في كثير من الأحيان يفشل تحليل المربعات الصغرى (LS) تماماً في حالة وجود قيم شاذة في الظواهر المدروسة، اذ ستفقد OLS خصائصها ومن ثم تفقد صفة المقدر الخطي الجيد Beast Linear Unbiased Estimator (BLUE) لِما تسببه الشواذ Outliers من تأثير سيئ علـى نتـائج التحليـل الاحـصائي للبيانـات اذ أن وجودها يؤدي الى إرباك كبير في تحليل البيانات في حالة إستخدام الطرائق التقليدية، ولعلاج هذه المشكلة تم تطوير أساليب إحصائية جديدة بحيث لا تتأثر بالقيم الشاذة بسهولة. هذه الطرائق تمتاز بالحصانة أو (المقاومة). ولذا كانت طريقة المربعات الصغرى المشذبة Least Trimmed Squares (LTS) كبديل جيد يحقق نتائج أكثر مقبولية وأمثليه. الاّ انه يمكن افتراض أوزان تأخذ بنظر العناية مواقع تواجد القيم الشاذة في البيانات وتحددها بشكل دقيق. ولزيادة قوة التقدير بطريقة المربعات الصغرى المشذبة الموزونة Weighted Least Trimmed Squares (WLTS) هو بأعاده الوزن لبيانات العينة حول المقدر المطلوب بصورة تكرارية وهو ما سيدعى طريقة المربعات الصغرى المشذبة المعاد وزنها Reweighted Least Trimmed Squares (RWLTS). ولتحقيق هذا البحث استدعت الحاجة الكشف والتقصّي عن تأثير التلوث مياه نهر دجلة في محافظة واسط بسبب مياه الصرف الصحي وبالذات التلوث بالمواد الصلبة غير الذائبة في الماءTotal Dissolved Solids (TDS) وتأثير ثلاث ملوثات أملاح الكبريتات Sulphates (SO4)، الكلورايدات Chlorides (Cl) والفوسفات Phosphates ((PO4 على ذلك. وتم تقديم ذلك بدراسة احصائية وتقييمها بشكل دقيق ورفعها الى الجهات المختصّة ولتحقيق هذا الهدف تم استعمال بحجم عينة (91) موقع تم سحبها وفحصها في مختبرات بلدية محافظة واسط. وتم إجراء التحليل باستعمال برنامج MATLAB-R2015b)).
This study was aimed to find and test biological methods for reducing the aggregation of plastics such as PS in the environment and study the ability of Greater Wax worms larvae (Galleria mellonella) to eat PS that similar in the its structure to beeswax .Weight loss, morphology changes ,FTIR spectroscopy and GC-mass analysis were performed which showed changes in chemical properties of the PS due to degradation. In this study the percentage of weight loss was 33% in the PS treated with G. mellonella. FTIR of PS frass showed the disappearance of aromatic cycle band that was found in the origin PS at region more than 3000 cm-1. Also The PS frass samples from wax worms larvae revealed the creation of a new O-H stretching alcohol
... Show MoreThis study seeks to shed light on the aspects of visual pollution and its impact on the aesthetics of the town of Al-Eizariya known to suffer from the phenomenon. In order to identify the real causes of the problem which develops in various forms and patterns, threatening not only the aesthetic appearance of the towns, but also causes the emergence of new problems and phenomena that will have negative repercussions on the population. The researcher uses the analytical descriptive method to analyze the phenomenon of visual pollution in terms of reality, development, manifestations and spread and uses photos which document the visual pollution and its impact on the aesthetics of the known. The study concluded the existence of a strong rela
... Show MoreIn this research, the covariance estimates were used to estimate the population mean in the stratified random sampling and combined regression estimates. were compared by employing the robust variance-covariance matrices estimates with combined regression estimates by employing the traditional variance-covariance matrices estimates when estimating the regression parameter, through the two efficiency criteria (RE) and mean squared error (MSE). We found that robust estimates significantly improved the quality of combined regression estimates by reducing the effect of outliers using robust covariance and covariance matrices estimates (MCD, MVE) when estimating the regression parameter. In addition, the results of the simulation study proved
... Show MoreTime series have gained great importance and have been applied in a manner in the economic, financial, health and social fields and used in the analysis through studying the changes and forecasting the future of the phenomenon. One of the most important models of the black box is the "ARMAX" model, which is a mixed model consisting of self-regression with moving averages with external inputs. It consists of several stages, namely determining the rank of the model and the process of estimating the parameters of the model and then the prediction process to know the amount of compensation granted to workers in the future in order to fulfil the future obligations of the Fund. , And using the regular least squares method and the frequ
... Show MoreIn this paper, estimation of system reliability of the multi-components in stress-strength model R(s,k) is considered, when the stress and strength are independent random variables and follows the Exponentiated Weibull Distribution (EWD) with known first shape parameter θ and, the second shape parameter α is unknown using different estimation methods. Comparisons among the proposed estimators through Monte Carlo simulation technique were made depend on mean squared error (MSE) criteria
The issue of penalized regression model has received considerable critical attention to variable selection. It plays an essential role in dealing with high dimensional data. Arctangent denoted by the Atan penalty has been used in both estimation and variable selection as an efficient method recently. However, the Atan penalty is very sensitive to outliers in response to variables or heavy-tailed error distribution. While the least absolute deviation is a good method to get robustness in regression estimation. The specific objective of this research is to propose a robust Atan estimator from combining these two ideas at once. Simulation experiments and real data applications show that the p
... Show MoreThe logistic regression model is an important statistical model showing the relationship between the binary variable and the explanatory variables. The large number of explanations that are usually used to illustrate the response led to the emergence of the problem of linear multiplicity between the explanatory variables that make estimating the parameters of the model not accurate.
... Show MoreThe issue of penalized regression model has received considerable critical attention to variable selection. It plays an essential role in dealing with high dimensional data. Arctangent denoted by the Atan penalty has been used in both estimation and variable selection as an efficient method recently. However, the Atan penalty is very sensitive to outliers in response to variables or heavy-tailed error distribution. While the least absolute deviation is a good method to get robustness in regression estimation. The specific objective of this research is to propose a robust Atan estimator from combining these two ideas at once. Simulation experiments and real data applications show that the proposed LAD-Atan estimator
... Show MoreThe derivation of 5th order diagonal implicit type Runge Kutta methods (DITRKM5) for solving 3rd special order ordinary differential equations (ODEs) is introduced in the present study. The DITRKM5 techniques are the name of the approach. This approach has three equivalent non-zero diagonal elements. To investigate the current study, a variety of tests for five various initial value problems (IVPs) with different step sizes h were implemented. Then, a comparison was made with the methods indicated in the other literature of the implicit RK techniques. The numerical techniques are elucidated as the qualification regarding the efficiency and number of function evaluations compared with another literature of the implic
... Show MoreWeibull distribution is considered as one of the most widely distribution applied in real life, Its similar to normal distribution in the way of applications, it's also considered as one of the distributions that can applied in many fields such as industrial engineering to represent replaced and manufacturing time ,weather forecasting, and other scientific uses in reliability studies and survival function in medical and communication engineering fields.
In this paper, The scale parameter has been estimated for weibull distribution using Bayesian method based on Jeffery prior information as a first method , then enhanced by improving Jeffery prior information and then used as a se
... Show More