Abstract
We have an experiment in mind in which we are interested in only two possible outcomes labeled “success” and “failure”. Let p be the probability of a success so that q = 1−p will be the probability of a failure. We want to estimate the value of p. We therefore gather a random sample which here is running the experiment n independent times and counting the number of times we had a success. Let x be the number of times we observed a success in n independent repetitions of this experiment. Then our point estimate of \(\mathop p\limits^ \wedge = x/n\).
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References
R.V. Hogg and E.A.Tanis Probability and Statistical Inference, Sixth Edition, Prentice Hall, Upper Saddle River, N.J., 2001.
Maple 6, Waterloo Maple Inc., Waterloo, Canada.
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© 2004 Springer-Verlag Berlin Heidelberg
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Buckley, J.J. (2004). Estimate p, Binomial Population. In: Fuzzy Statistics. Studies in Fuzziness and Soft Computing, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39919-3_5
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DOI: https://doi.org/10.1007/978-3-540-39919-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05924-7
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