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On algebraic representation of stochastic processes
, 1980 Bibliography: p. 49.
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Some Properties of an Algebraic Representation of Stochastic Processes
The Annals of Mathematical Statistics, 1968 Heller's (1965) concept of a stochastic module is examined with the purpose of seeing what are the algebraic implications of various probabilistic properties of discrete time, finite state processes. $k$th order Markovity, recurrence, stationarity, and ergodicity are given characterizations in terms of the stochastic module.
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Some aspects of statistical causality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaCausal thinking is deeply embedded in scientific understanding of the problems of applied statistics. This can not always be done by experiments and the researcher is restricted to observing the system he wants to describe.
Petrović Ljiljana
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Numerically Representing A Stochastic Process Algebra
CoRR, 2010 The syntactic nature and compositionality characteristic of stochastic process algebras make models to be easily understood by human beings, but not convenient for machines as well as people to directly carry out mathematical analysis and stochastic simulation.
Jie Ding, Jane Hillston
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A unified approach of catastrophic events [PDF]
Natural Hazards and Earth System Sciences, 2004 Although there is an accumulated charge of theoretical, computational, and numerical work, like catastrophe theory, bifurcation theory, stochastic and deterministic chaos theory, there is an important feeling that these matters do not completely cover ...
S. Nikolopoulos +3 more
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Existence of Measurable Versions of Stochastic Processes
AxiomsLet (X,A,P), (Y,B,Q) be two arbitrary probability spaces and P:={(A,Py):y∈Y} be a regular conditional probability (rcp) on A with respect to Q. Denote by R the skew product of P and Q determined by P on the product σ-algebra A⊗B and by R^ its completion.
Kazimierz Musiał
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Splitting of Conditional Expectations and Liftings in Product Spaces II
AxiomsLet (X,A,P) and (Y,B,Q) be two probability spaces, R be their skew product on the product σ-algebra A⊗B and {(Ay,Sy):y∈Y} be a Q-disintegration of R. Then, let A⋇B be the σ-algebra generated A⊗B and by the family M:={E⊂X×Y:∃N∈B0∀y∉NSy^(Ey)=0} and R⋇ be ...
Kazimierz Musiał
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On Algebraic representation of general stochastic processes
, 1986 Bibliography: p.138-139.
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Compositional solution of stochastic process algebra models.
, 2002 This dissertation is about the solution of Markovian stochastic process algebra (SPA) models and the avoidance of the state-space explosion problem. We try to answer the question whether the compositionality of SPA models can be exploited to overcome the largeness problems appearing when evaluating such models.
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