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Generalization of Gamma and Beta Functions with Certain Properties and Statistical Application
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     This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for the new generalized beta function, including, Mellin transform, differential formulas, integral representations, and essential summation relations. Furthermore, crucial statistical application has been realized for the new generalized beta function.  

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Publication Date
Sat Mar 30 2024
Journal Name
Iraqi Journal Of Science
On Certain Subclass of Meromorphic Multivalent Functions Associated with Fractional Calculus Operator
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     In this paper, the class of meromorphic multivalent functions of the form by using fractional differ-integral operators is introduced. We get Coefficients estimates, radii of convexity and star likeness. Also closure theorems and distortion theorem for the class ,  is calculaed.

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Publication Date
Fri Jan 01 2016
Journal Name
International Journal Of Mathematics Trends And Technology (ijmtt)
Some Statistical Properties of the Solutions of a System of two dimensional Integral Equations contains Beta distribution
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Publication Date
Fri Dec 30 2022
Journal Name
Iraqi Journal Of Science
Certain Subclasses of Meromorphic Functions Involving Differential Operator
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          We obtain the coefficient estimates, extreme points, distortion and growth boundaries, radii of starlikeness, convexity, and close-to-convexity, according to the main purpose of this paper.

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Publication Date
Fri Jul 01 2022
Journal Name
Iraqi Journal Of Science
Some Geometric Properties of Analytic Functions Associated with Hypergeometric Functions
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We presented in this paper a new class containing analytic univalent functions defined on unit disk. We obtained many geometric properties , like , coefficient inequality , distortion and growth theorems, convolution property, convex set, arithmetic mean and radius of starlikness and convexity by using Gaussian hypergeometric function for the class

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Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
Assessment of Liver, Thyroid Gland and Growth Hormone Functions in Beta Thalassemia Major
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     Labile plasma iron and tissue iron overload are major complications of thalassemia disease that increase mortality rate. The iron that is exceeding the capacity of transferrin and ferritin is the leading cause of cell oxidation of many organs such as liver, heart, endocrine systems, etc. This study is designed to investigate the status of liver, thyroid gland and the growth hormone in beta thalassemia patients. In a cross-sectional study, 65 samples of beta thalassemia major were taken who were on a regular chelation therapy and blood transfusion and were to be compared with reference values. The results of the study estimated that 98.46% of the cases had high serum ferritin level, 12.3% high ALT, 27.7% high AST, 86.15% high ALP

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Publication Date
Thu Dec 30 2021
Journal Name
Iraqi Journal Of Science
Application of Quasi Subordination Associated with Generalized Sakaguchi Type Functions
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In this article, a new class  of analytic functions which is defined by terms of a quasi-subordination is introduced. The coefficient estimates, including the classical  inequality of functions belonging to this class, are then derived. Also, several special improving results for the associated classes involving the subordination are presented.

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Publication Date
Thu Nov 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
Comparison of Estimates Nonparametric In Multiple Regression Analysis Function (Gamma ,Beta)
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The use of non-parametric models and subsequent estimation methods requires that many of the initial conditions that must be met to represent those models of society under study are appropriate, prompting researchers to look for more flexible models, which are represented by non-parametric models                  

          In this study, the most important and most widespread estimations of the estimation of the nonlinear regression function were investigated using Nadaraya-Watson and Regression Local Ploynomial, which are one of the types of non-linear

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Publication Date
Fri Jan 01 2021
Journal Name
Journal Of Economics And Administrative Sciences
Comparison Between Maximum Likelihood and Bayesian Methods For Estimating The Gamma Regression With Practical Application
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In this paper, we will illustrate a gamma regression model assuming that the dependent variable (Y) is a gamma distribution and that it's mean ( ) is related through a linear predictor with link function which is identity link function g(μ) = μ. It also contains the shape parameter which is not constant and depends on the linear predictor and with link function which is the log link and we will estimate the parameters of gamma regression by using two estimation methods which are The Maximum Likelihood and the Bayesian and a comparison between these methods by using the standard comparison of average squares of error (MSE), where the two methods were applied to real da

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Publication Date
Wed Aug 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
Statistical testing mediation in structural equations models variables with practical application
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In this research was the study of a single method of estimation and testing parameters mediating variables (Mediation) in a specimen structural equations SEM a bootstrap method, for the purpose of application of the integrated survey of the situation Marital data and health mirror Iraqi (I-WISH) for the year 2011 from the Ministry of Planning - device Central Bureau of Statistics, and applied to the appropriate data from the terms of the data to a form of structural equation SEM using factor analysis affirmative (Confirmatory Factor analysis) CFA As a way to see the match variables that make up the model, and after confirming the model matching or suitability are having the effect of variables mediation in the model tested by the

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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
Statistical testing mediation in structural equations models variables with practical application
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Abstract:
       This study is studied one method of estimation and testing parameters mediating variables in a structural equations model SEM is causal steps method, in order to identify and know the variables that have indirect effects by estimating and testing mediation variables parameters by the above way and then applied to Iraq Women Integrated Social and Health Survey (I-WISH) for year 2011 from the Ministry of planning - Central statistical organization to identify if the  variables having the effect of mediation in the model by the step causal methods by using AMOS program V.23, it
was the independent variable X represents a phenomenon studied (cultural case of the

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