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.
| Identifer | oai:union.ndltd.org:MANITOBA/oai:mspace.lib.umanitoba.ca:1993/23841 |
| Date | January 2014 |
| Creators | Saha, Sathi Rani |
| Contributors | Mandal, Saumen (Statistics), Thavaneswaran, Aerambamoorthy (Statistics) Thulasiram, Ruppa (Computer Science) |
| Publisher | Sankhya B: The Indian Journal of Statistics |
| Source Sets | University of Manitoba Canada |
| Detected Language | English |
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