Title :
A note on jump-type Fleming-Viot processes
Author :
Fragoso, Marcelo D. ; Da Silva, Telles T.
Author_Institution :
Nat. Lab. for Sci. Comput., LNCC/CNPq, Rio de Janeiro, Brazil
Abstract :
In 1979 Fleming and Viot (1979) introduced a new class of Markov processes which had for state space a set of probability measures. This process was called the Fleming-Viot process. It models the evolution of the distribution of genetic types (alleles) in a population regarding the contribution of both mutation and selection. The aim in this paper is to obtain a jump-type Fleming-Viot process which also includes selection. This extension will follow by the use of a Girsanov transformation and duality.
Keywords :
Markov processes; state-space methods; stochastic systems; Girsanov transformation; Markov processes; genetic types; jump-type Fleming-Viot processes; probability measures; state space; Brazil Council; Filtration; Genetic mutations; Intrusion detection; Laboratories; Markov processes; Sampling methods; State-space methods; Topology; Yttrium;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429402
