IRAOI JOURNAL OF STATISTICAL SCIENCES

The forecasting process of water cleaning in the city of Mosul was studied using the input and output variables represented by some tests performed on raw water before the filtration process, to be treated through multiple filtration stages. To determine the safety of water for human consumption, the filtration process was studied by forecasting using Dynamic models, including the self-regression model with additional inputs, the moving averages model, self-regression with additional inputs, as well as the output error model and the box Jenkins model. the best model obtained from the data was diagnosed using statistical criteria, and then a comparison was made to predict through forecasting criteria and applied to water data.

Analysis and implementation of a parallel algorithm to calculate the integration of the function y=1/e to the x with a specified time interval. Design and implementation using C/C++ is based on the sharing of memory among "THREADS." The "Pthread" library has been used. Use of the output file to print information and the purpose of using the POSIX library
It is to implement the program faster than the one nucleus, when it involves a set of processors (THREADS) where each thread is considered to be a processor. This accelerates the solution of the complex problems in the system that need a large memory, where time sharing is used by Mutex. Lock and unlock through research prior to the use of parallel programs and its memory sharing technique to solve complex and large issues that require a long time to be implemented. Using parallel programs, each thread carries a particular issue and solves it, and the results are combined by reducing the time execution and increasing the speed of the system speedup according to the speed equation S=T1/Tn

The purpose of this research is to estimate the cumulative distribution function CDF using the local polynomial regression LPR and compare it to parameter estimation using the method of moments and the maximum likelihood method to calculate both the mean square error and the bias using the ranked sets sample RSS and the median ranked sets sample MRSS. As well as RSS frequently produces more exact estimates than simple random sampling SRS for the same sample size. By ranking samples based on some easily measurable characteristic, the variability within each set is decreased, resulting in more accurate estimations. We investigated three different degrees of local polynomial regression: the first, second, and third. The simulation analysis demonstrated that the second degree outperforms the other degrees. Also, when LPR is used to analyze RSS data, it takes advantage of the reduced variability within each ranked set, resulting in more precise and reliable regression function estimates. Following that, we investigated several degrees of bandwidth (0.1, 0.2, … and 0.9) and discovered that the bandwidth of degree 0.8 is superior to the other degrees based on a simulation study. Finally, we analyzed the relative efficiency of each of the three approaches:LPR, MOM, and MLE, and we discovered that LPR is more efficient than the other methods for estimating the CDF in different kernels (normal (gaussian), epanechinkov). The numerical results provide that the suggested estimator CDF based on LPR is more efficient than other methods, as predicted by the simulation analysis

There are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, g-closed) sets and studied their basic properties and Veera Kumar [5] introduced g^*-closed sets in topological spaces. The purpose of this present paper is to define a new class of generalized idea closed sets called g_*^*-I-closed sets by using g^*-open set .In this paper, we introduce the g_*^*-I-closed sets, characterizations and properties of g_*^*-I-closed sets and its complement and other related sets. We prove that the class of g_*^*-I_- closed sets lies between the class of Ig-closed sets and the class of g*-closed sets. Also, we find some relations between g_*^*-I-closed sets and already existing closed sets. g_i^*-I-open neighborhood is introduced and their properties are investigated.