@article{TVP_2013_58_4_a11,
author = {E. A. Feinberg and P. O. Kasyanov and N. V. Zadoianchuk},
title = {Fatou's lemma for weakly converging probabilities},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {812--818},
year = {2013},
volume = {58},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2013_58_4_a11/}
}
TY - JOUR AU - E. A. Feinberg AU - P. O. Kasyanov AU - N. V. Zadoianchuk TI - Fatou's lemma for weakly converging probabilities JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2013 SP - 812 EP - 818 VL - 58 IS - 4 UR - http://geodesic.mathdoc.fr/item/TVP_2013_58_4_a11/ LA - en ID - TVP_2013_58_4_a11 ER -
E. A. Feinberg; P. O. Kasyanov; N. V. Zadoianchuk. Fatou's lemma for weakly converging probabilities. Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 4, pp. 812-818. http://geodesic.mathdoc.fr/item/TVP_2013_58_4_a11/
[1] Billingsli P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977, 362 pp.
[2] Berberian S. K., Fundamentals of Real Analysis, Springer-Verlag, New York, 1999, 479 pp.
[3] Feinberg E. A., Kasyanov P. O., Zadoianchuk N. V., “Average cost Markov decision processes with weakly continuous transition probabilities”, Math. Oper. Res., 37:4 (2012), 591–607 | DOI
[4] Jaskiewicz A., Nowak A. S., “Zero-sum ergodic stochastic games with Feller transition probabilities”, SIAM J. Control Optim., 45:3 (2006), 773–789 | DOI | Zbl
[5] Royden H. L., Real Analysis, 2nd ed., Macmillan, New York, 1968
[6] Schäl M., “Average optimality in dynamic programming with general state space”, Math. Oper. Res., 18:1 (1993), 163–172 | DOI | Zbl
[7] Serfozo R., “Convergence of Lebesgue integrals with varying measures”, Sankhya: Ser. A, 44:3 (1982), 380–402 | Zbl
[8] Shiryaev A. N., Veroyatnost, 2-e izd., MTsNMO, M., 2012, 580 pp.