Authors :
Hassan Tawakol A. Fadol
Volume/Issue :
Volume 5 - 2020, Issue 6 - June
Google Scholar :
http://bitly.ws/9nMw
Scribd :
https://bit.ly/3gK52wt
DOI :
10.38124/IJISRT20JUN551
Abstract :
The purpose of this paper was to identify the
values of the parameters of the shape of the binomial,
bias one and natural distributions. Using the estimation
method and maximum likelihood 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.
Keywords :
Shape parameter, parameters estimation, Binomial distribution, Random Numbers, The Moment Method, Maximum Likelihood Method.
The purpose of this paper was to identify the
values of the parameters of the shape of the binomial,
bias one and natural distributions. Using the estimation
method and maximum likelihood 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.
Keywords :
Shape parameter, parameters estimation, Binomial distribution, Random Numbers, The Moment Method, Maximum Likelihood Method.
