𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Markov death process modelling and analysis of binary data

✍ Scribed by M.J. Faddy

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
271 KB
Volume
40
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis

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 generalisations of the binomial distribution. Such modelling is illustrated with reference to published data-sets on surviving foetuses in animal pregnancies, where models are constructed which fit the data reasonably well and offer useful interpretations in terms of the actual process of foetal death. (~

πŸ“œ SIMILAR VOLUMES

Markov process modelling and analysis of
Markov process modelling and analysis of discrete data
✍ Faddy, M. J. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 84 KB πŸ‘ 2 views

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

Extended Poisson Process Modelling and A
Extended Poisson Process Modelling and Analysis of Count Data
✍ M. J. Faddy πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 463 KB πŸ‘ 2 views

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 usi
Modelling and analysis of count data using a renewal process
✍ M.J. Faddy πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 222 KB

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