Mundher A. Khaleel

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Mundher verified their affiliation via an institutional email.

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• PhD, Mathematical Statistics
• PhD in Mathematical Statistics at University of Tikrit

In this paper, we introduce a new distribution, the Beta Burr type X with one parameter. The new distribution is extended from the Burr type X with one parameter. Various structural properties of the new distribution are derived including moment, and moment generating function. We consider the maximum likelihood estimation to estimate parameters of...

We introduce a new distribution named Exponentiated Generalized Burr type X (EGBX) distribution with four parameters. This new model can be expressed as a mixture of Burr type X (BX) distribution with different parameters. Several sub models are investigated and also some important structure properties of new model are derived including the quantil...

Developing new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the Lomax distribution was extended using the Gompertz family of distribution, its resulting densities and statistical properties were carefully derived and the method of maximum like...

In this paper, we developed a new continuous distribution called the Weibull-Burr type X distribution which extends the Burr type X distribution. We obtained expressions for the density and the cumulative function. We also derived various structural properties of the new distribution are included Quantile function, the moment, moment generating fun...

In this paper, a new compound continuous distribution named the Gompertz Fréchet distribution which extends the Frèchet distribution was developed. Its various statistical properties were also derived and estimation of model parameters was considered using the maximum likelihood estimation method. The application of the Gompertz Fréchet distributio...

In this article, we introduce a new family of distributions known as the Burr XII-G Family, which has two parameters. Within this family, we introduce the Odd Burr XII Exponential (OBXIIE) distribution. The OBXIIE distribution is created by combining the T-X family with the Burr XII distribution. Investigate some statistical features of the OBXIIE...

Generalized distributions benefit applied statisticians, and there are several approaches to expanding common distributions. This article presents a new sub-model, the Odd Burr XII-inverse Rayleigh (OBXII-IR) distribution, as well as a new family of generalized distributions, the Odd Burr-G family. To generate the OBXII-G family, we combine the T-X...

The parameters of the Burr XII-Inverse Exponential (BXII-IE) distribution were estimated in this work using a variety of Bayesian and non-Bayesian (Inference Classical) approaches. Methods like Maximum likelihood, least squares, weighted least squares, Maximum product space estimators, and Anderson Darling were developed for non-Bayesian estimators...

This paper will suggest a new type of continuous distribution called Odd Weibull Exponential Distribution (OWE) and the purpose of this distribution (OWE) is to apply to two sets of real data. The distribution (OWE) is as a sub-model of NOW-G family and many statistical properties have been derived. Quantile function, Expansion of functions...

Over the years, several scholars have attempted to create models for occurrences in which the data distribution exhibits varying degrees of heavy-tailedness. Various generalizations or expansions of the Lomax distribution have been suggested in order to achieve this objective. The behavior of the system is determined by two fundamental parameters:...

In this paper, we study a new statistical distribution called the hybrid odd exponential-exponential distribution (HOE-E distribution for short) we the aim of applying it to real data sets. This new distribution appears as a sub-model of the larger HOEE-Φ family in (Mahdi et al., 2024). We explore many mathematical and statistical properties of thi...

Over the past years, many academics in mathematical statistics have introduced new continuous distributions to respond to real-world data growth, and this adaptability or flexibility has become essential to this development. In this study, a new distribution called Gompertz Inverted Nadarajah-Haghighi (GoINH) is proposed, according to the Gompertz...

In this paper, the Burr type X distribution is represented as a mixture with the hybrid Weibull family, called hybrid hybrid Hybrid Weibull Inverse Burr Type X (HWIBX) distribution in order to justify its usefulness in modeling statistical regularities in extreme values recorded in non-stationary streams of media events, the basic new distribution...

In this study, we propose a continuous statistical distribution consisting of four parameters based onthe Gompertz family called the Gompertz Nadarajah-Haghighi (GoNH) distribution. Adding parameters to thebasic distribution provides the distribution with flexibility and efficiency in analysing real-world data. The modelthat was recently suggested...

We introduce a new flexible distribution four-parameter which is called [0,1]Truncated Exponentiated Exponential Burr type X distribution ([0,1] TEE-BX). Using binomial series expansion and exponential expansion, the new distribution is expanded by four parameters. We derive moments, moment generating function, quantile function, order statistics a...

In this paper, we introduce a novel family of continuous distributions known as the Odd Generalized Rayleigh-G Family. Within this family, we present a special sub-model known as the odd Generalized Rayleigh Inverse Weibull (OGRIW) distribution. The OGRIW distribution is derived by combining the T-X family and the Generalized Rayleigh distribution....

By determining the most significant variables that are connected to the response variable, Increasing prediction accuracy and processing speed can be achieved through the process of variable selection. Regression modeling has drawn a lot of interest from several scientific domains. One of the most effective nature-inspired algorithms that has been...

The paper introduces the hybrid odd exponential-Φ (HOE-Φ) family, a novel framework for generating a continuous distribution characterized by an additional parameter. Extensive statistical properties of this family are derived and explored in detail. Parameter estimation is performed using the maximum likelihood estimation technique. The efficacy a...

The use of statistical distributions to model life phenomena has received a great deal of attention in various sciences. Recent studies have shown the possibility of statistical distributions in data modeling in applied sciences, especially in environmental sciences. Among them is the inverse Weibull distribution, which is one of the most common st...

The motivation for this study is to develop the new family of continuous distributions called Odd Lomax-G (OLG). Also present a new flexible three-parameter distribution according to the developed family called the Odd Lomax-G Exponential (OLE) distribution. Using binomial series expansion, logarithmic, and exponential expansions, the new OLG famil...

The Gompertz Topp Leone Inverse Exponential (GoTLIE) distribution, which has three parameters, is a novel distribution that we introduce in this article. Inverse exponential (IE) distributions with various parameter values can be combined to form the new distribution. The moments, moment generating function, quantile function, reliability function,...

Article History: In the recent years the modeling of lifetime data is an essential research topic. Several research studies on this subject have appeared, aiming to introduce new statistical methodologies for dealing with lifetime phenomena. In this paper, we extension Inverse Weibull distribution by using the family [0,1] Truncated Exponentiated E...

When there is collinearity among the regressors in gamma regression models, we present a newtwo-parameter ridge estimator in this study. We look into the new estimator's mean squared error characteristics.Additionally, we offer several theorems to contrast the new estimators with the current ones. To compare theestimators under various collinearity...

A new family of distributions, called the Right truncated Xgamma-G, was developed. Explicit expressions for some of its statistical properties including the Renyi entropy, moments and generating functions, stress-strength reliability, Lorenz and Benferroni curves were established. The model parameters were estimated using the maximum likelihood est...

In this paper we employment the OJCA family of distributions to introduce a new generalization for Rayleigh distribution named OJCA Rayleigh distribution the new distribution with two parameters denoted by (OJCARay). The purpose of study is to derive some of its statistical properties such as, expansion of probability density function, quntaile fun...

We propose a new distribution called [0,1] Truncated inverse Weibull inverse exponential distribution with three parameters, which extends the inverse exponential distribution. We derive some mathematical properties of the proposed model including expansion of PDF and the quantile function, moments, generating function, survival, hazard functions e...

In this paper, we proposed a new distribution named Gompertz Inverse Weibull (GoIW) by using the Gompertz generalized family of distributions. The study extensively examined the significant properties of the GoIW distribution and utilized the maximum likelihood estimation technique to estimate its model parameters. A real data on rainfall was used...

This article also introduces the Gompertz-Topp-Leone inverse Rayleigh distribution and a one-parameter probability model, the statistical properties of which are thoroughly examined. Expressions for its moments as well as moment-producing, quantile, reliability, and hazard functions. Using the greatest likelihood technique, we estimate the GoTLIR d...

In this paper, we proposed a new distribution named Gompertz Inverse Weibull (GoIW) by using the Gompertz generalized family of distributions. The study extensively examined the significant properties of the GoIW distribution and utilized the maximum likelihood estimation technique to estimate its model parameters. A real data on rainfall was used...

The probability distribution is an important aspect of probability theory because of its vast relevance in almost all human disciplines. Its applicability in finance, medicine, agriculture, actuarial science, demography, and econometrics, to mention but a few, is highly commendable. The use of probability distributions to model real-life data is an...

In this paper, the [0,1] truncated Nadarajah Haghighi-G family is introduced, and some of its statistical properties such as expansion of its PDF are derived. In addition, quantile function, survival function, hazard rate function, reversed hazard rate function, cumulative hazard rate function, odd functions, r th moments, incomplete moments, momen...

The Gompertz Topp Leone Inverse Weibull distribution GoTLIW distribution, which has four parameters, is a novel distribution that we introduce in this article. Inverse Weibull (IW) distributions with various parameter values can be combined to form the new distribution. The moments, moment generating function, quantile function, the R'enyi entropy...

This work introduces a number of methods for estimating the parameters of the [0,1] Truncated Nadarajah-Haghighi exponential distribution. The percentile method, Cramer von Misses, maximum likelihood, ordinary least square, weighted least square, maximum product spaces, and Anderson darling are a few of these methods. Also, we find the quantile fun...

In this work, we introduce a new model Kumaraswamy Burr-Type X (Kum-BX) from the so-called Kumaraswamy-G family of distributions. Kum-BX serves as an alternative to the Kumaraswamy-Weibull model, which is very flexible distribution that has increasing, decreasing, and bathtub shapes in the hazard function. Several properties of this new model were...

Al-Shomrani et al. (2016) introduced a new family of distributions (TL-G) based on the Topp-Leone distribution (TL) by replacing the variable x by any cumulative distribution function G(t). With only one extra parameter which controls the skewness, this family is a good competitor to several generalized distributions used in statistical analysis. I...

We introduce a new flexible four-parameter distribution called [0,1]Truncated Exponentiated Exponential Gompertz distribution ([0,1] TEE-Go). Several basic statistical properties of the [0,1] TEE-Go distribution have been studied. The parameters of the proposed [0,1] TEE-Go model were obtained at maximum Probability method. Two real data were adopt...

The quest for developing more efficient and flexible probability models remain strong in the field of probability theory and statistics.In this research, a continuous probability modelnamed the Truncated Exponential Marshall Olkin Gamma (TEMO-Ga) distribution was developed using the Truncated Exponential Marshall Olkin-G family of distributions. Th...

Background Effective strategies for managing coronavirus disease 19 (COVID-19) patients suffering from acute respiratory distress are constantly evolving. The timeline and threshold for transitioning from non-invasive ventilation to intermittent mandatory ventilation in critical cases who develop COVID-19-related respiratory distress are undetermin...

A new one-parameter model for unit-interval datasets is introduced. The proposed distribution is termed "Unit Xgamma distribution." Some mathematical properties of the new distribution are derived. We also characterize it using truncated moments and a hazard function. Maximum likelihood, least-squares, weighted least-squares, Anderson-Darling, Cram...

A new probability model for positively skewed datasets like economic data, medical, engineering and other sciences was developed in this paper. The new distribution is named the Marshall Olkin Topp Leon Exponential distribution and it was generated using the Marshall Olkin Topp Leon-G family of distributions. It has three parameters and it is very...

In this paper, we introduce a new 2-parameters family of distributions named [0,1] Truncated Inverse Weibull-G family ([0,1] TIW-G) family, to generate new types of continues distributions. A special model namely, [0,1] Truncated Inverse Weibull Rayleigh distribution ([0,1] TIWR) distribution is considered and defined and some of the statistical pr...

A new probability model for positively skewed datasets like economic data, medical, engineering and other sciences was developed in this paper. The new distribution is named the Topp-Leone Flexible Weibull distribution and it was generated using the Topp-Leone-G family of distributions. This new distribution has three parameters and it is very flex...

The generalization of distributions is an important topic in probability theory. Several distributions, whether symmetrical, semi-symmetrical or heavily skewed, are unsuitable for modelling modern data. In this paper, the Rayleigh Gompertz distribution as a new compound flexible distribution is introduced. Several important statistical properties o...

In probability theory generalizing distribution is an important area. Several distributions are inappropriate for data modeling, either symmetrical, semi-symmetrical, or heavily skewed. In this paper, a new compound distribution with four parameters called Marshall Olkin Marshall Olkin Weibull (MOMOWe) is introduced. Several important statistical p...

Weibull distribution is one of the most widely applied statistical distributions in various fields, especially in reliability and lifetime analysis. It has monotonically increasing, monotonically decreasing, and constant hazard rate; these however, partly limits its applications. This limitation undoubtedly inspired researchers to develop generaliz...

We introduce a new lifetime distribution referred to alpha power transformed exponentiated Lomax (APTEL) distribution. It includes new models as; the alpha power transformed exponentiated Pareto, alpha power transformed Pareto and alpha power transformed Lomax. Also, it includes former distributions as exponentiated Lomax, exponentiated Pareto, Par...

In this paper, a weighted version of the power Lomax distribution referred to the weighted power Lomax distribution is introduced. The new distribution comprises the length biased and the area biased of the power Lomax distribution as new models as well as contains an existing model as the length biased Lomax distribution as special model. Essentia...

The Transmuted Topp Leone Flexible Weibull distribution was developed in this paper using the Transmuted Topp Leone family of distributions and its basic statistical properties were established. Estimation of model parameters was considered using the maximum likelihood estimation (MLE) method and three real life applications were provided. The TTLF...

In this paper, a new hybridization of supervised principal component analysis (SPCA) and stochastic gradient descent techniques is proposed, and called as SGD-SPCA, for real large datasets that have a small number of samples in high dimensional space. SGD-SPCA is proposed to become an important tool that can be used to diagnose and treat cancer acc...

In this research we suggest a new compound distribution called [0,1]Truncated Exponential Marshall Olkin Rayleigh (TEMO-R). This distribution has three parameters therefore it has very flexibility for fitting many different types of data. This distribution gives different shapes such as shape symmetrical, right-skewed. The probability density funct...

In this research we suggest a new compound distribution called [0,1]Truncated Exponential Marshall Olkin Rayleigh (TEMO-R). This distribution has three parameters therefore it has very flexibility for fitting many different types of data. This distribution gives different shapes such as shape symmetrical, right-skewed. The probability density funct...

The aim of this paper is to propose a new flexible compound distribution named Marshal Olkin Marshal Olkin Gompertz (MOMOGo) distribution. Reliability characteristics besides several statistical properties of the proposed distribution have discussed. The maximum likelihood method, under a complete sample, is used to estimate the distribution parame...

A new version of the Exponentiated Burr X (EBX) distribution was introduced and studied in this paper. The method of Nadarajah and Kotz (2006) that was based on Gupta et al., (1998) proposition was used. Mathematical and statistical properties of the EBX distribution such as the limit behaviour, quantile function, moments, moment generating functio...

Developing compound probability distributions is very important in the field of probability and statistics because there are different datasets from different fields with different features. These features range from high skewness, peakedness (kurtosis), bimodality, highly dispersed, and so on. Existing distributions might not easily fit well to th...

A new version of the Exponentiated Burr X (EBX) distribution was introduced and studied in this paper. The method of Nadarajah and Kotz (2006) that was based on Gupta et al., (1998) proposition was used. Mathematical and statistical properties of the EBX distribution such as the limit behaviour, quantile function, moments, moment generating functio...

In this paper, a new compound distribution termed as [0,1]Truncated Exponential Marshall-Olkin-Gompertz (TEMO-Go)is introduced. Several essential statistical properties of TEMO-Go distribution were studied. The estimation of distribution parameters was performed using the maximum likelihood estimation method, the flexibility of the new distribution...

This paper concerned with studding a stability conditions of the proposed non-linear autoregressive time series model Known as Pareto Autoregressive model, acronym is defined by Pareto . A dynamical method Known as local linearization approximation method was used to obtain the stability condition of a non-zero singular point of Pareto model. In ad...

In this paper, a new compound distribution termed as [0,1]Truncated Exponential Marshall-Olkin-Gompertz (TEMO-Go)is introduced. Several essential statistical properties of TEMO-Go distribution were studied. The estimation of distribution parameters was performed using the maximum likelihood estimation method, the flexibility of the new distribution...

In this study, a new four-parameter, called the transmuted Topp-Leone power function (TTLPF) distribution is proposed based on the transmuted Topp-Leone-G family. We derive moments, incomplete moments, probability weighted moments, quantile function, Bonferroni and Lorenz curves, and order statistics. The maximum likelihood and percentiles procedur...

In this paper we propose a new continuous distribution called Probability Distribution (Marshall Olkin Exponential Generalized-Whipple) derived from the structure of the Marshall Olken Family and generalized exponential distribution with the inclusion of Whipple distribution in the resulting formula from the combination of the two methods. Study th...

قدمنا في هذا البحث توزيع مارشال اولكن توب ليون ويبل المرن وهو توسيع لتوزيع ويبل المرن. العديد من الخصائص االحصائية تم دراستها بما في ذلك الدالة الكمية والعزوم والدالة المولدة للعزوم واالحصاءات المرتبة. باإلضافة الى ذلك تم تقدير معالم التوزيع الجديد باستخدام طريقة االمكان االعظم. طبقت محاكاة لدراسة سلوك معالم التوزيع الجديد. وألثبات مطابقة ومرونة...

In this paper, an endeavor has been made to fit three distributions Marshall–Olkin with exponential distributions, Marshall–Olkin with exponentiated exponential distributions and Marshall–Olkin with exponentiated extension distribution keeping in mind the end goal to actualize Bayesian techniques to examine visualization of prognosis of women with...

In our world, the natural behavior of the consumption of drugs containing narcotic drugs isn't a big problem. But, the deviation of human behavior in dealing with this phenomenon, will generate significant side problems that rise to the level of crisis, especially when certain age groups are taking drugs narcotic, and do not know the seriousness of...

This paper introduced a family of distributions which is flexible and capable of yielding more robust compound probability models when used in modeling real life events. General statistical properties of the family; Marshall-Olkin Topp Leone-G family of distributions were adequately provided. For illustration purpose, the Marshall-Olkin Topp Leone...

The few standard probability distributions available are insufficient for modelling naturally occurring events. Most especially, normal distribution is not ideal for modelling asymmetrical data. Generalizing a new distribution is an important area in probability theory. It is known that we can improve the performance of the distributions by adding...

We propose the generalizations of Burr Type X distribution with two parameters by using the methods of Beta-G, Gamma-G and Weibull-G families of distributions. We discuss maximum likelihood estimation of the model’s parameters. The performances of the parameter’s estimates are assessed via simulation studies under different sets of conditions. In t...

Generalizing distribution is an important area in probability theory. Many distributions are not suitable for modeling data, that are either symmetric or heavily skewed. In this paper, a new compound distribution termed as Marshall Olkin Exponential Gompertz (MOEGo) is introduced. Several essential statistical properties of MOEGo distribution were...

This paper introduces the Gompertz exible Weibull distribution as an extension of the exible Weibull distribution. Its various statistical properties are obtained and established while the method of maximum likelihood estimation is used in estimating the unknown model parameters. The application of Gompertz exible Weibull distribution is illustrate...

The Lomax distribution was extended in this paper using the Topp–Leone family of distributions. Some of its specific structural properties were established and the model parameters were estimated using maximum likelihood estimation method. The usefulness of the Topp–Leone Lomax distribution was demonstrated using an airbone communication transceive...

The current paper modified method of conjugate gradient for solving problems of unconstrained optimization. The modified method convergence is achieved by assuming some hypotheses. The statistical results demonstrate that the modified method is efficient for solving problems of Unconstrained Nonlinear Optimization in comparison with methods FR and...

The current paper modified method of conjugate gradient for solving problems of unconstrained optimization. The modified method convergence is achieved by assuming some hypotheses. The statistical results demonstrate that the modified method is efficient for solving problems of Unconstrained Nonlinear Optimization in comparison with methods FR and...

The Conjugate gradient method used to estimate the parameter of Marshall-Olkin Exponentiated Burr Type X distribution (MOEBX). The proposed distribution MOEBX based on the work by (Marshall-Olkin 1997). Several properties of the MOEBX distribution were investigated and studied such as quantile function, moments, moment generation function and order...

For the first time, the Kumaraswamy Inverse Lomax (KIL) distribution is introduced, and studied. Some of its basic statistical properties were investigated in minute details, including explicit expressions for the survival function, failure rate, reversed hazard, odds ratio, order statistics, moments, quantile and median. The model parameters were...

A new compound distribution called the Marshall-Olkin Inverse Lomax distribution (MO-ILD) was proposed, extending the inverse Lomax distribution by adding a new parameter to the existing distribution, leading to greater flexibility in modeling various data types. Its basic statistical properties were derived and model parameters estimated using the...

Bathtub failure rate shape is widely used in industrial and medical applications. In this paper, a three-parameter lifetime distribution, so-called the generalized Weibull uniform distribution that extends the Weibull distribution, is proposed and studied. This distribution has bathtub-shaped or decreasing failure rate function which enables it to...

This chapter explores the three-parameter Weibull Inverse Exponential distribution. The various and basic structural properties of the distribution are defined and established. Applications to real life datasets were provided and the unknown model parameters were estimated using the maximum likelihood estimation method. The results show that the We...

The health sector considered as one of the most important sectors of the State. It has registered a deficit in the provision of its services in quantity and quality, which led to open the door for investment in this sector. In this sector, the investment should be based on accurate data, in which based on the actual conduct of the auditors for asse...

Compound probability models have played important roles in modeling real life events; their ability to withstand skewed datasets has been attributed to the extra shape parameters they possess. This paper focused on exploring a two-parameter compound distribution; Logistic-X Exponential distribution. The basic mathematical properties of the model we...

In this article, a new distribution called the Exponentiated Kumaraswamy Exponentiated Weibull (EKEW) that extends the exponentiated Weibull distribution is derived and studied. The distribution has six parameters that can be expressed as a mixture of Exponentiated Weibull (EW) distribution. We obtain general explicit expression for the quantile fu...

The Gompertz Inverse Exponential distribution using the Gompertz generalized family of distributions was derived and introduced in this paper. Some basic statistical properties of the model were derived and discussed in minute details. The model parameters were estimated using the maximum likelihood estimation method. Real life applications were pr...

This paper introduces and explores a new compound distribution named the Gompertz Burr Type XII (GOBXII) distribution. Its statistical properties were established where the unknown parameters of the new model were estimated by using the method of MLE (maximum likelihood estimation).