6533b7d2fe1ef96bd125e227
RESEARCH PRODUCT
Bartlett formalism generating functions and Z-transforms in fluctuation and noise theory
R. ConversanoM. CirilloL. MagriC. TrozziN. PacilioC. NapolitanoV. ViolanteMichele CiofaloR. Vaccarosubject
Generating FunctionPopulation DynamicBartlett formalismMoment-generating functionNoise TheoryConvolution of probability distributionsAlgebra of random variablesStochastic ProceNuclear Energy and EngineeringProbability theoryJoint probability distributionCalculusApplied mathematicsProbability distributionRandom variableSettore ING-IND/19 - Impianti NucleariLaw of the unconscious statisticianMathematicsdescription
Abstract “La theorie des fonctions generatrices s'adapte elle meme et avec la plus grande generalite aux questions des probabilite les plus difficiles.” (Laplace, 1812) “An important part of probability theory consists of the derivation of the probability distribution of the sum of n random variables, each of which obeys a given probability law, and the development of asymptotic forms of these distributions valid for increasing n. Probability generating functions owe their dominant position to the simplification they permit to both problems. Their employment to obtain the successive moments of a probability distribution and to solve the difference equations of probability theory is ancillary to their chief use in connexion with sums of random variables.” (Seal, 1949)
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1983-01-01 | Annals of Nuclear Energy |