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Compared Methods of Generating Both Gamma Distribution and Beta Distribution
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Beta Distribution

Abstract

             Gamma and Beta Distributions has very important in practice in various areas of statistical and applications reliability and quality control of production. and There are a number of methods to generate data behave on according to these distribution. and These methods bassic primarily on the shape parameters of each distribution and the relationship between these distributions and their relationship with some other probability distributions.         

    This research aims to determine how most efficient method for generating gamma varieties upon the shape parameter α and generating beta varieties upon the two shape parameters α, β.

    The common comparison between the methods of generating random variables computerized rely on the less number of random numbers , as well as the time it takes to generate a single value of a random variable x, regardless of statistical efficiency.

      In this paper  and for the first time,we used the mean square error MSE of the  mean and the varianes of the samples that have been generated for the different sizes of the samples as the statistical comparison.

    As well as a proposal of two methods to generate data distributed according to beta distribution using the least number of random numbers and the highest efficiency.

   We prove by running a number of simulation experiments, programs written by researcher used MATLAB language.

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Publication Date
Tue Jun 01 2010
Journal Name
Journal Of Economics And Administrative Sciences
مقارنة بعض طرائق التعويض الأحادي للبيانات المفقودة لدالة الكثافة الاحتمالية للتوزيع الطبيعي ثنائي المتغيرات
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In this paper we suggest new method to estimate the missing data  in bivariate normal distribution and compare it with Single Imputation  method (Unconditional mean and Conditional mean) by using simulation. 

 

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Publication Date
Tue Sep 01 2009
Journal Name
Journal Of Economics And Administrative Sciences
Comparison of estimation methods for regression model parametersIn the case of the problem of linear multiplicity and abnormal values
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 A simulation study is used to examine the robustness of some estimators on a multiple linear regression model with problems of multicollinearity and non-normal errors, the Ordinary least Squares (LS) ,Ridge Regression, Ridge Least Absolute Value (RLAV), Weighted Ridge (WRID), MM and a robust ridge regression estimator MM estimator, which denoted as RMM this is the modification of the Ridge regression by incorporating robust MM estimator . finialy, we show that RMM is the best among the other estimators

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Publication Date
Wed Dec 13 2017
Journal Name
Al-khwarizmi Engineering Journal
Enhancing the Compressive Strength and Density of Cement Mortar by the Addition of Different Alignments of Glass Fibers and Styrene Butadiene Rubber
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Abstract

In the field of construction materials the glass reinforced mortar and Styrene Butadiene mortar are modern composite materials. This study experimentally investigated the effect of addition of randomly dispersed glass fibers and layered glass fibers on density and compressive strength of mortar with and without the presence of Styrene Butadiene Rubber (SBR). Mixtures of 1:2 cement/sand ratio and 0.5 water/cement ratio were prepared for making mortar. The glass fibers were added by two manners, layers and random with weight percentages of (0.54, 0.76, 1.1 and 1.42). The specimens were divided into two series: glass-fiber reinforced mortar without SBR and glass-fiber reinforced mortar with 7% SBR of mixture water. All s

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Publication Date
Sun Jun 20 2021
Journal Name
Baghdad Science Journal
Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)
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In this study, the stress-strength model R = P(Y < X < Z)  is discussed as an important parts of reliability system by assuming that the random variables follow Invers Rayleigh Distribution. Some traditional estimation methods are used    to estimate the parameters  namely; Maximum Likelihood, Moment method, and Uniformly Minimum Variance Unbiased estimator and Shrinkage estimator using three types of shrinkage weight factors. As well as, Monte Carlo simulation are used to compare the estimation methods based on mean squared error criteria.  

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Publication Date
Fri Nov 15 2024
Journal Name
Iraqi Journal Of Science
Study of the Spectral Energy Distribution Model of the Protoplanetary Disk Geometric around the Brown Dwarf CFHT-BD-Tau 4
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The accretion circumstellar disk of young stars and the Brown dwarf plays an essential role in the formation and evaluation of the planet. Our main work in this paper is to investigate the geometrical shape model for the protoplanetary disk around one of the Brown Dwarfs. The photometric measurements for the brown dwarf CFHT-BD-Tau 4 were extracted from the Vizier archive. We used a numerical simulation to build a model of the spectral energy distribution of our target CFHT-BD-Tau 4. The spectral energy distribution model was fitted with observational data for the brown dwarf CFHT-BD-Tau 4. A transitional disk has been assumed around CFHT-BD-Tau 4. We obtained physical properties of the two disks and the size of the gap between them

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Publication Date
Sat Mar 01 2025
Journal Name
Microbial Biosystems
Distribution of cytotoxic necrotizing factor type 1 in clinical isolates of Escherichia coli isolated from urinary tract infections in Iraq
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Uropathogenic Escherichia coli is the main cause of urinary tract infections, the ability of this bacteria to cause urinary tract infections is related to a variety of virulence factors that enhance colonization and evade the immune response, one of these virulence factors is cytotoxic necrotizing factor 1 toxin which converts the glutamine residue to glutamic acid to activated GTPase Rho family. The study was meant to find out the prevalence rate of the cnf1 gene in Uropathogenic Escherichia coli isolated from Iraqi patients. Conventional laboratory methods were used for primary bacterial identification and molecular methods were used to confirm bacterial identity and gene detection. Escherichia coli was identified in 89/165 (53.93%) of th

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Publication Date
Wed Aug 07 2019
Journal Name
Iraqi National Journal Of Nursing Specialties
Effect of Non-Pharmacological Pain Management Methods on Reduction the Duration of Labor Stages in Primigravida Women at AL-Elwyia Maternity Teaching Hospital
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Objectives: To evaluate the effect of non-pharmacological pain relief methods on duration of labor stage.
Methodology: A quasi-experimental study design was conducted during the period of (4th July 2018 through 24th October 2018) on non-probability of (60) women (30) of them were a control group and (30) were the study group whom admitted to Al-Elwyia Maternity Teaching Hospital suffering from labor pain. A questionnaire was used as a tool of data collection Descriptive& Inferential statistical analyses were used to analyze the data.
Result: The highest percentages of study and control groups were in age group (< 20) years old, primary schools graduates, housewife, from "urban area", within low category of socioeconomic scal

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Publication Date
Thu Jan 30 2020
Journal Name
Al-kindy College Medical Journal
The Impact of Prophylactic Dexamethasone, Metoclopramide or both on Nausea and Vomiting After Laparoscopic Cholecystectomy
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Background: Postoperative nausea and vomiting (PONV) are one of the most common complaints following laparoscopic cholecystectomy.

Objective: This study was designed to compare the effects of dexamethasone, metoclopramide, and their combination on preventing PONV in patients undergoing laparoscopic cholecystectomy.

Methods: A total of 135 patients enrolled in the study. American Society of Anesthesiologists (ASA) physical status I and II patients were included in this randomized, double blind, placebo-controlled study. Patients were randomly assigned to group A administered 8mg iv dexamethasone, group B received metoclopramide 10 mg, group C received combination of 8mg de

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Publication Date
Wed Feb 01 2023
Journal Name
Journal Of Engineering
Checking the Accuracy of Selected Formulae for both Clear Water and Live Bed Bridge Scour
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Due to severe scouring, many bridges failed worldwide. Therefore, the safety of the existing bridge (after contrition) mainly depends on the continuous monitoring of local scour at the substructure. However, the bridge's safety before construction mainly depends on the consideration of local scour estimation at the bridge substructure. Estimating the local scour at the bridge piers is usually done using the available formulae. Almost all the formulae used in estimating local scour at the bridge piers were derived from laboratory data. It is essential to test the performance of proposed local scour formulae using field data. In this study, the performance of selected bridge scours estimation formulae was validated and sta

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Publication Date
Wed May 10 2017
Journal Name
Journal Of The College Of Languages (jcl)
Difficulties of Rendering Both “Imra’a” امرأة and “Zawj” زوج in the Glorious Qur’an into English
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Women are considered important characters and subjects of discussion in the Glorious  Qur’an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur’an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra’a” امراة and “zawj” زوج occur in the Glorious Qur’an with different meanings depending on the context where they occur.

     Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its

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