A surprising MLE for interval-censored binomial data.
We derive the maximum likelihood estimator of the binomial success probability when the number of trials is known, but the number of successes is only known to fall in some interval. This estimator has a surprisingly simple form. Specifically, the maximum likelihood estimate of the log odds of succe...
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2008
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A surprising MLE for interval-censored binomial data. Frey, Jesse. Marrero, Osvaldo. We derive the maximum likelihood estimator of the binomial success probability when the number of trials is known, but the number of successes is only known to fall in some interval. This estimator has a surprisingly simple form. Specifically, the maximum likelihood estimate of the log odds of success is the mean of the maximum likelihood estimates of the log odds of success that are obtained by letting the number of successes take on each integer value in the interval. An application is suggested. 2008 Villanova Faculty Authorship vudl:176349 The American Statistician 62(2), May 2008, 135-138. en |
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A surprising MLE for interval-censored binomial data. |
dc.creator_txt_mv |
Frey, Jesse. Marrero, Osvaldo. |
dc.description_txt_mv |
We derive the maximum likelihood estimator of the binomial
success probability when the number of trials is known, but the
number of successes is only known to fall in some interval. This
estimator has a surprisingly simple form. Specifically, the maximum
likelihood estimate of the log odds of success is the mean
of the maximum likelihood estimates of the log odds of success
that are obtained by letting the number of successes take on each
integer value in the interval. An application is suggested. |
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2008 |
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vudl:176349 |
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The American Statistician 62(2), May 2008, 135-138. |
dc.language_txt_mv |
en |
author |
Frey, Jesse. Marrero, Osvaldo. |
spellingShingle |
Frey, Jesse. Marrero, Osvaldo. A surprising MLE for interval-censored binomial data. |
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Frey, Jesse. Marrero, Osvaldo. |
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The American Statistician 62(2), May 2008, 135-138. |
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Frey, Jesse. |
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2008 |
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A surprising MLE for interval-censored binomial data. |
description |
We derive the maximum likelihood estimator of the binomial
success probability when the number of trials is known, but the
number of successes is only known to fall in some interval. This
estimator has a surprisingly simple form. Specifically, the maximum
likelihood estimate of the log odds of success is the mean
of the maximum likelihood estimates of the log odds of success
that are obtained by letting the number of successes take on each
integer value in the interval. An application is suggested. |
title |
A surprising MLE for interval-censored binomial data. |
title_full |
A surprising MLE for interval-censored binomial data. |
title_fullStr |
A surprising MLE for interval-censored binomial data. |
title_full_unstemmed |
A surprising MLE for interval-censored binomial data. |
title_short |
A surprising MLE for interval-censored binomial data. |
title_sort |
surprising mle for interval-censored binomial data. |
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2008 |
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2008-01-01T00:00:00Z |
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