It is shown that any discrete distribution yith non-negative support has a representation in terms of an extended Poisson process (or pure birth process). A particular extension of the simple Poisson process is proposed: one that admits a variety of distributions; the equations for such processes ma
Modelling and analysis of count data using a renewal process
β Scribed by M.J. Faddy
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 222 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
The Poisson process may be generalised by an ordinary renewal process with the times between renewals following a gamma distribution. Over-(under-) dispersion of the distribution of the number of renewals relative to the Poisson distribution is the result, according as the coefficient of variation of this gamma distribution is > 1 ( < 1 ). This distribution of the number of renewals is then applied to analyse some data on seizure counts of epileptics.
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