Regenerative PhenomenaRegenerative phenomena in discrete time; Regenerative phenomena in continuous time; The theory of p-functions; Sample function properties of regenerative phenomena; Quasi-Markov chains; The markov characterisation problem; Markov processes on general state spaces. |
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Contents
REGENERATIVE PHENOMENA IN DISCRETE | 1 |
REGENERATIVE PHENOMENA IN CONTINUOUS | 26 |
THE THEORY OF pFUNCTIONS | 54 |
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absolutely continuous argument assertion atoms belongs to PM canonical measure chapter compact construction countable defined denote diagonal distribution equation escalator function exists f₁ finite-dimensional distributions Fubini's theorem functions p₁ given Hence identically zero دد implies inequality irreducible Kaluza sequence Kendall Laplace transform Lebesgue measurable lemma lower semicontinuous Markov chain Markov process matrix measure µ non-diagonal non-negative p-function with canonical p(nh p(t₁ p(tn P₁(t phenomena phenomenon with p-function Poisson process polish space positive integers probability measure problem proof of Theorem prove Pt(x quasi-Markov chain random regenerative phenomenon result right-continuous sample functions satisfies 1.2 shows space standard p-function standard p-matrix Statistics stochastic process subset Suppose t₁ t₂ Theorem 6.1 topology transition function transition probabilities u₁ uniquely values variables write θα