This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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585
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Type:
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Contributed
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Date/Time:
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Wednesday, August 4, 2010 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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Abstract - #308101 |
Title:
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On an Interpretation of Celebrated Rao-Rubin Condition and Its Variations Arising in the Characterizations of the Poisson and Other Discrete Distributions
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Author(s):
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Makarand V. Ratnaparkhi*+
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Companies:
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Wright State University
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Address:
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Col.Glenn Highway, Dayton, OH, 45435,
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Keywords:
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Rao-Rubin condition ;
characterization ;
Poisson distribution ;
monoclonal antibodies ;
growth
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Abstract:
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Let X be a non-negative, integer valued r.v. that is subjected to a damage process. Let Y be the undamaged portion of X.Then, Y is equal to X ,or Y is less than X. Suppose the distribution of Y given X, referred to as the survival distribution, is binomial.If X is equal to Y, then the observation on X is called undamaged. Otherwise, it is called a damaged observation. Now, the characterization of the Poisson distribution,as the distribution of X,is obtained by using the property P(Y=y) = P(Y=y| Undamged)=P(Y=y|Damaged).This property is known as the celebrated Rao-Rubin (1964) condition.In this presentation, a practical difficulty related to the adaptability of this condition while identifying a Poisson model for the experimental data for the growth of monoclonal antibodies is discussed,thereby suggesting a need for a more stringent look at this condition.
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Authors who are presenting talks have a * after their name.
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