The question about the existence of correlation between the parameters A and m of the Paris function is re-examined theoretically for brittle material such as alumina ceramic (Al2O3) with different grain size. Investigation about existence of the exponential function which fit a good approximation to the majority of experimental data of crack velocity versus stress intensity factor diagram. The rate theory of crack growth was applied for data of alumina ceramics samples in region I and making use of the values of the exponential function parameters the crack growth rate theory parameters were estimated.
In the current study, the researchers have been obtained Bayes estimators for the shape and scale parameters of Gamma distribution under the precautionary loss function, assuming the priors, represented by Gamma and Exponential priors for the shape and scale parameters respectively. Moment, Maximum likelihood estimators and Lindley’s approximation have been used effectively in Bayesian estimation.
Based on Monte Carlo simulation method, those estimators are compared depending on the mean squared errors (MSE’s). The results show that, the performance of Bayes estimator under precautionary loss function with Gamma and Exponential priors is better than other estimates in all cases.
The metallicity [Fe/H] for several stars accompanied by Extra-solar planets were calculated and plotted as a function of stars mass (M*). Results showed that masses of Extra-solar planets stars are well correlated with their metallicity .This relation could be explained by the equation: Y=-0.0045x + 0.065. The metallicity limit is found to be in the range of (0.18 to 0.3), relative to the mass limit in the range of (0.76 to 1.44) MSun.
This criteria is a good tool that can be used by observers who are aiming for detecting Extra-solar planets
A number of glow discharge experiments has been carried out in a relatively large-volume metallic vacuum chamber containing argon at low pressure and immersed in an inhomogeneous magnetic field generated by a solenoidal coil capable of delivering 2100G. Two Paschen curves demonstrating the dependence of the discharge voltage on sparking parameter Pd and magnetic field strength B were deduced. A graphical correlation showing the behaviour of the voltage difference from the two curves on the ratio B/Pd was constructed. Investigations showed a reduction in the nominal impedance of the discharge device of nearly 20% when B reaches a value of 525G. Plasma confinement regions were found around the internal surface of the chamber at the entranc
... Show MorePregnancy-induced hypertension (PIH) is a major pregnancy complication that causes pregnant women mortality. Here, we had scrutinized the correlation between serum levels of -hCG and biochemical parameters in PIH. Serum samples were collected from eighty Iraqi women (forty women with pregnancy-induced hypertension as patients group, twenty normotensive pregnant women as a positive control, and twenty normotensive non-pregnant women as a negative control) all groups were diagnosed clinically. All -hCG hormone level was measured for all studied groups, also serum uric acid, albumin, and total protein levels were measured as biochemical parameters. Data analysis showed that serum level of -hCG hormone was significant increase (p≤
... Show MoreDiabetes Mellitus (DM) is a chronic disease distributed worldwide and dominantly related to different types of diseases especially microbial infections, this study aimed to find the relationship between DM mouth microbiome and some demographic factors. Sixty saliva specimens and bacterial oral swabs were collected from randomly selected DM patients, including 29 females and 31 males enrolled in this study, which was obtained from the Al-Mustansiriya University national diabetes center in Baghdad, and other 40 apparently healthy people specimens and swabs were collected from 25 females and 15 males as a control group for the period starting November / 2021 to February / 2022. The results revealed that the most prevalent bacterial gener
... Show MoreThis paper deals with, Bayesian estimation of the parameters of Gamma distribution under Generalized Weighted loss function, based on Gamma and Exponential priors for the shape and scale parameters, respectively. Moment, Maximum likelihood estimators and Lindley’s approximation have been used effectively in Bayesian estimation. Based on Monte Carlo simulation method, those estimators are compared in terms of the mean squared errors (MSE’s).
In this paper, an estimate has been made for parameters and the reliability function for Transmuted power function (TPF) distribution through using some estimation methods as proposed new technique for white, percentile, least square, weighted least square and modification moment methods. A simulation was used to generate random data that follow the (TPF) distribution on three experiments (E1 , E2 , E3) of the real values of the parameters, and with sample size (n=10,25,50 and 100) and iteration samples (N=1000), and taking reliability times (0< t < 0) . Comparisons have been made between the obtained results from the estimators using mean square error (MSE). The results showed the
... Show MoreThis paper deals with, Bayesian estimation of the parameters of Gamma distribution under Generalized Weighted loss function, based on Gamma and Exponential priors for the shape and scale parameters, respectively. Moment, Maximum likelihood estimators and Lindley’s approximation have been used effectively in Bayesian estimation. Based on Monte Carlo simulation method, those estimators are compared in terms of the mean squared errors (MSE’s).
In this paper, suggested formula as well a conventional method for estimating the twoparameters (shape and scale) of the Generalized Rayleigh Distribution was proposed. For different sample sizes (small, medium, and large) and assumed several contrasts for the two parameters a percentile estimator was been used. Mean Square Error was implemented as an indicator of performance and comparisons of the performance have been carried out through data analysis and computer simulation between the suggested formulas versus the studied formula according to the applied indicator. It was observed from the results that the suggested method which was performed for the first time (as far as we know), had highly advantage than t
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