Inverse Problem of a Class of Discrete Time Phase-Type Distribution
Nie Pan-hong
Abstract
Nie Pan-hong
Abstract
The paper studies the inverse problem of discrete time phase-type distribution from the conditional distribution vector sequence.Under knowing the conditional distribution vector sequence of Markov chain’s first arrival time,this paper determines the transient state transfer matrix by means of matrix analysis.
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The paper studies the inverse problem of discrete time phase-type distribution from the conditional distribution vector sequence.Under knowing the conditional distribution vector sequence of Markov chain’s first arrival time,this paper determines the transient state transfer matrix by means of matrix analysis.
Key concepts: Discrete phase-type distribution, Phase-type distribution, Markov chain, Mathematics, Sequence (biology), Distribution (mathematics), Inverse, Conditional probability distribution