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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 Oct 01 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of the effectiveness of coenzyme Q10 gel in management of patients with chronic periodontitis (I intra group comparison)
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Background: Periodontal pathogens can induce free radicals over-formation and thus may cause collagen and periodontal destruction. Anti-oxidants are used as supplements to counteract the over production of free radicals in periodontal disease, that can reduce of collagen destruction. Coenzyme Q10 serves as an endogenous antioxidant, regenerates other antioxidants, stimulates cell growth, and inhibits cell death. Because it is an antioxidant, coenzyme Q10 has received much research attention associated with periodontal diseases. Perio Q gel may possibly be effective as a topical agent and as an adjunct to scaling& root planing in treatment of gingivitis and chronic periodontitis. Aim of study:Determine the periodontal health status in a foll

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Publication Date
Thu Jan 20 2022
Journal Name
Journal Of Clinical Medicine
Comparison of the Safety and Efficacy of Laser Versus Pneumatic Intracorporeal Lithotripsy for Treatment of Bladder Stones in Children
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This study aimed to compare the safety and efficacy of laser lithotripsy and pneumatic lithotripsy, the two most commonly used transurethral lithotripsy methods for treating bladder stones in children in Iraq. Between January 2013 and December 2016, 64 children with bladder stones were included in this prospective randomized study, after ethical committee approval and written consent from the children’s parents or caregivers were obtained. Patients were assigned randomly by computer software to two groups treated with either pneumatic cystolithotripsy or laser lithotripsy. A 9 Fr. semirigid ureteroscope was used to pass the lithotripter through and fragment the stone. A catheter of 8–12 Fr. was then introduced and kept in place

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Publication Date
Thu Jun 25 2020
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Diuretic Effect of Prosopis farcta in Comparison with Spironolactone and Hydrochlorothiazide in Hypertensive Rats
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Prosopis farcta has been used traditionally for several diseases as cardiovascular, kidney, diabetes, bacterial infection and it has diuretic activity. This study was designed to evaluate the diuretic effects of P. farcta extract in comparison with spironolactone and hydrochlorothiazide in normal and hypertensive rats.Forty eight rats, were divided into Two groups. The First group was consist of Twelve normotensive rats, to represent the control group and normal treated group receiving 50 mg/Kg of P. farcta extract; Six rats in each group.

The Second group involved 36 hypertensive rats, were divided into six subgroups, each of six rats. The First subgroups served as a positive control, the Second, Third

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Publication Date
Thu Feb 02 2012
Journal Name
Wasit Journal For Science And Medicine
Field study for the effect of releasing predator Chrysoperla carnea (Stephens) (Neuroptera:Chrysopidae) in comparison with Deltamethrin in controlling cabbage aphid
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Publication Date
Wed Jun 30 2021
Journal Name
Journal Of Economics And Administrative Sciences
A Comparison between robust methods in canonical correlation by using empirical influence function
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       Canonical correlation analysis is one of the common methods for analyzing data and know the relationship between two sets of variables under study, as it depends on the process of analyzing the variance matrix or the correlation matrix. Researchers resort to the use of many methods to estimate canonical correlation (CC); some are biased for outliers, and others are resistant to those values; in addition, there are standards that check the efficiency of estimation methods.

In our research, we dealt with robust estimation methods that depend on the correlation matrix in the analysis process to obtain a robust canonical correlation coefficient, which is the method of Biwe

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Publication Date
Thu Oct 01 2026
Journal Name
Journal Of Baghdad College Of Dentistry
A Comparison of the Effectiveness of Reciprocating System with Continuous Rotary Systems in Non-Surgical Endodontic Retreatment (An In vitro study)
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Background: Optimal root canal retreatment was required safe and efficient removal of filling material from root canal. The aim of this in vitro study was to compare the efficacy of reciprocating and continuous motion of four retreatment systems in removal of root canal filling material. Materials and Methods: Forty distal roots of the mandibular first molars teeth were used in this study, these roots were embedded in cold clear acrylic,roots were instrumented using crown down technique and rotary ProTaper systemize Sx to size F2 ,instrumentation were done with copiousirrigation of 2.5% sodium hypochlorite and 17% buffered solution of EDTA was used as final irrigant followed by distilledwater, roots were obturated with AH26 sealer and Prota

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Publication Date
Tue Mar 01 2016
Journal Name
Journal Of Baghdad College Of Dentistry
A Comparison of the Effectiveness of Reciprocating System with Continuous Rotary Systems in Non-Surgical Endodontic Retreatment (An In vitro study)
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Background: Optimal root canal retreatment was required safe and efficient removal of filling material from root canal. The aim of this in vitro study was to compare the efficacy of reciprocating and continuous motion of four retreatment systems in removal of root canal filling material. Materials and Methods: Forty distal roots of the mandibular first molars teeth were used in this study, these roots were embedded in cold clear acrylic,roots were instrumented using crown down technique and rotary ProTaper systemize Sx to size F2 ,instrumentation were done with copiousirrigation of 2.5% sodium hypochlorite and 17% buffered solution of EDTA was used as final irrigant followed by distilledwater, roots were obturated with AH26 sealer and Prota

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Publication Date
Wed Mar 30 2016
Journal Name
College Of Islamic Sciences
The provisions of taking the mother's fare breastfeeding comparative jurisprudential study
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This study aimed to clarify the provisions of taking the mother for breastfeeding in Islamic jurisprudence, a comparative study between doctrines of jurisprudence. The ruling on forcing the mother to breastfeed, and the ruling on taking the mother for breastfeeding while she is in the infallibility of her husband, as well as in several reactionary divorces, and the ruling on breastfeeding in several divorced divorces. On breastfeeding in infallibility Face, as well as a several divorce reactionary, and worth the fare which is in several final divorces, and after the end of the marital relationship, has been proposed a number of recommendations, including it, is recommended to teach the provisions of the mother taking the taxi on breastfe

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Publication Date
Wed Jan 01 2014
Journal Name
Journal Of The College Of Languages (jcl)
Lecture comparative dans la poésie de Prévert et d’al-Sayyab Towards a Comparative Reading in Prévert and Al-Sayyab’s Poetry
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Comparative literature is one of the important research topics in finding new relations and results that other types of studies do not allow.

The present research is a comparative study between two contemporary poets : Al-Sayyab and Prévert. The reason for accomplishing this research is Al-Sayyab’s reading for the western literature. Moreover, the study sheds a light on translational criticism.

It tackles the lives of the two writers and their points of similarities and differences. Prévert and Al-Sayyab’s are two modern poets. The first employed his daily routines to express reality, specially the events of the two world wars. The second’s pain, on the other hand, was the starting point to express others’ suffe

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Publication Date
Mon Dec 01 2014
Journal Name
Journal Of Economics And Administrative Sciences
A comparative study of stylistic kriging and Co - kriging Multivariate on the barley crop in Iraq
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  This paper deals  the prediction of the process of  random spatial data of two properties, the first is called  Primary variables  and the second is called secondary  variables ,   the method  that were used in the  prediction process for this type  of data is technique Co-kriging  , the method is usually used when the number of primary variables  meant to predict for one of its elements is measured in a particular location a few (because of the cost or difficulty of obtaining them) compare with secondary variable which is the number of elements  are available and  highly correlated with primary variables, as was the&nbs

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