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Article

Title: On consistency of the MLE (English)
Author: Rublík, František
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 31
Issue: 1
Year: 1995
Pages: 45-64
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Category: math
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MSC: 62B99
MSC: 62F10
MSC: 62F12
idZBL: Zbl 0858.62022
idMR: MR1324660
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Date available: 2009-09-24T18:53:24Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/125188
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Reference: [1] R. H. Berk: Consistency and asymptotic normality of mle's for exponential models.Ann. Math. Statist. 43 (1972), 103-204. Zbl 0253.62005, MR 0298810
Reference: [2] P. Billingsley: Statistical Inference for Markov Processes.The University of Chicago Press, Chicago 1961. Zbl 0106.34201, MR 0123419
Reference: [3] L. Fahrheimer: Maximum likelihood estimation in misspecified generalized linear models.Statistics 21 (1990), 487-502. MR 1087280
Reference: [4] R. V. Foutz, R. C. Srivastava: Statistical inference for Markov processes when the model is incorrect.Adv. in Appl. Probab. 11 (1979), 737-749. Zbl 0426.62060, MR 0544193
Reference: [5] V. Jarník: Diferenciální počet II.ČSAV, Prague 1956 (in Czech).
Reference: [6] J. L. Kelley: General Topology.van Nostrand, Princeton 1968. Zbl 0157.53002, MR 0239550
Reference: [7] E. L. Lehmann: Testing statistical hypotheses.Wiley & Sons, New York 1959. Zbl 0089.14102, MR 0107933
Reference: [8] T. Makelainen K. Schmidt, and G. P. Styan: On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples.Ann. Statist. 9 (1981), 758-767. MR 0619279
Reference: [9] L. Schmetterer: Introduction to Mathematical Statistics.Springer Verlag, Berlin 1974. Zbl 0295.62001, MR 0359100
Reference: [10] M. S. Srivastava, C. G. Khatri: Introduction to Multivariate Statistics.North Holland, New York 1979. Zbl 0421.62034, MR 0544670
Reference: [11] A. Wald: Note on the consistency of the maximum likelihood estimate.Ann. Math. Statist. 20 (1949), 595-601. Zbl 0034.22902, MR 0032169
Reference: [12] H. White: Maximum-likelihood estimation of misspecified models.Econometrica 50 (1982), 1-25. Zbl 0478.62088, MR 0640163
Reference: [13] H. White: Maximum likelihood estimation of misspecified dynamic models.In: Mis-specification analysis (T. Dijkstra, ed.), Lecture Notes in Econom. and Math. Systems 237, Springer Verlag, Berlin-New York 1984, pp. 1-19. Zbl 0577.62090, MR 0791952
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