Re: Goodness of fit test for phase-type distribution

From: Herman Rubin (hrubin_at_odds.stat.purdue.edu)
Date: 07/29/04


Date: 29 Jul 2004 13:33:42 -0500

In article <rieab52unevv@legacy>, Arike A. <adexby@yahoo.com> wrote:
>Hello,

>I wonder if there is any existing statistical software for
>implementing K-S and A-D goodness of fit test for fitted phase-type
>distribution. If there is none, how do I go about implementing these
>goodness of fit tests on fitted phase-type distribution.

>Thanks.

The K-S and A-D tests are not distribution free for
fitted parameters, and there are few cases in which
even the asymptotic distribution can be calculated
in closed form at the present times; most common
situations, as normal, do not belong to that class.

Unless it is one of the few which have been done,
you will have to use simulation on the distribution.
There are things which can be done to reduce the
work to simulate the tails, but these are also not
simple to describe.

-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu         Phone: (765)494-6054   FAX: (765)494-0558


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