Computer simulation of random variables and vectors with arbitrary probability distribution laws
Victor M. Bogdan, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Lyndon B. Johnson Space Center
National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1981 - Computers - 39 pages
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a e Ru arc sin 2u2 Baire functions basic cones Bogdanowicz Borel function Borel measurable Borel probability characteristic function coincides COMPUTER SIMULATION computeriza computerization G Computing the distribution conditional distribution continuous function Dirac's delta function distribution F distribution function equation exists a Borel F(ai fixed Borel set follows formula F(x func function defined function F Fy(a Halmos ref Hj is Borel Hn(at independent random variables index set integral with respect joint distribution joint probability Kolmogorov's theorem Lebesgue integral Lebesgue measure Lebesgue space Lebesgue summable measure pg measure zero Notice pg-measure zero prering consisting probability distribution probability measure probability pT properties PT(j+l Py(A Radon-Nikodym theorem random process real numbers real random variables sequence side continuous sigma ring simple functions space L(v spectrum tion transition measure transition probability uniform distribution unique v-null set variable a2 vector x)ps(dx xS(j