Template:Weibull parameters maximum likelihood estimation: Difference between revisions

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-=== Maximum Likelihood Estimation ===
+#REDIRECT [[The Weibull Distribution]]
-As outlined in Chapter [[Parameter Estimation]], maximum likelihood estimation works by developing a likelihood function based on the available data and finding the values of the parameter estimates that maximize the likelihood function.  This can be achieved by using iterative methods to determine the parameter estimate values that maximize the likelihood function, but this can be rather difficult and time-consuming, particularly when dealing with the three-parameter distribution.  Another method of finding the parameter estimates involves taking the partial derivatives of the likelihood function with respect to the parameters, setting the resulting equations equal to zero and solving simultaneously to determine the values of the parameter estimates. ( Note that MLE asymptotic properties do not hold when estimating <span class="texhtml">γ</span> using MLE [[Appendix: Weibull References|[27]]].) The log-likelihood functions and associated partial derivatives used to determine maximum likelihood estimates for the Weibull distribution are covered in [[Appendix: Distribution Log-Likelihood Equations|Appendix]].
-'''Example 5:'''
-{{Example: Weibull MLE}}