@article{SPS_1997__31__126_0, author = {Galtchouk, Leonid I. and Novikov, Alexandre A.}, title = {On {Wald's} equation. {Discrete} time case}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, pages = {126--135}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {31}, year = {1997}, mrnumber = {1478723}, zbl = {0882.60040}, language = {en}, url = {http://archive.numdam.org/item/SPS_1997__31__126_0/} }
TY - JOUR AU - Galtchouk, Leonid I. AU - Novikov, Alexandre A. TI - On Wald's equation. Discrete time case JO - Séminaire de probabilités de Strasbourg PY - 1997 SP - 126 EP - 135 VL - 31 PB - Springer - Lecture Notes in Mathematics UR - http://archive.numdam.org/item/SPS_1997__31__126_0/ LA - en ID - SPS_1997__31__126_0 ER -
%0 Journal Article %A Galtchouk, Leonid I. %A Novikov, Alexandre A. %T On Wald's equation. Discrete time case %J Séminaire de probabilités de Strasbourg %D 1997 %P 126-135 %V 31 %I Springer - Lecture Notes in Mathematics %U http://archive.numdam.org/item/SPS_1997__31__126_0/ %G en %F SPS_1997__31__126_0
Galtchouk, Leonid I.; Novikov, Alexandre A. On Wald's equation. Discrete time case. Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 126-135. http://archive.numdam.org/item/SPS_1997__31__126_0/
Sur l'intégrabilitée uniforme des martingales continues. Séminaire de Probabilités XIV, Lecture Notes in Mathematics, 784, 53-61, Springer-Verlag, Berlin. | Numdam | MR | Zbl
), ), ) (1979).Extrapolation and interpolation of quasilinear operators on martingales. Acta Math., 124, 249-304. | MR | Zbl
), ) (1970).Optional martingales. Mathematical Sbornik, 112 (154), N 4 (8), 483 - 521 (English translation :(1981) Vol.40, N4, 435-468). | MR | Zbl
) (1980).On a theorem of F. and M.Riesz and an equation of A.Wald. Indiana Univ.Math.Journal, 30(4), 589-605. | MR | Zbl
) (1981).An Introduction to Probability Theory and Its Applications, vol. 2, Wiley, New York. | MR | Zbl
(1971).Asymptotic comparisons of functionals of Brownian Motion and Random Walk. Ann. Prob., 8, N6)), 1135-1147. | MR | Zbl
) (1980).A best possible improvement of Wald's equation. Ann.prob., 16, N2, 840-853. | MR | Zbl
) (1988).Theory of Martingales, Kluwer Academic Publ. | MR
), ) (1986).Martingales and Stochastic Integrals I. Lecture Notes in Mathematics, 284, Springer-Verlag. | MR | Zbl
) (1972).On the moment of stopping of a Wiener process. Teor. Veroythn. Primen., 16, N3, 458-465 (English translation : pp.449- 456). | MR | Zbl
) (1971).A martingale approach to first passage problems and a new condition for Wald's identity. Proc.of the 3rd IFIP-WG 7/1 Working Conf.,Visegrad 1980,Lecture Notes in Control and Inf.Sci. 36, 146-156. | MR | Zbl
) (1981a).Martingale approach to first passage problems of nonlinear boundaries. Proc.Steklov Inst. 158, 130-158. | MR | Zbl
) (1981b).On the time of crossing of a one-sided nonlinear boundary. Theor.Prob. Appl., 27, N4, 668 - 702 (English translation). | MR | Zbl
) (1982).Inequalities for tails of adapted processes with an application to Wald's lemma. J. of Theoretic Prob., 6, N2, 285-302. | MR | Zbl
) (1993).Sur la loi du maximum et du temps local d'une martingale continue uniformément intégrable. Preprint, Université de Paris VI. | MR
) (1991). ) (1947).