# The set of probability distribution solutions of a linear functional equation

Annales Polonici Mathematici (2008)

- Volume: 93, Issue: 3, page 253-261
- ISSN: 0066-2216

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topJanusz Morawiec, and Ludwig Reich. "The set of probability distribution solutions of a linear functional equation." Annales Polonici Mathematici 93.3 (2008): 253-261. <http://eudml.org/doc/280708>.

@article{JanuszMorawiec2008,

abstract = {Let (Ω,,P) be a probability space and let τ: ℝ×Ω → ℝ be a function which is strictly increasing and continuous with respect to the first variable, measurable with respect to the second variable. Given the set of all continuous probability distribution solutions of the equation
$F(x) = ∫_\{Ω\} F(τ(x,ω))dP(ω)$
we determine the set of all its probability distribution solutions.},

author = {Janusz Morawiec, Ludwig Reich},

journal = {Annales Polonici Mathematici},

keywords = {integro-functional equations; probability distribution functions},

language = {eng},

number = {3},

pages = {253-261},

title = {The set of probability distribution solutions of a linear functional equation},

url = {http://eudml.org/doc/280708},

volume = {93},

year = {2008},

}

TY - JOUR

AU - Janusz Morawiec

AU - Ludwig Reich

TI - The set of probability distribution solutions of a linear functional equation

JO - Annales Polonici Mathematici

PY - 2008

VL - 93

IS - 3

SP - 253

EP - 261

AB - Let (Ω,,P) be a probability space and let τ: ℝ×Ω → ℝ be a function which is strictly increasing and continuous with respect to the first variable, measurable with respect to the second variable. Given the set of all continuous probability distribution solutions of the equation
$F(x) = ∫_{Ω} F(τ(x,ω))dP(ω)$
we determine the set of all its probability distribution solutions.

LA - eng

KW - integro-functional equations; probability distribution functions

UR - http://eudml.org/doc/280708

ER -

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