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 |
|