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On Inference of Finite Mixture of Rayleigh Distribution by Gibbs Sampler and Metropolis-Hastings

Inferential methods of statistical distributions have reached a high level of interest in recent years. However, in real life, data can follow more than one distribution, and then mixture models must be fitted to such data. One of which is a finite mixture of Rayleigh distribution that is widely used in modelling lifetime data in many fields, such as medicine, agriculture and engineering. In this paper, we proposed a new Bayesian frameworks by assuming conjugate priors for the square of the component parameters. We used this prior distribution in the classical Bayesian, Metropolis-hasting (MH) and Gibbs sampler methods. The performance of these techniques were assessed by conducting data which was generated from two and three-component mixture of the Rayleigh distribution according to several scenarios and comparing the results of the scenarios by calculating the mean of classification successful rate (MCSR) and the mean of mean square error(MMSE). The results showed that Gibbs sampler algorithm yields a better computation results than the others in terms of MMSE and MCSR.

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Publication Date
Sun Dec 01 2013
Journal Name
Baghdad Science Journal
Linear Increasing in Radial Electronic Density Distribution for K and L Shells throughout Some Be-Like Ions

Maximum values of one particle radial electronic density distribution has been calculated by using Hartree-Fock (HF)wave function with data published by[A. Sarsa et al. Atomic Data and Nuclear Data Tables 88 (2004) 163–202] for K and L shells for some Be-like ions. The Results confirm that there is a linear behavior restricted the increasing of maximum points of one particle radial electronic density distribution for K and L shells throughout some Be-like ions. This linear behavior can be described by using the nth term formula of arithmetic sequence, that can be used to calculate the maximum radial electronic density distribution for any ion within Be like ions for Z<20.

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Publication Date
Thu Jun 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
Proposed Entropy Loss function and application to find Bayesian estimator for Exponential distribution parameter

The aim of this paper to find Bayes estimator under new loss function assemble between symmetric and asymmetric loss functions, namely, proposed entropy loss function, where this function that merge between entropy loss function and the squared Log error Loss function, which is quite asymmetric in nature. then comparison a the Bayes estimators of exponential distribution under the proposed function, whoever, loss functions ingredient for the proposed function the using a standard mean square error (MSE) and Bias quantity (Mbias), where the generation of the random data using the simulation for estimate exponential distribution parameters different sample sizes (n=10,50,100) and (N=1000), taking initial

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Publication Date
Sat Jul 15 2023
Journal Name
Journal Of Aridland Agriculture
Estimating the infection severity and infection percentage by aphids on eggplant varieties

Finding a new source of resistance is important to reduce the use of synthetic pesticides, which can meet the global need of suppressing pollution. In this study, the resistance of eight eggplant cultivars to Aphis gossypii was evaluated. Results of the current study highlighted that the cultivar Long-Green has a very strong resistance after 14 days post infestation whereas Pearl-Round and White-Casper cultivars were susceptible. The rest of the tested cultivars (Green-oblong, Purple-panter, Paris, Ashbilia, and Barcelona) had mild resistance. Also, the study found significant differences between the infested and non-infested plants among the tested cultivars in the plant’s height, fresh-, and dry-weight. The susceptible cultivars

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Publication Date
Wed Nov 02 2016
Journal Name
World Journal Of Pharmaceutical Research
HISTOGENESIS AND HISTOMORPHOMETRIC STUDY ON KIDNEY DISORDER BY LAMOTRIGINE IN POSTNATAL RAT

Background: Lamotrigine is a second generation Anti-epileptic drug; it is widely used for the treatment of epilepsy and bipolar disorder. Sufficient data is not available concerning its teratogenicity. Aim of the study: The study has been carried out to evaluate the effect of lamotrigine on Rat kidney development. Materials and Methods: The study was conducted on 10 pregnant Albino Rats (Rattus rattus) divided equally into two groups, control and experiment groups. Experiment group received lamotrigne 10mg/kg/day orally using naso-gastric tube from the first day of gestation until the first week after birth, while the control group received distilled water. Newborn kidneys were collected at day 7 postnatal and fixated in bouin’s solution,

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Publication Date
Fri Dec 01 2017
Journal Name
Ocean Engineering
Stresses and pore water pressure induced by machine foundation on saturated sand

In this study, the response and behavior of machine foundations resting on dry and saturated sand was investigated experimentally. In order to investigate the response of soil and footing to steady state dynamic loading, a physical model was manufactured. The manufactured physical model could be used to simulate steady state harmonic load at different operating frequencies. Total of (84) physical models were performed. The parameters that were taken into considerations include loading frequency, size of footing and different soil conditions. The footing parameters were related to the size of the rectangular footing and depth of embedment. Two sizes of rectangular steel model footing were used (100 200 12.5 mm) and (200 400 5.0 mm).

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Publication Date
Thu Mar 30 2006
Journal Name
College Of Islamic Sciences
Grammarians’ opinions on stopping and tilting in Al-Kanz by Al-Wasiti

Praise be to God, and may blessings and peace be upon our master and Prophet Muhammad and those who follow him, and may God be pleased with him

Taha is my guardian and whoever follows their path until the Day of Judgment. And after... The book (The Treasure in the Ten Recitations), written by Abu Muhammad Abdullah bin Abd al-Wasiti, who died in the year 710 AH, is considered one of the important books in recitations: because it included the universal custom that it contained in the books Al-Taysir by Al-Dani and Al-Irshad by Al-Falanisi, as the first of them was specialized.

Satisfy the second with the ten readings

May God bless my time, through His grace and generosity, to achieve this treasure and to publish it

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Publication Date
Wed Mar 18 2020
Journal Name
Baghdad Science Journal
On Light Mapping and Certain Concepts by Using m_X N-Open Sets

The aim of this paper is to present a weak form of -light functions by using -open set which is -light function, and to offer new concepts of disconnected spaces and totally disconnected spaces. The relation between them have been studied. Also, a new form of -totally disconnected and inversely -totally disconnected function have been defined, some examples and facts was submitted.

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Bayesian Estimation for Two Parameters of Gamma Distribution under Generalized Weighted Loss Function

This 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).

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Publication Date
Wed Jan 01 2020
Journal Name
Journal Of Southwest Jiaotong University
A Recognition System for Subjects' Signature Using the Spatial Distribution of Signature Body

This investigation proposed an identification system of offline signature by utilizing rotation compensation depending on the features that were saved in the database. The proposed system contains five principle stages, they are: (1) data acquisition, (2) signature data file loading, (3) signature preprocessing, (4) feature extraction, and (5) feature matching. The feature extraction includes determination of the center point coordinates, and the angle for rotation compensation (θ), implementation of rotation compensation, determination of discriminating features and statistical condition. During this work seven essential collections of features are utilized to acquire the characteristics: (i) density (D), (ii) average (A), (iii) s

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Publication Date
Sat Oct 01 2011
Journal Name
Journal Of Engineering
THERMAL BUCKLING OF RECTANGULAR PLATES WITH DIFFERENT TEMPERATURE DISTRIBUTION USING STRAIN ENERGY METHOD

By using governing differential equation and the Rayleigh-Ritz method of minimizing the total potential energy of a thermoelastic structural system of isotropic thermoelastic thin plates, thermal buckling equations were established for rectangular plate with different fixing edge conditions and with different aspect ratio. The strain energy stored in a plate element due to bending, mid-plane thermal force and thermal bending was obtained. Three types of thermal distribution have been considered these are: uniform temperature, linear distribution and non-linear thermal distribution across thickness. It is observed that the buckling strength enhanced considerably by additional clamping of edges. Also, the thermal buckling temperatures and

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