Improved estimators for constrained Markov chain models
Suppose we observe an ergodic Markov chain and know that the stationary law of one or two successive observations fulfills a linear constraint. We show how to improve the given estimators exploiting this knowledge, and prove that the best of these estimators is efficient.
Year of publication: |
2001
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Authors: | Müller, Ursula U. ; Schick, Anton ; Wefelmeyer, Wolfgang |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 54.2001, 4, p. 427-435
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Publisher: |
Elsevier |
Keywords: | Empirical estimator Asymptotically linear estimator Influence function Regular estimator Markov chain model Reversible chain Symmetric chain Linear autoregression |
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