Extended Poisson process modelling and analysis of grouped binary data
โ Scribed by Malcolm J. Faddy; David M. Smith
- Book ID
- 112009745
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 492 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
It is shown that any discrete distribution with finite support has a representation in terms of a general Markov death process with transition rates #i (i/> 0), the binomial distribution corresponding to a linear sequence of these pi. Accordingly, log-linear forms for #i/i will provide generalisatio
It is shown that any discrete probability distribution with non-negative support can be represented as a generalized Poisson process with state-dependent rates. By looking at empirical estimates of these rate parameters from data, models can be built in terms of an appropriate functional form for th
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 o