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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
Thu Aug 29 2024
Journal Name
International Journal Of Sustainable Development And Planning
Exploring the Transformative Effects of GPS and Satellite Imagery on Urban Landscape Perceptions in Baghdad: A Mixed-Methods Analysis
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Publication Date
Sun Sep 29 2019
Journal Name
Iraqi Journal Of Science
The Competition between of invasive Hydrilla verticillata L.f. and native Ceratophyllum demersum L. in monocultures and mixed cultures experimental
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     The present study aims to assess inter-specific competition between Hydrilla verticillata and Ceratophyllum demersum. A competition experiment design has five treatment combinations to terminal shoots of C. demersum only, terminal shoots of H. verticillata only and three different treatment combinations of C. demersum and H. verticillata together. Our results showed parameters growth of C. demersum were decreased of which, total chlorophyll, protein, and biomass while Superoxide dismutase (SOD), and Catalase (CAT) enzymes increase were significantly (p<0.05) compare with control treatment. While H. verticillata were increased total chlorop

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Publication Date
Thu Jul 01 2021
Journal Name
Iraqi Journal Of Science
Toxoplasmosis and Its Potential Role to Change the Levels of C - reactive protein and Vitamin D3 in Atherosclerosis Patients
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Atherosclerosis is a condition of the hardening of a blood vessel via the development of plaques around the artery wall which causes the artery to narrow, leading to severe complications. Toxoplasmosis is an opportunistic parasitic infection that causes pathological complications in immunocompromised patients, which lead to increase the burden on the immune system in these patients. This study aims to assess the incidence rate of toxoplasmosis in atherosclerosis patients and its potential to change C - reactive protein (C-RP) and vitamin D3 levels. Serum samples (150) were tested for the positivity of anti-Toxoplasma IgG and IgM antibodies by means of Enzyme-linked immunosorbent assay (ELISA). In addition, C-RP was assessed in a

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Publication Date
Fri Jun 24 2022
Journal Name
Iraqi Journal Of Science
Petrology, Mineralogy and Diagenesis of the Rus and Jil Formations (l- Eocene) in Najif and Samawa areas, Southern Iraq
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This research deals with study of the Petrology and mineralogy of the Rus and Jil Formations at Najif and Al-Muthanna Governorates, Southern Iraq. The Rus Formation consists mainly of evaporites and subordinate carbonates. The evaporites are characterized by nodular structure (compound wispy, wispy, structureless and mosaic structures) with some laminated structure at the studied sections. Compound wispy to wispy structure are the dominant structures. The Jil Formation consists almost entirely of carbonate. The carbonate rocks are dolomitic limestone and dolomite beds, massive, fossiliferous, cavernous sometime friable and bioturbated in its lower part. The Jil Formation contains evaporites as thin beds, sometimes nodular and contains se

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Publication Date
Sun Jun 05 2016
Journal Name
Baghdad Science Journal
Synergistic Interaction in the adsorbed mixed surfactants film of Sodium Dodecyl Sulfate and Cocamidopropyl Betaine on Liquid – Air Interfacial
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In the present work, the critical micelle concentration (CMC) of the solution of Sodium dodecyl sulfate (SDS) as anionic surfactant, Cocamidopropyl Betaine (CAPB) as amphoteric surfactant, and their mixture have been determined using surface tension and conductivity measurements at a temperature range 293 -323 K. The adsorption and thermodynamic micellization parameters (?G?m, ?G?ads, ?max ,Amin,?cmc ) for individual surfactants was calculated. Rosen model which is focuses on the adsorbed mixed surfactant film at the air/solution interface was used to calculate the interaction parameter ( ?? ) at the interface and the activity coefficients g1 and g2. The results indicate that the CMC of the individual surfactants was affected by

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Publication Date
Tue Mar 20 2018
Journal Name
Day 2 Wed, March 21, 2018
Numerical Approach for the Prediction of Formation and Hydraulic Fracture Properties Considering Elliptical Flow Regime in Tight Gas Reservoirs
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Abstract<p>As tight gas reservoirs (TGRs) become more significant to the future of the gas industry, investigation into the best methods for the evaluation of field performance is critical. While hydraulic fractured well in TRGs are proven to be most viable options for economic recovery of gas, the interpretation of pressure transient or well test data from hydraulic fractured well in TGRs for the accurate estimation of important reservoirs and fracture properties (e.g. fracture length, fracture conductivity, skin and reservoir permeability) is rather very complex and difficult because of the existence of multiple flow profiles/regimes. The flow regimes are complex in TGRs due to the large hydraulic fractures n</p> ... Show More
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Publication Date
Mon Apr 01 2019
Journal Name
Biochem. Cell. Arch
Improvement the surface properties of metal valves used in agriculture engine by using CO<inf>2</inf> laser beam
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Publication Date
Sun Dec 06 2009
Journal Name
Baghdad Science Journal
The influence of He-Ne Laser (632.8 nm) on Candida albicans isolated from complete upper dentures: In vitro study
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The main objective of this study is to determine whether the use of He-Ne Laser (632.8 nm wavelength and power 0.5 mW) is an eligible and effective tool to kill or reduce the cell viability of Candida albicans isolated from complete upper dentures. Twenty one swabs were taken from the complete upper dentures. Only six swabs showed positive cultures for C. albicans. The isolate was divided into two groups, group I was not irradiated (control), and group II was irradiated by He-Ne Laser for different periods (10, 15, 20, and 30) min. After irradiation, the results showed a significant reduction in the viable cell count and colonies diameters especially at exposure periods 10 and 15 min. Although the low power He-Ne Laser was not eradicating t

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Publication Date
Thu Dec 06 2018
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Comparing the Quality of Life among Patients with Relapsing Remitting Multiple Sclerosis in Iraq Using Different Disease Modifying Therapies
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Multiple sclerosis (MS) is a chronic, inflammatory, immune mediated disease of the central nervous system, mostly affecting young adults with mean age of 30 years, twice as high in women compared to men. The etiology of MS is not fully elucidated. MS symptoms are directly related to demyelination and axonal loss, along with other psychological symptoms, can result in functional limitations, disability and reduced quality of life (QoL).  The QoL assessments in patients with a chronic disease may contribute to improving treatment and could even be of prognostic value. The goals  of this study were  to  compare the QoL of  Iraqi patients with relapsing remitting multiple sclerosis (RRMS),using three different diseas

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Publication Date
Sun Mar 07 2010
Journal Name
Baghdad Science Journal
Spectrophotometric determination of metoclopramide hydrochloride in pharmaceutical tablets, by diazotization-coupling method with 1-naphthol as the coupling agent
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Simple, rapid and sensitive spectrophotometric method was proposed for the analysis of metoclopramide hydrochloride (MPH) in pure form as well as in pharmaceutical tablets. The method is based on the diazotization reaction of MPH with sodium nitrite in hydrochloric acid medium to form diazonium salt, which is coupled with 1-naphthol in sodium hydroxide medium to form azo dye, showing absorption maxima at 550 nm. Beer’s law is obeyed in the concentration range of 0.4 – 18 µg mL-1 of MPH with detection limit 0.5448 µg mL-1. The molar absorptivity and Sandell’s sensitivity are 3.4969 × 104 L mol-1 cm-1 and 0.0101 µg cm-2, respectively. The method was successfully applied to the determination of MPH in pharmaceutical tablets with

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