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Activity Number:
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153
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Type:
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Contributed
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Date/Time:
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Monday, August 7, 2006 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Statistical Computing
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| Abstract - #306757 |
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Title:
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Modified Normal Approximations to the Binomial Distribution
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Author(s):
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David Vlieger*+
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Companies:
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Northwest Missouri State University
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Address:
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Department of Mathematics and Statistics, Maryville, MO, 64468,
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Keywords:
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Abstract:
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Traditional Normal approximations to the binomial distribution tend to be quite inaccurate for small sample sizes, particularly in the tails. For this reason, approximate confidence intervals for the parameter p of a binomial distribution based on these approximations yield mixed results, and a large body of literature exists addressing these problems. In this study two new distributions (derived from the Normal distribution) are introduced, along with their use as approximations to the binomial distribution. Some of the statistical properties of these distributions are investigated, and the accuracy of the approximations to the binomial distribution is evaluated. The confidence intervals for the binomial parameter p are given and the coverage probabilities and sharpness properties investigated.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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