Efficient estimation of parameters of the extreme value distribution
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Date
2014
Authors
Saha, Sathi Rani
Journal Title
Journal ISSN
Volume Title
Publisher
Sankhya B: The Indian Journal of Statistics
Abstract
The problem of efficient estimation of the parameters of the extreme value distribution has not been addressed in the literature. We obtain efficient estimators of the parameters of type I (maximum) extreme value distribution without solving the likelihood equations. This research provides for the first time simple expressions for the elements of the information matrix for type II censoring. We construct efficient estimators of the parameters using linear combinations of order statistics of a random sample drawn from the population. We derive explicit formulas for the information matrix for this problem for type II censoring and construct efficient estimators of the parameters using linear combinations of available order statistics with additional weights to the smallest and largest order statistics. We consider numerical examples to illustrate the applications of the estimators. We also perform an extensive Monte Carlo simulation study to examine the performance of the estimators for different sample sizes.
Description
Keywords
efficient, extreme value distribution, estimation, censored observation
Citation
Saha, S., M. Samanta, and S. Mandal (2014). Efficient estimation of parameters of the extreme value distribution. Sankhya B. Accepted, in press, doi:10.1007/s13571-013-0074-3