Remarks on conditional moments of the free deformed Poisson random variables

Wiktor Ejsmont. "Remarks on conditional moments of the free deformed Poisson random variables." Banach Center Publications 96.1 (2011): 135-145. <http://eudml.org/doc/282184>.

@article{WiktorEjsmont2011,
abstract = {We will show that the conditional first moment of the free deformed Poisson random variables (q = 0) corresponding to operators fulfilling the free relation is a linear function of the regression and the conditional variance also is a linear function of the regression. For this purpose we will first demonstrate some properties of the Wick product and then we will concentrate on the free deformed Poisson random variables.},
author = {Wiktor Ejsmont},
journal = {Banach Center Publications},
keywords = {conditional moments; conditional expectation; free deformed Poisson random variables},
language = {eng},
number = {1},
pages = {135-145},
title = {Remarks on conditional moments of the free deformed Poisson random variables},
url = {http://eudml.org/doc/282184},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Wiktor Ejsmont
TI - Remarks on conditional moments of the free deformed Poisson random variables
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 135
EP - 145
AB - We will show that the conditional first moment of the free deformed Poisson random variables (q = 0) corresponding to operators fulfilling the free relation is a linear function of the regression and the conditional variance also is a linear function of the regression. For this purpose we will first demonstrate some properties of the Wick product and then we will concentrate on the free deformed Poisson random variables.
LA - eng
KW - conditional moments; conditional expectation; free deformed Poisson random variables
UR - http://eudml.org/doc/282184
ER -