References
Billingsley, P. (1961).Statistical Inference for Markov Processes, The University of Chicago Press.
Billingsley, P. (1961). The Lindeberg-Levy theorem for martingales,Proc. Amer. Math. Soc.,12, 788–792.
Daniels, H. (1961). The asymptotic efficiency of a maximum likelihood estimator,Proc. Fourth Berkerley Symp. Math. Statist. Prob.,1, 151–163.
Doob, J. L. (1953).Stochastic Processes, Wiley, New York.
Huber, P. J. (1967). The behavior of maximum likelihood estimates under nonstandard conditions,Proc. Fifth Berkeley Symp. Math. Statist. Prob.,1, 221–233.
Ibragimov, I. A. (1963). A central limit theorem for a class of dependent random variables,Theory of Prob. and Appl.,8, 83–89.
Loeve, M. (1963).Probability Theory, Von Nostrand, Princeton.
Prakasa Rao, B. L. S. (1968). Estimation of the location of the cusp of a continuous density,Ann. Math. Statist.,39, 76–87.
Roussas, G. G. (1965). Extension to Markov Processes of a result by A. Wald about consistency of the maximum likelihood estimate,Z. Wahrscheinlichkeitstheorie Verw. Geb.,4, 69–73.
Roussas, G. G. (1965). Asymptotic inference in Markov Processes,Ann. Math. Statist.,36, 978–992.
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Prakasa Rao, B.L.S. Maximum likelihood estimation for Markov processes. Ann Inst Stat Math 24, 333–345 (1972). https://doi.org/10.1007/BF02479763
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DOI: https://doi.org/10.1007/BF02479763