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On optimality of the LR tests in the sense of exact slopes. I. General case
Kybernetika, Tome 25 (1989) no. 1, pp. 13-25 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 62F03, 62F10, 62F12, 62H12, 62L10 
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Rublík, František. On optimality of the LR tests in the sense of exact slopes. I. General case. Kybernetika, Tome 25 (1989) no. 1, pp. 13-25. http://geodesic.mathdoc.fr/item/KYB_1989_25_1_a1/

[1] R. R. Bahadur: Stochastic comparison of tests. Ann. Math. Statist. 31 (1960), 276-295. | MR | Zbl

[2] R. R. Bahadur: An optimal property of the likelihood ratio statistic. In: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, pp. 13-26. University of California Press, Berkeley and Los Angeles 1967. | MR | Zbl

[3] R. R. Bahadur: Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38 (1967), 303-324. | MR | Zbl

[4] R. R. Bahadur: Some Limit Theorems in Statistics. SIAM, Philadelphia 1971. | MR | Zbl

[5] R. R. Bahadur, M. Raghavachari: Some asymptotic properties of likelihood ratios on general sample spaces. In: Proceedings of the Sixth Berkeley Sympsium on Mathematical Statistics and Probability, pp. 129-152. University of California Press, Berkeley and Los Angeles 1972. | MR | Zbl

[6] R. V. Foutz, R. C. Srivastava: The performance of the likelihood ratio test when the model is incorrect. Ann. Statist. 5 (1977), 1183-1194. | MR | Zbl

[7] H. K. Hsieh: On asymptotic optimality of likelihood ratio tests for multivariate normal distributions. Ann. Statist. 7 (1979), 592-598. | MR | Zbl

[8] N. L. Johnson, S. Kotz: Continuous Univariate Distributions, Volume 1. J. Wiley and Sons, New York 1970.

[9] J. A. Koziol: Exact slopes of multivariate tests. Ann. Statist. 6 (1978), 546-557. | MR

[10] M. Raghavachari: On a theorem of Bahadur on the rate of convergence of test statistics. Ann. Math. Statist. 41 (1970), 1695-1699. | MR | Zbl

[11] C. R. Rao: Linear Statistical Inference and Its Applications. J. Wiley and Sons, New York 1973. | MR | Zbl