Efficient Estimation in the Weibull Distribution

Author(s):

Shahram Yaghoubzadeh Shahrestani*

Message:
Article Type:
Research/Original Article (ترویجی)
Abstract:

In this paper, the maximum likelihood estimation and the uniform minimum variance unbiased estimators of the probability density function and cumulative distribution function are derived for the Weibull distribution. Furthermore, through the simulation method of Monte-Carlo and areal deta set and calculation of mean square of errors of estimators, they are subjected to comparisons.

Keywords:

Weibull distribution , maximum likelihood estimator , uniform minimum variance unbiased estimator , probability density function , cumulative distribution function , mean squared error , simulation method of Monte , Carlo

Language:
Persian
Published:
Iranian Journal of Official Statistics Studies, Volume:26 Issue: 1, 2015
Pages:
89 to 106
https://magiran.com/p1542138