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 heavy fuel (HFO) and diesel fuel (D.O) and the use of tests to confirm the accuracy of the grey model. After obtaining the results, the best method to estimate the parameters of the grey model GM(1,1) is the method of the Particle Swarm Optimization method (PSO) It has been used to treatment the missing values in the data and in the prediction where it has been shown to have the best results
تعد النماذج متعددة المستويات من اهم النماذج الواسعة الاستعمال في تطبيق وتحليل البيانات التي تتصف بكون المشاهدات تتخذ الشكل الهرمي، وفي بحثنا هذا تم تناول انموذج الانحدار اللوجستي الثنائي متعدد المستويات (انموذج حد ثابت عشوائي وميل عشوائي )، هنا تبرز اهمية البحث ان نماذج الانحدار الاعتيادية تقوم بحساب التباين العام للأنموذج وعدم امكانيتها قراءة التباينات والتغيرات بين المستويات لكن في حالة نماذج الانح
... Show MoreEach phenomenon contains several variables. Studying these variables, we find mathematical formula to get the joint distribution and the copula that are a useful and good tool to find the amount of correlation, where the survival function was used to measure the relationship of age with the level of cretonne in the remaining blood of the person. The Spss program was also used to extract the influencing variables from a group of variables using factor analysis and then using the Clayton copula function that is used to find the shared binary distributions using multivariate distributions, where the bivariate distribution was calculated, and then the survival function value was calculated for a sample size (50) drawn from Yarmouk Ho
... Show MoreThe question of estimation took a great interest in some engineering, statistical applications, various applied, human sciences, the methods provided by it helped to identify and accurately the many random processes.
In this paper, methods were used through which the reliability function, risk function, and estimation of the distribution parameters were used, and the methods are (Moment Method, Maximum Likelihood Method), where an experimental study was conducted using a simulation method for the purpose of comparing the methods to show which of these methods are competent in practical application This is based on the observations generated from the Rayleigh logarithmic distribution (RL) with sample sizes
... Show Moreزاد اهتمام الباحثين في السنوات الاخيرة بنماذج الانحدار شبه المعلمية وذلك اذ يمكن من خلالها دمج نماذج الانحدار اللامعلمي والمعلمي في ان واحد ومن ثم تكوين انموذج انحدار يتميز بامكانية التعامل مع مشكلة تعدد الابعاد الموجودة في النماذج اللامعلمية والتي تحصل عند زيادة عدد المتغيرات التوضيحية الداخلة في التحليل و من ثم تناقص دقة التقدير. فضلا عن امتياز هذا النوع من النماذج بمرونة في المجال التطبيقي مقارنةً
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In this research provide theoretical aspects of one of the most important statistical distributions which it is Lomax, which has many applications in several areas, set of estimation methods was used(MLE,LSE,GWPM) and compare with (RRE) estimation method ,in order to find out best estimation method set of simulation experiment (36) with many replications in order to get mean square error and used it to make compare , simulation experiment contrast with (estimation method, sample size ,value of location and shape parameter) results show that estimation method effected by simulation experiment factors and ability of using other estimation methods such as(Shrinkage, jackknif
... Show MoreThe purpose of this research is to find the estimator of the average proportion of defectives based on attribute samples. That have been curtailed either with rejection of a lot finding the kth defective or with acceptance on finding the kth non defective.
The MLE (Maximum likelihood estimator) is derived. And also the ASN in Single Curtailed Sampling has been derived and we obtain a simplified Formula All the Notations needed are explained.
In this paper, we will provide a proposed method to estimate missing values for the Explanatory variables for Non-Parametric Multiple Regression Model and compare it with the Imputation Arithmetic mean Method, The basis of the idea of this method was based on how to employ the causal relationship between the variables in finding an efficient estimate of the missing value, we rely on the use of the Kernel estimate by Nadaraya – Watson Estimator , and on Least Squared Cross Validation (LSCV) to estimate the Bandwidth, and we use the simulation study to compare between the two methods.
Maulticollinearity is a problem that always occurs when two or more predictor variables are correlated with each other. consist of the breach of one basic assumptions of the ordinary least squares method with biased estimates results, There are several methods which are proposed to handle this problem including the method To address a problem and method To address a problem , In this research a comparisons are employed between the biased method and unbiased method with Bayesian using Gamma distribution method addition to Ordinary Least Square metho
... Show MoreIn this research, one of the nonlinear regression models is studied, which is BoxBOD, which is characterized by nonlinear parameters, as the difficulty of this model lies in estimating its parameters for being nonlinear, as its parameters were estimated by some traditional methods, namely the method of non-linear least squares and the greatest possible method and one of the methods of artificial intelligence, it is a genetic algorithm, as this algorithm was based on two types of functions, one of which is the function of the sum of squares of error and the second is the function of possibility. For comparison between the methods used in the research, the comparison scale was based on the average error squares, and for the purpose of data ge
... Show Moreالمستخلص ان عملية تقدير الانموذج وأختيار المتغير المعنوي هي عملية حاسمة في النمذجة شبه المعلميه semi-parametric modeling)) ففي بدايه عملية النمذجة كثيرا" ما يكون هنالك عدد كبير من المتغيرات التوضيحية لتجنب فقدان أي عناصر تفسيريه قد تكون هامة ونتيجة لذلك فأن أختيار المتغيرات المعنوية أصبحت ضرورة فضلاً عن ان عملية أختيار المتغير ليس الغرض منه تبسيط الأنموذج المعقد وتفسيره فقط ولكن كذلك القدرة على التنبؤ . في هذا ا
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