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Activity Number:
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408
- SPAAC Poster Competition
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Type:
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Topic Contributed
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Date/Time:
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Tuesday, July 31, 2018 : 2:00 PM to 3:50 PM
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Sponsor:
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Scientific and Public Affairs Advisory Committee
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Abstract #328683
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Title:
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Convergence of Known Distributions to Normality or Non-Normality: An Elementary Ratio Technique
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Author(s):
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Subhash Bagui* and K. L. Mehra
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Companies:
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University of West Florida and University of Alberta
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Keywords:
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Arc-Sign distribution;
First passage;
Gamma distribution;
Negative-Binomial;
Random walk;
Ratio technique
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Abstract:
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Abstract. This talk presents an elementary informal technique for deriving the convergence of known discrete/continuous type distributions to limiting normal or non-normal distributions. The technique utilizes the ratio of the pmf/pdf at hand at two consecutive/nearby points. The technique does not furnish a formal proof for the convergence. It's a heuristic derivation technique only. We do provide, however, a framework for a formal method of proof. The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics.
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Authors who are presenting talks have a * after their name.
