On the maximum likelihood estimation of parameters of Weibull distribution based on complete and censored data

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Estimation from Burr type XII distribution using progressive first-failure censored data (2013, methodology): “finding method, we can use the graphical method discussed in Balakrishnan and Kateri [26].”
Bayesian estimation and prediction for Weibull model with progressive censoring (2012, methodology): “Balakrishnan and Kateri [21] proposed a graphical method as an alternative which does not require the second differentiations.”
Comparison of estimation methods for the Weibull distribution (2013, methodology): “In [22], the MLE for censored data was derived (see also [33,34]).”
Likelihood estimation for a general class of inverse exponentiated distributions based on complete and progressively censored data (2014, background): “It is of interest to mention here that Balakrishnan and Kateri [9] and Ghitany et al. [10] have carried out similar work concerning the likelihood estimation for Weibull and exponentiated family of distributions.”