𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Statistical properties of several models of fractional random point processes

✍ Scribed by C. Bendjaballah


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
533 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis


Statistical properties of several models of fractional random point processes have been analyzed from the counting and time interval statistics points of view. Based on the criterion of the reduced variance, it is seen that such processes exhibit nonclassical properties. The conditions for these processes to be treated as conditional Poisson processes are examined. Numerical simulations illustrate part of the theoretical calculations.


πŸ“œ SIMILAR VOLUMES


Statistical Analysis of Spatial Point Pr
✍ Dr. D. Stoyan πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 497 KB πŸ‘ 1 views

This paper suggeate correlation characteristics for marked point proceseee with two marks for each point and describes statistical methods for their estimation. Ite use is demonstrated by means of an example, where the points are locations of pine saplings, and the marks are their heighte and ages.

Moments and order statistics of extincti
✍ B.M. PoΒ¨tscher πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 692 KB

We investigate the circumstancesunder which the moments of the order statistics of the extinction times of a set of independent branching processes exist. This extends a result of Schuster and Sigmund, Bull. math. Biol. 46, 1 l-1 7, 1984, which was found in a special random selection model. Furtherm