Robust estimation methods for exponential data: a monte-carlo comparison
Title:
Robust estimation methods for exponential data: a monte-carlo comparison
Author:
Willemain, Thomas R. Allahverdi, Ali Desautels, Philip ldredge, Janine Gur, Ozden Panos, Gregory rinivasan, Aparna Surtihadi, Johan Topal, Erkan Miller, Mark
Appeared in:
Communications in statistics
Paging:
Volume 21 (1992) nr. 4 pages 1043-1075
Year:
1992
Contents:
We compare the performance of seven robust estimators for the parameter of an exponential distribution. These include the debiased median and two optimally-weighted one-sided trimmed means. We also introduce four new estimators: the Transform, Bayes, Scaled and Bicube estimators. We make the Monte Carlo comparisons for three sample sizes and six situations. We evaluate the comparisons in terms of a new performance measure, Mean Absolute Differential Error (MADE), and a premium/protection interpretation of MADE. We organize the comparisons to enhance statistical power by making maximal use of common random deviates. The Transform estimator provides the best performance as judged by MADE. The singly-trimmed mean and Transform method define the efficient frontier of premium/protection.