An asymptotic formula for the Neyman-Pearson risk in discriminating between two Markov chains

Journal of Mathematical Sciences

Volumn 111, Issue 3, 2002, Pages 3582-3591

  Nagaev, A V ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52649121951     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1023/A:1016151602853     Document Type: Article

References (9)

1. A. A. Borovkov and A. A. Mogulskii, "Large deviations and testing statistical hypotheses. II. Large deviations of maximum points of random fields," Sib. Adv. Math., 2, No. 4, 43-72 (1992).
2. A. A. Borovkov and A. A. Mogulskii, "Large deviations and testing statistical hypotheses. III. Asymptotically optimal tests for composite hypotheses," Sib. Adv. Math., 3, No. 1, 19-86 (1993).
3. A. Dembo and O. Zeitouni, Large Deviation Techniques and Applications, Jones and Bartlett Press, Boston-London (1993).
4. J. L. Doob, Stochastic Processes, Wiley, New York (1953).
5. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge Univ. Press, Cambridge (1986).
6. A. Nagaev, Limit Theorems under Testing Hypotheses, UMK, Toruń (1996).
7. S. Kh. Sirazhdinov and S. K. Formanov, Limit Theorems for Sums of Random Vectors Connected in a Markov Chain [in Russian], FAN, Tashkent (1979).
8. P. Scheffel and H. Weizsäcker, "On risk rates and large deviations in finite Markov chain experiments," Math. Meth. Statist., 6, No. 3, 293-312 (1997).
9. Z. Szewczak, Remark on a Large Deviation Theorem for a Markov Chain with a Finite Number of States, Preprint, Faculty of Math. and Informatics, UMK, Toruń (2000).