Estimating the effect of the shape parameter and the sample size on probability distributions using the maximum likehood preparation

Abstract EN

The objective of the study was to identify the values of the shape parameters of the binomial and boson distributions.

They used the Maximum Likdhood method of identification and the criterion of differentiation to estimate the shape parameter between the probability distributions and the best estimate of the parameter of the shape when the sample sizes are small, medium and large The estimate is as close as possible to the value of the shape parameter of the distribution concerned, and the problem is that when using any method of estimation, the best estimate of the parameters of the society to be estimated should be estimated to be close to the estimate with the least error.

For the distribution and also the effect of the method of maximum possibility on the estimation of the parameter of the form of the distribution at the sizes of different samples and the values of the parameter of the different form The descriptive and inductive method was selected in the analysis of the data by generating 1000 randomly at different sizes using the simulation method through the MATLAB program was reached A number of results were obtained.

The most import ant of these was the estimation of the small and medium shape parameter at the size of a small sample of binomial and boson distributions.

The maximum method of estimating the binomial distribution was used for the best distributions.

Not to use The greatest possible way to estimate the small and medium-sized shape parameter and large at small, medium and large size distribution Qama not suitable.