Asymptotic normality in multi-dimension of nonparametric estimators for discrete-time semi-Markov chains

Published 8 Apr 2023 in math.ST, math.PR, and stat.TH | (2304.03924v1)

Abstract: The asymptotic normality in multi-dimension of the nonparametric estimator of the transition probabilities of a Markov renewal chain is proved, and is applied to that of other nonparametric estimators involved with the associated semi-Markov chain.

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