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Statistica Sinica 3(1993), 53-66


STATISTICAL INQUIRY FOR MARKOV CHAINS

BY BOOTSTRAP METHOD


C. D. Fuh


Academia Sinica


Abstract: In this paper, we propose several different bootstrap algorithms, to get approximate confidence intervals for the parameters of an ergodic Markov chain, each of which can have k possible outcomes. Small-sample comparisons are used to select the best intervals for different parameters. An illustrative example which analyzes a farmers' tenure behavior pattern data set of Taiwan is given.



Key words and phrases: Bootstrap, hitting time, Markov chain, stationary distribution, transition probability.



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