New Technique to Estimate the Asymmetric Trimming Mean. (4th October 2010)

• Record Type: Journal Article
• Authors: Alkhazaleh, A. M. H.; Razali, A. M.
• Other Names: Thavaneswaran A. Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2010(2010)
• Publication Date: 2010-10-04
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2010/739154
• Languages: English
• ISSNs: 1687-952X

Abstract

Abstract : A trimming mean eliminates the extreme observations by removing observations from each end of the ordered sample. In this paper, we adopted the Hogg's and Brys's tail weight measures. In addition, a new algorithm was proposed as a linear estimator based on the quartile; we used a quartile to divide the data into three and four groups. Then two new estimators were proposed. These classes of linear estimators were examined via simulation method over a variety of asymmetric distributions. Sample sizes 50, 100, 150, and 200 were generated using R program. The results of 50 were tabulated, since we have similar results for the other sizes. These results were tabulated for 7 asymmetric distributions with total trimmed proportions 0.10 and 0.20 on both sides, respectively. The results for these estimators were ordered based on their relative efficiency.