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Single Probability

Chapter
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Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Abstract

The Binomial distribution and its properties are discussed in detail including maximum likelihood estimation of the probability \(p\). Exact and approximate hypothesis tests and confidence intervals are provided for \(p\). Inverse sampling and the Negative Binomial Distribution are also considered.

Keywords

Bernoulli trials Maximum likelihood estimate Likelihood-ratio test Inverse sampling Negative-Binomial distribution Exact hypothesis test for a probability  Exact and approximate confidence intervals for a probability   Poisson approximation to the Binomial distribution 

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Copyright information

© The Author(s) 2013

Authors and Affiliations

  1. 1.Department of StatisticsThe University of AucklandAucklandNew Zealand

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