, exponential, log-logistic, logistic, extreme value, and Fréche... |
| The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application |
2017 |
202 |
We introduce a new class of distributions called the generalized odd generalized exponential family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, R??´ny... |
| The Generalized Transmuted Poisson-G Family of Distributions: Theory, Characterizations and Applications |
2018 |
690 |
In this work, we introduce a new class of continuous distributions called the generalized Poisson family which extends the quadratic rank transmutation map. We provide some special models for the new family. Some of its mathematical properties includ... |
| Kumaraswamy-Half-Cauchy Distribution: Characterizations and Related Results |
2015 |
610 |
We present various characterizations of a recently introduced distribution (Ghosh 2014), called Kumaraswamy- Half- Cauchy distribution based on: (i) a simple relation between two truncated moments; (ii) truncated moment of certain function of the 1st... |
| A New Class of Kumaraswamy Mixture Distribution for Income Modeling |
2015 |
697 |
Pareto distribution and their close relatives and generalizations provide very flexible families of heavy-tailed distributions which may be used to model income distributions as well as a wide variety of other social and economic distributions. Based... |
| A new discrete pareto type (IV) model: theory, properties and applications |
2020 |
717 |
Discrete analogue of a continuous distribution (especially in the univariate domain) is not new in the literature. The work of discretizing continuous distributions begun with the paper by Nakagawa and Osaki (1975) to the best of the knowledge of the... |
| A New Extended Burr XII Distribution |
2017 |
691 |
In this paper, we propose a new lifetime distribution, namely the extended Burr XII distribution (using the technique as mentioned in Cordeiro et al. (2015)). We derive some basic properties of the new distribution and provide a Monte Carlo simulatio... |
| A note on Sum, Difference, Product and Ratio of Kumaraswamy Random Variables |
2018 |
128 |
Explicit expressions for the densities of S = X1 + X2 , D = X1 - X2 , P = X1X2 and R = X1/X2 are derived when X1 and X2 are independent or sub-independent Kumaraswamy random variables. The expressions appear to involve the incomplete gamma functions.... |
| The Odd Log-Logistic Dagum Distribution: Properties and Applications |
2018 |
614 |
This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties ... |
| On Classical and Bayesian Inference for Bivariate Geometric Conditionals Distributions: A Brief Study |
2024 |
49 |
Examples and applications of bivariate count data can be found in many real-life scenarios, including but not limited to proportional odds ratio, traffic statistics, epidemiological studies etc. Bivariate geometric distributions and several different... |
| On discriminating between Libby-Novick generalized beta and Kumaraswamy distributions: theory and methods |
2023 |
447 |
In fitting a continuous bounded data, the generalized beta (and several variants of this distribution) and the two-parameter Kumaraswamy (KW) distributions are the two most prominent univariate continuous distributions that come to our mind. There ar... |
| On Shifted Weibull-Pareto Distribution |
2016 |
147 |
The Lomax distribution, known as Pareto (type II) distribution, is a heavy tail probability distribution used extensively in business, economics and in actuarial modeling. The Weibull-Pareto distribution defined by Alzaatreh et al. (2013a) has shown ... |
| On the Weibull-X family of distributions |
2015 |
669 |
In this paper, the Weibull-X family is proposed and some of its properties are discussed. A member of the Weibull-X family, the Weibull-logistic distribution, is defined and studied. Various properties of the Weibull- logistic distribution are obtain... |
| Statistical Inference of Kumaraswamy Distribution under Imprecise Information |
2017 |
648 |
Traditional statistical approaches for estimating the parameters of the Kumaraswamy distribution have dealt with precise information. However, in real world situations, some information about an underlying experimental process might be imprecise and ... |
| Tail Conditional Expectations Based on Kumaraswamy Dispersion Models |
2021 |
653 |
Recently, there seems to be an increasing amount of interest in the use of the tail conditional expectation (TCE) as a useful measure of risk associated with a production process, for example, in the measurement of risk associated with stock returns ... |
| The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications |
2017 |
122 |
In this paper, we introduce a new family of continuous distributions called the transmuted Topp-Leone G family which extends the transmuted class pioneered by Shaw and Buckley (2007). Some of its mathematical properties including probability weighted... |