Abstract
We consider using ranked set sampling methods to draw inference about the three well-known measures of overlap, namely Matusita's measure , Morisita's measure and Weitzman's measure . Two exponential populations with different means are considered. Due to the difficulties of calculating the precision or the bias of the resulting estimators of overlap measures, because there are no closed-form exact formulas for their variances and their exact sampling distributions, Monte Carlo evaluations are used. Confidence intervals for those measures are also constructed via the bootstrap method and Taylor series approximation.
Original language | American English |
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State | Published - Mar 1 2007 |
Event | Mathematical American Association and Society of Industrial and Applied Mathematics Joint Conference (MAA-SIAM) - Duration: Mar 1 2007 → … |
Conference
Conference | Mathematical American Association and Society of Industrial and Applied Mathematics Joint Conference (MAA-SIAM) |
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Period | 03/1/07 → … |
Disciplines
- Biostatistics
- Public Health
Keywords
- Exponential populations
- Overlapping coefficients
- Ranked set sampling