A Characterization of the Uniform Distribution via Maximum Likelihood Estimation of its Location Parameter

1989 ◽  
pp. 125-131 ◽  
Author(s):  
Z. Buczolich ◽  
G. J. Székely
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Uniform Distribution ◽  
Likelihood Estimation ◽  
Location Parameter

scholarly journals A Note on the Existence of the Location Parameter Estimate of the Three-Parameter Weibull Model Using the Weibull Plot

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Chanseok Park
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Location Parameter ◽  
Weibull Model ◽  
Parameter Estimate ◽  
Reliability Engineering ◽  
Bounded Interval ◽  
Weibull Plot ◽  
Sample Correlation

The Weibull model is one of the widely used distributions in reliability engineering. For the parameter estimation of the Weibull model, there are several existing methods. The method of the maximum likelihood estimation among others is preferred because of its attractive statistical properties. However, for the case of the three-parameter Weibull model, the method of the maximum likelihood estimation has several drawbacks. To avoid the drawbacks, the method using the sample correlation from the Weibull plot is recently suggested. In this paper, we provide the justification for using this new method by showing that the location estimate of the three-parameter Weibull model exists in a bounded interval.

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