This paper aims to decide the best parameter estimation methods for the parameters of the Gumbel type-I distribution under the type-II censorship scheme. For this purpose, classical and Bayesian parameter estimation procedures are considered. The maximum likelihood estimators are used for the classical parameter estimation procedure. The asymptotic distributions of these estimators are also derived. It is not possible to obtain explicit solutions of Bayesian estimators. Therefore, Markov Chain Monte Carlo, and Lindley techniques are taken into account to estimate the unknown parameters. In Bayesian analysis, it is very important to determine an appropriate combination of a prior distribution and a loss function. Therefore, two different

In this paper, we used maximum likelihood method and the Bayesian method to estimate the shape parameter (θ), and reliability function (R(t)) of the Kumaraswamy distribution with two parameters l , θ (under assuming the exponential distribution, Chi-squared distribution and Erlang-2 type distribution as prior distributions), in addition to that we used method of moments for estimating the parameters of the prior distributions. Bayes

In this paper, we derived an estimators and parameters of Reliability and Hazard function of new mix distribution ( Rayleigh- Logarithmic) with two parameters and increasing failure rate using Bayes Method with Square Error Loss function and Jeffery and conditional probability random variable of observation. The main objective of this study is to find the efficiency of the derived of Bayesian estimator compared to the to the Maximum Likelihood of this function using Simulation technique by Monte Carlo method under different Rayleigh- Logarithmic parameter and sample sizes. The consequences have shown that Bayes estimator has been more efficient than the maximum likelihood estimator in all sample sizes with application

Transforming the common normal distribution through the generated Kummer Beta model to the Kummer Beta Generalized Normal Distribution (KBGND) had been achieved. Then, estimating the distribution parameters and hazard function using the MLE method, and improving these estimations by employing the genetic algorithm. Simulation is used by assuming a number of models and different sample sizes. The main finding was that the common maximum likelihood (MLE) method is the best in estimating the parameters of the Kummer Beta Generalized Normal Distribution (KBGND) compared to the common maximum likelihood according to Mean Squares Error (MSE) and Mean squares Error Integral (IMSE) criteria in estimating the hazard function. While the pr

In this study, we used Bayesian method to estimate scale parameter for the normal distribution. By considering three different prior distributions such as the square root inverted gamma (SRIG) distribution and the non-informative prior distribution and the natural conjugate family of priors. The Bayesian estimation based on squared error loss function, and compared it with the classical estimation methods to estimate the scale parameter for the normal distribution, such as the maximum likelihood estimation and th

Examining the pictures of the scientific miracles in Surat Al-Ra’d revealed to us - as all other verses of miracles revealed - the truth of the prophecy of our noble Messenger (may God bless him and his family and grant him peace) in receiving the verses of the Qur’an from God Almighty through revelation. It is not possible to talk about cosmic phenomena and their secrets in this way. Fourteen centuries ago, when scientific techniques, observational devices, space surveys, and means of science were non-existent, except for what is related to eye observation, transmitted experiences, and even observation is unable to explain many phenomena near as well as distant ones. The interpretations that are tainted by myth in the books

research aims: 1- Demonstrating an aspect of the rhetorical miracle of the Qur’an represented in the accuracy of its verses and the consistency of its topics. 2- Clarifying the intent of Surat Al-Ghashiya, and clarifying the link between the topics of the surah and its purpose. 3- Studying the topics included in Surat Al-Gashiya, and highlighting their consistency among them. 4- Referring to the gifts contained in the noble verses.Research Methodology: In preparing this study, I followed the inductive-analytical approach, according to the procedures outlined in the introduction.From the search results: 1- The purpose of Surat Al-Gashiya: Reminding the Hereafter and its scenes of reward