Bi-Poisson process

Details Bi-Poisson process Bi-Poisson process

2004-04-13

arxiv.org/abs/math/0404241v1

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 10, No. 2 (2007) 277-291

Mathematics

Probability

12 pages, 2 figures

Scientific paper

10.1142/S0219025707002737

We study a two parameter family of processes with linear regressions and
linear conditional variances. We give conditions for the unique solution of
this problem, and point out the connection between the resulting Markov
processes and the generalized convolutions introduced by Bo\.zejko and
Speicher.

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