Abstract Details
Activity Number:
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645
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Type:
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Contributed
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Date/Time:
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Thursday, August 8, 2013 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistics and the Environment
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Abstract - #309151 |
Title:
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A Sequential Fixed-Size Confidence Interval Estimation for Positive Parameters with Applications in Statistical Ecology
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Author(s):
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Swarnali Banerjee*+ and Nitis Mukhopadhyay
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Companies:
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University of Connecticut and University of Connecticut
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Keywords:
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ecology ;
entomology ;
infestation ;
sequential ;
Negative Binomial ;
confidence interval
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Abstract:
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We focus on count data from statistical ecology. Anscombe (1949, Biometrics) emphasized negative binomial (NB) modeling for overdispersed count data. He proposed a NB distribution with two parameters - mean (>0) and clumping or thatching parameter k (finite). Many existing methodologies, both non-sequential and sequential, were reviewed by Mukhopadhyay and Banerjee (2012, under submission). Willson and Folks (1983) developed a sequential fixed-size confidence interval methodology for NB mean with k known, but it had an undesirable property that the lower confidence limit might not be positive. Hence we (joint work with Professor Mukhopadhyay) have introduced an appropriate alternative sequential fixed-size confidence interval for NB mean with both upper (and lower) confidence limit(s) positive assuming k known. The procedure enjoys asymptotic consistency and first-order asymptotic efficiency and its applications in ecology are widespread and useful. The new methodology is compared with that of Willson and Folks followed by a real data application from insect infestation with very encouraging results. Time permitting, some extensions may be included.
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Authors who are presenting talks have a * after their name.
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