توظيف اسلوب التوزيعات الملتفة في بناء توزيع

Rp-Employing the method of convoluted distributions constructing probability distributions of Zeghdoudi with a practical application.pdf

Circular data is one of the most relevant and important applied techniques in many fields such as physical sciences, medical sciences, meteorology, psychology and other sciences that fall within the full circular range (0, 2π). Such data is called circular data. A model must be found for the purpose of studying and analyzing such data. Therefore, this message came in which the circular wrapped distribution rule was relied upon, so that the distribution (Zeghdoudi Distribution) is adopted as a basic distribution to obtain the distribution (Wrapped Zeghdoudi Distribution), which is concerned with converting regular linear data into circular polar data (measured by angles), and then finding most of the statistical and structural properties of the proposed distribution (Wrapped Zeghdoudi Distribution) as a probability and cumulative density function, survival and risk function, in addition to other statistical properties, and then estimating the parameters and survival function of the new distribution based on three estimation methods, which are the usual maximum likelihood method (Maximum Likelihood), the least squares method (LS), and the weighted least squares method (WLS). For the purpose of comparing the methods of estimating the parameters of the proposed distribution, the Monte Carlo simulation method was employed using a program in the (Mathematical) language to conduct several experiments with different sample sizes. Small (30-20-10), medium (75-50) and large (,100)) based on the statistical criterion of the mean square error (MSE), as the simulation results showed the superiority of the weighted least squares method in calculating the parameters and survival function estimates for the distribution (Zeghdoudi Distribution Wrapped) in a way, and the distribution was applied to real data of (100) observations representing the angles of the spinal deflection of people “suffering from scoliosis” by applying this data to the proposed distribution to estimate the parameters and the survival function using the weighted least squares method, which showed its superiority in the experimental aspect among the estimation methods used in calculating the parameters and the survival function, based on the outputs of the program Mathematical.
(distribution wrapped- Zeghdoudi).