On the Weak Convergence of an Empirical Estimator of the Discrete-Time Semi-Markov Kernel

作者: Stylianos Georgiadis , Nikolaos Limnios

DOI: 10.1007/978-1-4614-4109-0_14

关键词: Consistent estimatorMinimum-variance unbiased estimatorMarkov kernelConvergence testsMathematicsApplied mathematicsEstimatorMinimax estimatorWeak convergenceKernel (statistics)

摘要: In this chapter, we consider the discrete-time semi-Markov processes with finite state space and empirical estimator of kernel. The basic definitions concerning are presented. We study weak convergence Next, present corresponding theorem for some related measures. proofs our results based on semimartingales.

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