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Exploring Confidence Intervals In The Case Of Binomial And Hypergeometric Distributions, Irene Mojica
Exploring Confidence Intervals In The Case Of Binomial And Hypergeometric Distributions, Irene Mojica
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The objective of this thesis is to examine one of the most fundamental and yet important methodologies used in statistical practice, interval estimation of the probability of success in a binomial distribution. The textbook confidence interval for this problem is known as the Wald interval as it comes from the Wald large sample test for the binomial case. It is generally acknowledged that the actual coverage probability of the standard interval is poor for values of p near 0 or 1. Moreover, recently it has been documented that the coverage properties of the standard interval can be inconsistent even if …