LIU Liping, . Existence of MLE for Weibull Distribution with Grouped and Censored Data[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(2): 133-138.
Citation: LIU Liping, . Existence of MLE for Weibull Distribution with Grouped and Censored Data[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(2): 133-138.

Existence of MLE for Weibull Distribution with Grouped and Censored Data

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  • Received Date: May 12, 1999
  • Revised Date: September 10, 2000
  • In this paper we consider the estimation problem in the situation where the lifetime of some products follows a Weibull distribution, and the observed data are grouped and right-censored. All possible cases are discussed, and a necessary and sufficient condition for the existence of the maximum likelihood estimate of the unknown parameters is given. The paper is concluded with a short discussion about one failure situation and about the calculation of the maximum likelihood estimate with a true data set.

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