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Theorems for a Finite Sequence from a Two-State, First-Order Markov Chain with Stationary Transition Probabilities
Published online by Cambridge University Press: 01 January 2025
Abstract
Various theorems are obtained for N-trial sample sequences from the general two-state, first-order Markov chain with stationary transition probabilities. Four lemmas which facilitate the derivations are given. A brief discussion of applications to binary data, estimation, and evaluation is given, including a maximum-likelihood procedure for estimating transition probabilities which are restricted by inequalities.
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- Copyright © 1966 Psychometric Society
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