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Confidence Intervals for the Median of a Gamma Distribution

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dc.contributor.author Banneheka, B.M.S.G.
dc.date.accessioned 2013-04-24T03:26:54Z
dc.date.available 2013-04-24T03:26:54Z
dc.date.issued 2010
dc.identifier.citation Banneheka, B.M.S.G. (2010). Confidence Intervals for the Median of a Gamma Distribution. Vidyodaya Journal of Science, 15(1&2), 37-43. en-US
dc.identifier.uri http://dr.lib.sjp.ac.lk/handle/123456789/1007
dc.description.abstract The gamma distribution is often used as a model for positively skewed distributions. The median is better than the mean as the representative of the 'average' in such situations. Literature is available for inference concerning the mean of a gamma distribution, but the literature concerning the median of a gamma distribution is rare. In this paper we present a method for constructing confidence intervals for the median of a gamma distribution. The method involves inverting the likelihood ratio test to obtain 'large sample' confidence intervals. A difficulty arises as it is not possible to write the likelihood function in terms of the median. In this paper we propose a method to avoid this difficulty. The method works well even for moderately large sample sizes. The methodology is illustrated using an example. en_US
dc.language.iso en en_US
dc.subject Positively skewed en_US
dc.subject Likelihood ratio test en_US
dc.subject Large sample theory en_US
dc.title Confidence Intervals for the Median of a Gamma Distribution en_US
dc.type Article en_US
dc.date.published 2010


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