JSM 2011 Online Program

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Abstract Details

Activity Number: 249
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #300901
Title: Robust Confidence Interval for Zero-Heavy Distribution
Author(s): Mathew Anthony Cantos Rosales*+ and Magdalena Niewiadomska-Bugaj
Companies: COMSYS and Western Michigan University
Address: 5220 Lovers Lane STE 200, Portage, MI, 49002,
Keywords: zero-heavy ; lognormal distribution ; Monte-Carlo ; robust estimator ; delta distribution ; confidence interval
Abstract:

Zero-heavy data are very common in many disciplines like insurance, medical research, life sciences, marine sciences and engineering. In real life (e.g., in marine sciences), data that are said to be from lognormal distribution were often better fit by other skewed distributions (Myers and Pepin, 1990). This is in addition to the fact that goodness-of-fit test could not reliably detect departure from lognormality of the positive observation when sample size is small. In this paper, robustness of the interval estimators for the mean of lognormal distribution with a positive mass at zero was investigated and a new method was proposed. A comprehensive Monte-Carlo simulation study was performed and revealed that the proposed method outperforms other methods in terms of coverage probability and interval width when the data depart from the assumed model or are contaminated by extremely large values.


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