Abstract

       The grey system model GM(1,1) is the model of the prediction of the time series and the basis of the grey theory. This research presents the methods for estimating parameters of the grey model GM(1,1) is the accumulative method (ACC), the exponential method (EXP), modified exponential method (Mod EXP) and the Particle Swarm Optimization method (PSO). These methods were compared based on the Mean square error (MSE) and the Mean Absolute percentage error (MAPE) as a basis comparator and the simulation method was adopted for the best of the four methods, The best method was obtained and then applied to real data. This data represents the consumption rate of two types of oils a he

This research aims to study the methods of reduction of dimensions that overcome the problem curse of dimensionality when traditional methods fail to provide a good estimation of the parameters So this problem must be dealt with directly . Two methods were used to solve the problem of high dimensional data, The first method is the non-classical method Slice inverse regression ( SIR ) method and the proposed weight standard Sir (WSIR) method and principal components (PCA) which is the general method used in reducing dimensions,    (SIR ) and (PCA) is based on the work of linear combinations of a subset of the original explanatory variables, which may suffer from the problem of heterogeneity and the problem of linear

               In this research, the semiparametric Bayesian method is compared with the classical  method to  estimate reliability function of three  systems :  k-out of-n system, series system, and parallel system. Each system consists of three components, the first one represents the composite parametric in which failure times distributed as exponential, whereas the second and the third components are nonparametric ones in which reliability estimations depend on Kernel method using two methods to estimate bandwidth parameter h method and Kaplan-Meier method. To indicate a better method for system reliability function estimation, it has be

In this study, we made a comparison between LASSO & SCAD methods, which are two special methods for dealing with models in partial quantile regression. (Nadaraya & Watson Kernel) was used to estimate the non-parametric part ;in addition, the rule of thumb method was used to estimate the smoothing bandwidth (h). Penalty methods proved to be efficient in estimating the regression coefficients, but the SCAD method according to the mean squared error criterion (MSE) was the best after estimating the missing data using the mean imputation method

تضمنت مقدمة البحث الحديث عن التدريس وعمليات اكتساب المعلومات والقدرات والمهارات وتطويرها و من اهم مهام  طرائق التدريس واحدة من اساسيات العمليات التطبيقية  للدروس والتي شهدت تطورا كبيرا باستخدام التطبيق العلمي الصحيح وخاصة في عملية التعلم وإجادة المتعلمات لطرائق التدريس يرتبط بالتحصيل المعرفي لديهن ويعد العامل المهم لتحقيق النجاح لتلك الدروس, وبرزت مشكلة البحث من خلال التساؤل ماهي العلاقة بين درجة ال

يعد الهواء من الضروريات لعيش الانسان وكلما كان الهواء نقياً كلما كانت صحة الانسان جيدة، وفي الآونة الاخيرة اصبح الهواء يتأثر بالملوثات وهنالك عدة متغيرات تؤثر في نقاوة الهواء واصبح الهواء يؤثر على صحة الانسان لما يحمله من ملوثات توثر على جسم الانسان وصحته. ولمعرفة مدى تلوث الهواء في كل مناطق الارض تم بناء مؤشر لمعرف تلوث الهواء بالاعتماد على عدة متغيرات يسمى بمعامل تأثير الهواء. ولبيان اكثر المتغيرات تأ

 A simulation study is used to examine the robustness of some estimators on a multiple linear regression model with problems of multicollinearity and non-normal errors, the Ordinary least Squares (LS) ,Ridge Regression, Ridge Least Absolute Value (RLAV), Weighted Ridge (WRID), MM and a robust ridge regression estimator MM estimator, which denoted as RMM this is the modification of the Ridge regression by incorporating robust MM estimator . finialy, we show that RMM is the best among the other estimators

The Log-Logistic distribution is one of the important statistical distributions as it can be applied in many fields and biological experiments and other experiments, and its importance comes from the importance of determining the survival function of those experiments. The research will be summarized in making a comparison between the method of maximum likelihood and the method of least squares and the method of weighted least squares to estimate the parameters and survival function of the log-logistic distribution using the comparison criteria MSE, MAPE, IMSE, and this research was applied to real data for breast cancer patients. The results showed that the method of Maximum likelihood best in the case of estimating the paramete