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The effect of estimating the shape parameter on probability distributions using the moment method
Author
Source
Journal of Averroes University in Holland
Issue
Vol. 2019, Issue 32 (31 May. 2019), pp.205-228, 24 p.
Publisher
Averroes University in Holland
Publication Date
2019-05-31
Country of Publication
Netherlands
No. of Pages
24
Main Subjects
Topics
Abstract EN
The purpose of this paper was to identify the values of the parameters of the shape of the binomial, biasone and natural distributions.
Using the estimation method, the criterion of differentiation was used to estimate the shape parameter between the probability distributions and to arrive at the best estimate of the parameter of the shape when the sample sizes are small, medium, The problem was to find the best estimate of the characteristics of the society to be estimated so that they are close to the estimated average of the mean error squares and also the effect of the estimation method on estimating the shape parameter of the distributions at the sizes of different samples In the values of the different shape parameter, the descriptive and inductive method was selected in the analysis of the data by generating 1000 random numbers of different sizes using the simulation method through the MATLAB program.
A number of results were reached, 10) to estimate the small shape parameter (0.3) for binomial distributions and Poisson and natural and they can use the Poisson distribution because it is the best among the distributions, and to estimate the parameter of figure (0.5), (0.7), (0.9) Because it is better for binomial binomial distributions, when the size of a sample (70) for a teacher estimate The small figure (0.3) of the binomial and boson distributions and natural distributions can be used for normal distribution because it is the best among the distributions.
For estimating the parameter of figure (0.5), (0.7), (0.9) Among distributions.
The paper also issued a number of recommendations, most notably the use of binomial distribution to estimate the parameter of the figure (0.9) at the size of sample (10), (30), (50), (70).
American Psychological Association (APA)
Hamzah, Hamzah Ibrahim. 2019. The effect of estimating the shape parameter on probability distributions using the moment method. Journal of Averroes University in Holland،Vol. 2019, no. 32, pp.205-228.
https://search.emarefa.net/detail/BIM-881002
Modern Language Association (MLA)
Hamzah, Hamzah Ibrahim. The effect of estimating the shape parameter on probability distributions using the moment method. Journal of Averroes University in Holland No. 32 (May. 2019), pp.205-228.
https://search.emarefa.net/detail/BIM-881002
American Medical Association (AMA)
Hamzah, Hamzah Ibrahim. The effect of estimating the shape parameter on probability distributions using the moment method. Journal of Averroes University in Holland. 2019. Vol. 2019, no. 32, pp.205-228.
https://search.emarefa.net/detail/BIM-881002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 228
Record ID
BIM-881002