Geodesic
Estimates of Hellinger integrals of infinitely divisible distributions
Kybernetika, Tome 23 (1987) no. 3, pp. 227-238

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Classification : 26A39, 60A10, 60B10, 60E07, 60E99, 62M99 
Liese, Friedrich. Estimates of Hellinger integrals of infinitely divisible distributions. Kybernetika, Tome 23 (1987) no. 3, pp. 227-238. http://geodesic.mathdoc.fr/item/KYB_1987_23_3_a3/
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     mrnumber = {900332},
     zbl = {0638.60002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1987_23_3_a3/}
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[1] H. Chernoff: A measure of efficiency for tests of a hypothesis based on sum of observations. Ann. Math. Statist. 23 (1952), 493-507. | MR

[2] J. Csiszar: Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizitat von Markoffschen Ketten. Magyar Tud. Akad. Mat. Kutato Int. Közl. 8 (1964), 85-108. | MR

[3] J. Csiszar: Information type measures of difference of probability distributions. Stud. Sci. Math. Hungar. 2 (1967), 229-318. | MR | Zbl

[4] I. I. Gichman, A. B. Skorochod: Theory of Stochastic Processes (in Russian). Nauka, Moscow 1973.

[5] P. Groneboom J. Ooslerhoff, F. H. Ruymgaart: Large deviation theorems for empirical probability measures. Ann. Probab. 7 (1979), 553 - 586. | MR

[6] J. Kerstan K. Matthes, J. Mecke: Unbegrenzt teilbare Punktprozesse. Akademie Verlag, Berlin 1974. | MR

[7] O. Krafft, D. Plachky: Bounds for the power of likelihood ratio tests and their asymptotic properties. Ann. Math. Statist. 41 (1970), 5, 1646-1654. | MR | Zbl

[8] C. M. Newman: On the orthogonality of independent increment processes. In: Topics in Probability Theory (D. W. Strock, S. R. S. Varadhan, eds.). Courant Institute of Mathematical Sciences, N. Y. U. 1973, pp. 93-111. | MR | Zbl

[9] J. V. Prokhorov: Convergence of stochastic processes and limit theorems of probability theory (in Russian). Prob. Theory and Applic. 1, (1956) 177-237.

[10] A. Renyi: On measures of entropy and information. In: Proc. 4th Berkeley Symposium Vol. 1, Berkeley, California 1961, pp. 547-561. | MR | Zbl

[11] I. Vajda: Limit theorems for total variation of Cartesian product measures. Stud. Sci. Math. Hungar. 6 (1973), 317-333. | MR

[12] I. Vajda: On the $f$-divergence and singularity of probability measures. Period. Math. Hungar. 2 (1972), 223-234. | MR | Zbl