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Comparison Bayes Estimators of Reliability in the Exponential Distribution
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Abstract

           We produced a study in Estimation for Reliability of the Exponential distribution based on the Bayesian approach. These estimates are derived using Bayesian approaches. In the Bayesian approach, the parameter of the Exponential distribution is assumed to be random variable .we derived bayes estimators of reliability under four types when the prior distribution for the scale parameter of the Exponential distribution is: Inverse Chi-square distribution, Inverted Gamma distribution, improper distribution, Non-informative distribution. And estimators for Reliability is obtained using the well known squared error loss function and weighted squared errors loss function. We used simulation technique, to compare the resultant estimators in terms of their mean squared errors (MSE), mean weighted squared errors (MWSE).Several cases  assumed for the parameter of the exponential distribution for data generating, of different samples sizes (small, medium, and large). The results were obtained by using simulation technique, Programs written using MATLAB-R2008a program were used. In general, Simulation results shown that the resultant estimators in terms of their mean squared errors (MSE) is better than the resultant estimators in terms of their mean weighted squared errors (MWSE).According to the our criteria is the best estimator  that gives the smallest value of MSE or  MWSE .  For example bayes estimation is the best when the prior distribution for the scale parameter is improper and Non-informative distributions  according to the smallest  value  of  MSE  comparative to the values of MWSE  for all samples sizes at some of true value of t and . 

 

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Publication Date
Sun Feb 24 2019
Journal Name
Iraqi Journal Of Physics
Synthesis of polyynes by laser ablation of graphite in ethanol
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In this work  Polyynes was synthesized by pulse laser ablation of graphite target in ethanol solution. UV-Visible Spectrophotometer, Fourier Transform Infrared Spectroscopy (FTIR) and Transmission electron microscopy (TEM) were used to study the optical absorption, chemical bonding, particle size and the morphology.  UV absorption peaks coincide with the electronic transitions corresponding to linear hydrogen – capped polyyne (Cn+1H2), the absorption peaks intensity increased when the polyynes were produced at different laser energies and the formation rats of polyynes increased with the increasing of laser pulse number. The FTIR absorption peak at 2368.4 cm-1, 1640.0 cm-1 and 1276.

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Publication Date
Wed Jul 30 2025
Journal Name
Methodsx
New Modifications of ADM with Applications in Kind of PDEs
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This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

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Publication Date
Sun Feb 01 2015
Journal Name
Journal Of Engineering
Non-Linear Analysis of Laminated Composite Plates under General Out-Of-Plane Loading
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The theoretical analysis depends on the Classical Laminated Plate Theory (CLPT) that is based on the Von-K ráman Theory and Kirchhov Hypothesis in the deflection analysis during elastic limit as well as the Hooke's laws of calculation the stresses. New function for boundary condition is used to solve the forth degree of differential equations which depends on variety sources of advanced engineering mathematics. The behavior of composite laminated plates, symmetric and anti-symmetric of cross-ply angle, under out-of-plane loads (uniform distributed loads) with two different boundary conditions are investigated to obtain the central deflection for mid-plane by using the Ritz method. The computer programs is built using Ma

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Publication Date
Sat Jan 02 2021
Journal Name
Journal Of The College Of Languages (jcl)
Logical Semantic and Figurative Modeling of Phraseological Units in Arabic: Логико-Семиотическое И Образное Моделирование Фразеологизмов В Арабском Языке
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The present article is devoted to the analysis of Arabic phraseological units with a component hand, selected by continuous sampling from the “Training Russian-Arabic phraseological dictionary: about 900 phraseological units” by G. L. Permyakov. Arabic phraseological units with a component hand are modeled as invariant situations (by logical-semiotic models) and figurative statements are expressed by phraseological variants (according to the figurative characteristic of the hand component). The artical focuses on the fact that somatism in Arabic phraseology has a symbolic and symbolic nature, marking various situations of Arabs' behavior, their actions, deeds, rituals, emotional and psychological states, etiquette, in

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Publication Date
Sat Mar 30 2019
Journal Name
Journal Of Pure And Applied Microbiology
Antibiotic Resistance of Isolated Gram Negative Bacilli from Different Clinical Sample in a Central Teaching Hospital of Pediatric in Baghdad
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The number of infections caused by microorganisms is increasing significantly over the last few years. A total of 140 patients admitted to the central teaching hospital of pediatrics from the 1st of Jun 2017 to 31 October 2017. The Clinical samples was processed from culture and sensitivity testing. Antibiotic discs used for gram negative isolates. The most prevalent gram negative isolates included Escherichia coli 63 (45.0 %), Pseudomonas spp. 21 (15.0 %), Klebsiella spp. 19 (13.6 %) predominantly. Escherichia coli were the most prevalent isolates from urine 45 (71.4 %), Klebsiella spp. 11 (57.9 %) and Enterobacter spp. 11 (68.8 %) followed by Escherichia coli 10 (15.9 %) predominant from blood. 68 (48.6 %) of specimens were urine, 47 (33.

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Publication Date
Fri Nov 02 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Evaluation of Nursing Knowledge and Practices Concerning Nursing Care of Patient with Skin Traction in Orthopedic Units in Kurdistan Region
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Objective: The study aimed to evaluate knowledge and practices of nursing staff at the orthopedic units
regarding the existing care of patient with skin traction.
Methodology: The sample consists of (40) nurses, (20) of them from Emergency Teaching Hospital in Duhok
and the other (20) of them from Erbil Teaching Hospital in Erbil from 1st Dec. 2004 to the end of June 2005 in
Kurdistan Region.
Two instruments were constructed to evaluate knowledge and practices. Evaluation of knowledge was done by
using of multiple choice questions composed of (25) questions, and evaluation of practice was done by using the
observational check list which consist of four main category (pre skin traction, during skin traction, post skin

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Publication Date
Sun Dec 04 2011
Journal Name
Baghdad Science Journal
Determination of Uranium Concentration in child teeth by track detector CR-39 in same middle and south regions of Iraq
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The study of determing Uranium concentration in samples of teeth is the first of its kind in the Iraq . In this study Uranium concentration has been measured was (32) samples of child teeth distributed on the some of middle and south governorate of Iraq (Muthana – Dekar – Basrah – Najaf – Karbalah – Waset – Babel – Baghdad) . The Uranium concentration in teeth samples has been measured by using fission tracks registration in (CR-39) track detector that caused by the bombardment of (U235) with thermal neutrons falx from (24Am.Be) neutron source that has flux of (5x103n.cm-2S-1). The result obtained show that the Uranium concentrations in governorates were (0.18ppm), (0.172ppm), (0.160ppm), 0.150ppm) (0.89ppm), (0.07ppm) , (0.

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Publication Date
Sat Dec 31 2016
Journal Name
Al-kindy College Medical Journal
Trends of Neonatal Mortality in context of Case Overload in Al - Alwyia Pediatric Teaching Hospital at Baghdad during 2005-2012
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Background: Data on the impact of neonatal and total pediatric admissions volume on neonatal mortality are sparse. Objectives: This study is done to estimate the neonatal mortality in relation to neonatal admissions and to total hospital admissions in Al-Alwyia Pediatric Teaching Hospital through years 2005-2012 Type of the study: A retrospective study.Methods: statistical records of all cases admitted to APTH were studied during 2005-2012.Results: Neonatal mortality decreased to the nadir at last year of study period (2012) and reached 6.1% of neonatal admissions compared to 2005 level which was 9.7 %. Mortality rate among premature and low birth weight (LBW) infants decreased also. The study also reveals that neonatal mortality constit

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Publication Date
Fri Oct 10 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Assessment of serum levels of MMP-8 and hs CRP in chronic periodontitis patients in relation to atherosclerotic cardiovascular disease
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Background: Periodontitis and Atherosclerosis Cardiovascular disease are chronic inflammatory diseases which are highly prevalent. During the last two decades, there has been an increasing interest in the impact of oral health on atherosclerosis and subsequent cardiovascular disease.Aims of the study wereto evaluate the periodontal health status in study groups (Atherosclerotic cardiovascular disease patients with chronic periodontitis and patients having chronic periodontitis),to estimate the serum levels of Matrixmetalloproteinase-8(MMP-8) and high sensitive C-reactive protein(hs CRP) in study and control groups and compare between them. Also,test the correlation between the serum levels of MMP-8 and hs CRP with clinical periodontal par

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Publication Date
Fri Nov 09 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of Directly Observed Therapy Short Course (DOTs) Program Therapy in Treatment of Tuberculosis in Al-Sader City 2003-2005
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Objectives: Assessment outcome of DOTS (Directly observed therapy short course) program in Al-Sader City
Sector that was established by the WHO.
Methodology: Three cohorts groups of patients attending Baghdad TB institute and TB center in Al-Sader city
were followed retrospectively. The 1st cohort included (314) patients registered in year (2003), the 2nd cohort
included (327) patients registered in year (2004), the 3rd cohort included (321) patients registered in year
(2005). The collected data were analyzed for case detection, treatment outcomes, retreatment outcomes,
treatment success, and retreatment success in regard to time, age and sex.
Results: The following rates were extracted for the three cohort: Case det

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