Ayman Alzaatreh

Austin Peay State University · Department of Mathematics

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 obtained. The distribution is found to be unimodal and the shape can be symmetric, right skewed or left ske...

Life satisfaction refers to an individual’s cognitive evaluation of the quality of their life. The aim of the present study is to develop the current understanding of how perceived corruption, attitudes toward migration, perceived security, and strength of national identity influence life satisfaction. Additionally, the study examines how demograph...

Public and private organizations are striving to achieve excellence in their performance and services provided. Innovation has been at the forefront to provide new and creative ways to help public organizations achieve this. Despite the reported success, there are wide discrepancies in the planning and management of innovative programs in developin...

The ongoing exploration of outlier detection involves the development and refinement of diverse statistical analysis procedures. In this paper, we examine the performance of the standardized range and relative range in detecting outliers in a skewed data. The proposed approach considers Weibull distribution as a placeholder for skewed data. The emp...

In the post-COVID era, academic institutions adapted curricula, utilizing aspects of the online delivery in full or partially. Consequently, this research focuses on identifying the factors that influence faculty perceptions of effective online delivery in higher education and comparing them with students’ perceptions. The study involves semi-struc...

There is no doubt that the sudden migration to online learning amid COVID-19 has caused a degree of stress to students and faculty in higher education globally. Although several studies have reported on the challenges that faced the academic world during the pandemic and lessons learnt from some of the practices adopted through the delivery of onli...

The expanding development of data mining and statistical learning techniques have enriched recent efforts to understand and identify metagenomics biomarkers in airways diseases. In contribution to the growing microbiota research in respiratory contexts, this study aims to characterize respiratory microbiota in asthmatic patients (pediatrics and adu...

Multivariate regression models based on multivariate discrete distributions will be defined and studied. Multivariate discrete distributions including some distributions generated from the T-R{W} method will be defined. Models that allow both positive and negative correlation between any pair of response variables will be considered. The model para...

To mitigate the curse of dimensionality in high-dimensional datasets, feature selection has become a crucial step in most data mining applications. However, no feature selection method consistently delivers the best performance across different domains. For this reason and in order to improve the stability of the feature selection process, ensemble...

University graduates' competencies and skills have been of interest to higher education accreditation agencies, academicians, researchers and the workplace. Hence, higher education institutions are expected to produce employable graduates who possess refined team work skills, know the theoretical foundations of their major, have acquired the necess...

With the aim of appraising the impact of Emergency Remote Teaching (ERT) amidst the COVID-19 pandemic on college students, an online survey was conducted in December 2020 on a total of 588 undergraduate students at the American University of Sharjah in the United Arab Emirates. The purpose of the study was to probe into the perceptions of college s...

Photovoltaic solar systems are widely used as a renewable energy resource worldwide due to the numerous negative impacts of the conventional-depleted energy resources. In the context of the Middle East, the United Arab Emirates has been a pioneer in regulating renewable energy and setting annual targets for the dependency on and market share of ren...

Cryptocurrency has become the leading method for peer-to-peer electronic cash system. It uses cryptography to secure financial transactions. Recently, several researchers have attempted to understand the behaviors of cryptocurrency exchange rates. In this paper, we introduce a new location–scale family of distributions to understand the distributio...

The time and cost to start a business are highly related to the degree of transparency of business information, which strongly impacts the loss due to illicit financial flows. In order to study the distributional characteristics of time and cost to start a business, we introduce right-truncated and left-truncated T-X families of distributions. Thes...

In the past decade, big data has become increasingly prevalent in a large number of applications. As a result, datasets suffering from noise and redundancy issues have necessitated the use of feature selection across multiple domains. However, a common concern in feature selection is that different approaches can give very different results when ap...

The traditional linear regression model that assumes normal residuals is applied extensively in engineering and science. However, the normality assumption of the model residuals is often ineffective. This drawback can be overcome by using a generalized normal regression model that assumes a non-normal response. In this paper, we propose regression...

A new two-parameter distribution is defined for modeling non-monotone lifetime data. It is constructed based on the logistic-G family and the exponential distribution. Its hazard rate properties are different than those of the well-known distributions. Some of its statistical properties are presented. An extended regression based on the logarithm o...

In this paper, the moment of various types of sine and cosine functions are derived for any random variable. For an arbitrary even probability density function, the sine and cosine moments are used to define new families of univariate multimodal probability density and their corresponding characteristic functions. For illustration, two weighted mul...

A generalization of the Lindley distribution namely, Lindley negative-binomial distribution, is introduced. The Lindley and the exponentiated Lindley distributions are considered as sub-models of the proposed distribution. The proposed model has flexible density and hazard rate functions. The density function can be decreasing, right-skewed, left-s...

We introduce a new lifetime distribution, called the Alpha-Power Transformed Lomax (APTL) Distribution which generalizes the Lomax distribution to provide better fits than the Lomax distribution and some of its known generalizations. Various properties of the proposed distribution, including explicit expressions for the quantiles, mode, moments, co...

Recently, Alzaatreh et al. (2013a, 2013b) introduced a new method for generating new distributions. They used the method to propose a new distribution, called, the Weibull‐Pareto distribution (WPD). It is observed that the proposed distribution can be used quite effectively to model skewed data. They also proposed a modification of the maximum like...

Recently, Alzaatreh et al. (2013a, 2013b) introduced a new method for generating new distributions. They used the method to propose a new distribution, called, the Weibull-Pareto distribution (WPD). It is observed that the proposed distribution can be used quite effectively to model skewed data. They also proposed a modification of the maximum like...

A few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD). Unlike the Cauchy distribution, EECD can have moments for some restricted parameters space. The distribution has wide range of skewne...

In this paper, we propose a new method for generating distributions based 2 on the idea of alpha power transformation introduced by Mahdavi and Kundu (Com3 mun Stat TheoryMethods 46(13):6543–6557, 2017). The new method can be applied 4 to any distribution by inverting its quantile function as a function of alpha power 5 transformation. We apply the...

A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions, leads to more flexible models. In this paper, we define a new three-parameter lifetime model call...

We introduce a three-parameter extension of the exponential distribution which contains as sub-models the exponential, logistic-exponential and Marshall-Olkin exponential distributions. The new model is very flexible and its associated density function can be decreasing or unimodal. Further, it can produce all of the four major shapes of the hazard...

The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

In this paper, a generalisation of the exponential distribution, namely, Weibull exponentiated-exponential (WEE) distribution, is proposed. The shapes of the density function possess great flexibility. It can accommodate various hazard shapes such as reversed-J, increasing, decreasing, constant and upside-down bathtub. Various properties of the WEE...

A new compound family of lifetime distributions is introduced to deal with lifetime data. We study some of its structural properties. A special model of the family, called the Poisson Weibull-Pareto (PWP) model, is defined. Its density can have shapes such as left-skewed, approximately symmetric and right-skewed. It can also accommodate different h...

We propose and study a new compounded model to extend the half-Cauchy and power-Cauchy distributions, which offers more flexibility in modeling lifetime data. The proposed model is analytically tractable and can be used effectively to analyze censored and uncensored data sets. Its density function can have various shapes such as reversed-J and righ...

We introduce new generalized classes of exponential distribution, called T-exponential{Y} class using the quantile functions of well-known distributions. We derive some general mathematical properties of this class including explicit expressions for the quantile function, Shannon entropy, moments and mean deviations. Some generalized exponential fa...

In this paper, a new family of distributions is proposed by using quantile functions of known distributions. Some general properties of this family are studied. A special case of the proposed family is studied in detail, namely the Lomax-Weibull distribution. Some structural properties of the special model are established. This distribution has bee...

We introduce a new four-parameter distribution with constant, decreasing, increasing, bathtub and upside-down bathtub failure rate called the transmuted exponentiated generalized Weibull model. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi ´ and Shannon entropi...

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 Fréchet distributions. Several general properties of the T-Cauchy{Y} family are studied in detail includin...

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 high bias and standard error for the ML estimates when the parameter $c>>1$. In this paper we use th...

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 propose an alternative method to construct a new family of bivariate and multivariate weighted distributions. For illustrative purposes, some examples of the propose...

We introduce a new class of continuous distributions called the Kumaraswamy transmuted-G family which extends the transmuted class deÖned by Shaw and Buckley (2007). Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Ren...

We propose a new three-parameter distribution with increasing, decreasing, reversed-J and upside-down bathtub shaped hazard rate, called the Weibull-power Cauchy distribution. We obtain explicit expressions for the mode, ordinary, negative and incomplete moments, mean deviations, mean residual life, quantile and generating functions, order statisti...

This article proposes a particular member of the weighted bivariate distribution , namely, bivariate weighted generalized exponential distribution. This distribution is obtained via conditioning, starting from three independent generalized exponential distributions with different shape but equal scale parameters. Several structural properties of th...

We introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be left-skewed, right-skewed and symmetrical shapes. It has increasing, decreasing, upside-down bathtub, bathtub, J and reversed-J shaped hazard rate shapes. Various structural pro...

We introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be left-skewed, right-skewed and symmetrical shapes. It has increasing, decreasing, upside-down bathtub, bathtub, J and reversed-J shaped hazard rate shapes. Various structural pro...

A new distribution, namely, the Gamma-Half-Cauchy distribution is proposed. Various properties of the Gamma-Half-Cauchy distribution are studied in detail such as limiting behavior, moments, mean deviations and Shannon entropy. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is obtained. Tw...

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 in...

In this paper, we establish certain characterizations of theWeibull-X family of distributions proposed by Alzaatrehet al. (2013) as well as of the Burr XII Negative Binomial distribution, introduced by Ramos et al. (2015).These characterizations are based on two truncated moments, hazard rate function and conditional expectation offunctions of rand...

The concept of weighted distributions is well-known in the literature concerning observational studies and surveys in research related to forestry, ecology, bio-medicine and many other areas. This paper proposes a new bivariate and multivariate exponential distribution. Several structural properties of the proposed bivariate exponential distributio...

The logistic distribution and the S-shaped pattern of its cumulative distribution and quantile functions have been extensively used in many different spheres affecting human life. By far the most well-known application of logistic distribution is in the logistic regression which is used for modeling categorical response variables. The exponentiated...

Pareto distributions and their close relatives and generalizations provide very flexible families of heavy-tailed distributions that may be used to model income distributions as well as a wide variety of other social and economic distributions. On the other hand, gamma distribution has a wide application in various social and economic spheres such...

Many distributions have been used as lifetime models. Recently, a generator of dis-tributions called the Weibull-G class was proposed by Bourguignon et al. (2014). We propose a new three-parameter Weibull-Pareto distribution, which can produce the most important hazard rate shapes, namely constant, increasing, decreasing, bathtub and upsidedown-bat...

The logistic distribution has a prominent role in the theory and practice of statistics. We introduce a new family of continuous distributions generated from a logistic random variable called the logistic-X family. Its density function can be symmetrical, left-skewed, right-skewed and reversed-J shaped, and can have increasing, decreasing, bathtub...

The idea of generating skewed distributions from normal has been of great interest among researchers for decades. This paper proposes four families of generalized normal distributions using the T-X framework. These four families of distributions are named as T-normal families arising from the quantile functions of (i) standard exponential, (ii) sta...

A new generalization of the logistic distribution is defined and studied, namely, the gamma-logistic distribution. Various properties of the gamma-logistic are obtained. The structural analysis of the distribution includes moments, mode, quantiles, skewness, kurtosis, Shannon's entropy and order statistics. The method of maximum likelihood estimati...

In this paper, some properties of gamma-X family are discussed and a member of the family, the gamma-normal distribution, is studied in detail. The limiting behaviors, moments, mean deviations, dispersion, and Shannon entropy for the gamma-normal distribution are provided. Bounds for the non-central moments are obtained. The method of maximum likel...

In this paper, a new method is proposed for generating families of continuous distributions. A random variable $X$ , “the transformer”, is used to transform another random variable $T$ , “the transformed”. The resulting family, the $T$ - $X$ family of distributions, has a connection with the hazard functions and each generated distribution i...

In this article, a new distribution, namely, Weibull-Pareto distribution is defined and studied. Various properties of the Weibull-Pareto distribution are obtained. The distribution is found to be unimodal and the shape of the distribution can be skewed to the right or skewed to the left. Results for moments, limiting behavior, and Shannon's entrop...

There has been a renewed interest in developing more flexible statistical distributions in recent decades. A major milestone in the methods for generating statistical distributions is undoubtedly the system of differential equation approach. There is a recent renewed interest in generating skewed distributions. Generally speaking, the methods devel...

A new distribution, the gamma-half normal distribution, is proposed and studied. Various structural properties of the gamma-half normal distribution are derived. The shape of the distribution may be unimodal or bimodal. Results for moments, limit behavior, mean deviations and Shannon entropy are provided. To estimate the model parameters, the metho...

In this paper, a new method is proposed for generating discrete distributions. A special class of the distributions, namely, the T-geometric family contains the discrete analogues of continuous distributions. Some general properties of the T-geometric family of distributions are obtained. A member of the T-geometric family, namely, the exponentiate...