Suggested method of Estimation for the Two Parameters of Weibull Distribution Using Simulation Technique

Authors

  • Abdulkhaleq ALNaqeeb Department of Bio-Medical Statistics, College of Health Medical Technology, Baghdad, Iraq.
  • Alaa Hamad Department of Mathematics, College of Education/Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq.

Keywords:

Generalized Exponential, , GE, and Inverse Prob. , of cum. sampling dist.

Abstract

In this paper, suggested method as well as the conventional methods (probability
plot-(p.p.) for estimations of the two-parameters (shape and scale) of the Weibull
distribution had proposed and the estimators had been implemented for different
sample sizes small, medium, and large of size 20, 50, and 100 respectively by
simulation technique. The comparisons were carried out between different methods
and sample sizes. It was observed from the results that suggested method which
were performed for the first time (as far as we know), by using MSE indicator, the
comparisons between the studied and suggested methods can be summarized
through extremely asymptotic for indicator (MSE) results by generating random
errors with W(1, 1) and with generating with N(0,
2  ) at the first contrast (1,
1).The suggested method was reported better performance through the sequentially
status of ascending ordered for assumed initial contrast parameters, specially with
generating of random error with W (1, 1) cooperation with generating of N (0,δ) in
the simple linear regression equation.

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Published

2024-02-13

Issue

Section

Mathematics

How to Cite

Suggested method of Estimation for the Two Parameters of Weibull Distribution Using Simulation Technique. (2024). Iraqi Journal of Science, 54(Mathematics conf), 744-748. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12450

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