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Re: st: maximum likelihood estimate of =?UTF-8?B?zrggZm9yIHRoZSBs?==?UTF-8?B?b2dhcml0aG1pYyBzZXJpZXMgZGlzdHJpYnV0aW9u?=


From   Nick Cox <n.j.cox@stata.com>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: maximum likelihood estimate of =?UTF-8?B?zrggZm9yIHRoZSBs?==?UTF-8?B?b2dhcml0aG1pYyBzZXJpZXMgZGlzdHJpYnV0aW9u?=
Date   Mon, 29 Sep 2008 09:21:21 -0500

John R. Gleason wrote about parameter estimation for this distribution in 1997: See insert ip17 in

http://www.stata.com/products/stb/journals/stb37.pdf

I have a program of approximately the same vintage in my files on my home machine, but I am away from base at present.

The tricky part here is the confidence interval. I doubt that my program did anything about that. I am not clear without reading the literature whether you have enough information to get intervals.

Nick
n.j.cox@durham.ac.uk

zhang xuan wrote:


    some one told me find the maximum likelihood estimate of θ for the logarithmic series distribution and construct a 95% Confidence Interval for θ. there is no sample but i was told that there is a sample of 100 observations and the sum of the X is 381. if there is a sample or if i can simulate a sample, it is easy to find the theta but if there is no sample, can someone help me out? how can i write a program to estimate the theta and its 95% Confidence Interval?
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