A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
This chapter gathers miscellaneous basic concepts and tools in probability calculus that are useful for further analyzing constructs of the non‐homogeneous birth process (NHBP), and as a particular case, the linearly extended Yule process (LEYP). The main covered topics here are the Yule process, the negative binomial distribution and its multinomial generalization, the gamma function and gamma distribution, and the negative binomial and multinomial power series. The Yule process, also frequently called pure birth process, has since become a classical model in stochastic process theory. It was presented as a simple model of the temporal growth of a population, initially composed of a single founder, and within which individuals reproduce at the constant rate λ> 0 and have a null mortality rate. The negative binomial distribution generalizes two random trials with more than two possible outcomes, to give the so‐called negative multinomial distribution.
This chapter gathers miscellaneous basic concepts and tools in probability calculus that are useful for further analyzing constructs of the non‐homogeneous birth process (NHBP), and as a particular case, the linearly extended Yule process (LEYP). The main covered topics here are the Yule process, the negative binomial distribution and its multinomial generalization, the gamma function and gamma distribution, and the negative binomial and multinomial power series. The Yule process, also frequently called pure birth process, has since become a classical model in stochastic process theory. It was presented as a simple model of the temporal growth of a population, initially composed of a single founder, and within which individuals reproduce at the constant rate λ> 0 and have a null mortality rate. The negative binomial distribution generalizes two random trials with more than two possible outcomes, to give the so‐called negative multinomial distribution.
Preliminaries
Le Gat, Yves (author)
2015-12-30
10 pages
Article/Chapter (Book)
Electronic Resource
English
| Wiley | 2020
| Springer Verlag | 2024
Planning without Preliminaries
| Taylor & Francis Verlag | 1988