Converting random cooperation into dependence on exponential warppeel distributions with a practical application

Preface letter to
Council of the College of Administration and Economics / University of Karbala, which is part of the requirements for obtaining a master’s degree in statistics

Submitted by the researcher By 
Nabaa of Abbas Mohsen

Supervised By
Assist. Prof.Dr. Sada Fayed Mohammed

ABSTRACT
The method of distributing distributions is a common custom, and new distributions are known as speaker distributions. In this thesis, the inverse distribution transformation method (idf Transform) is used and to construct the new continuous distribution distribution through the distribution of two distributions, which are the convoluted exponential distribution (the convoluted exponential distribution) and the convoluted exponential distribution (the cardioid distribution). Using the inverse distribution rule (IDF transformation), we generate a distribution that defines three parameters (ρ, μ, α) to fit the real data, which we called the EHC distribution. In this thesis, enjoy studying the characteristics of the new distribution and learn about nine methods, which are the Maximum Discrimination Method (MLE), the Ordinary Major Integrals Method (OLS), the Weighted Major Distributions Method (WLS), and for the purpose of estimating a distribution, the Monte Carlo simulation method was used and the famous MATLAB program was used. Identifying the average of the data, which starts from the estimation methods first, depends on taking the squared error statistic and using the rank method, where 5 different models are used for default values ​​for the parameters and for different reasons for changing the results of the imbalance. The maximum control method (MLE) is used in calculating estimators. Distribution features are the best estimation method. The best size for data analysis was determined for the maximum likelihood method for all correlations, as the sample size has a size of 150 that is less than the mean square error, meaning that it is the best analysis size to represent the real data. The best model that corresponds to the fact that has less than the mean square error is completely completed. The third model represents the distribution on a basis. Global data on the eye was used, obtained from the eyes of the Karbala Laboratory in the Holy Governorate of Karbala, for examinations, advanced diagnostic data for eye diseases, using the Medical Assistance Device (OCT) for three-dimensional computed tomography, in which a picture was taken of part of the eyes ( 100) A patient using computed tomography of the anterior part of the visual range. 
The variable that represents the studied data is θ, which represents the square angle in radians, which measures the posterior curvature of the cornea, and it was supported to areas of spider distribution, a real error, and finding the correct angle that absorbs eye diseases such as strabismus and corneal damage.