Probability Theory and Mathematical Statistics : : Proceedings of the Fifth Vilnius Conference, June 25–July 1, 1989. / Vol. 1 / / ed. by B. Grigelionis, Yu. V. Prohorov, V. V. Sazonov, V. Statulevičius.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Accardi, L.,; Aivazyan, S.A.,; Aleškevičienė, A.K.,; Amosova, N.N.,; Arak, T.,; Ayupov, Sh.A.,; Barchielli, A.,; Belavkin, V.P.,; Belopolskaya, Ya.I.,; Bendikov, A.D.,; Berman, S.M.,; Blagoveschensky, Yu.N.,; Bleher, P.M.,; Bogachev, V.I.,; Borisov, I.S.,; Borovkov, A.A.,; Brémaud, P.,; Buldygin, V.V.,; Bulinskii, A.V.,; Chebotarev, A.M.,; Csáki, E.,; Daletsky, Yu.L.,; Davydov, Yu.A.,; Denisov, L.V.,; Dmitrovskii, V.A.,; Dzhaparidze, K.,; Efimov, G.V.,; Egorov, V.A.,; Embrechts, P.,; Ermakov, M.S.,; Fernique, X.,; Fleischmann, K.,; Fomenko, A.T.,; Frolovichev, S.M.,; Funaki, T.,; Gang, Lu Yun,; Gaposhkin, V.F.,; Giraitis, L.,; Girko, V.L.,; Godovan’chuk, V.V.,; Goncharuk, N.Yu.,; Grigelionis, B.,; Grishechkin, S.A.,; Gupta, A.K.,; Gurevich, B.M.,; Gushchin, A.A.,; Gut, A.,; Harlamov, B.P.,; Holevo, A.S.,; Hudson, R.L.,; Ignatiuk, I.A.,; Ingster, Yu.I.,; Iosifescu, M.,; Kaimanovich, V.A.,; Kalashnikov, V.V.,; Kelbert, M.Y.,; Khametov, V.M.,; Kharin, Yu.,; Klebanov, L.B.,; Kolchinsky, V.I.,; Koldobskii, A.L.,; Kollo, T.,; Lupieri, G.,; Major, P.,; Malyshev, V.A.,; Medvedev, A.,; Meshalkin, L.D.,; Nosovskii, G.V.,; Rosenblatt, J.M.,; Sidoravičius, V.,; Solntsev, S.A.,; Steblovskaya, V.R.,; Suhov, Y.M.,; Surgailis, D.,; Valkeila, E.,; Vinogradov, V.V.,; Zinger, A.A.,; Čekanavičius, V.,
• HerausgeberIn: Grigelionis, B.,; Prohorov, Yu. V.,; Sazonov, V. V.,; Statulevičius, V.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©1990
• Year of Publication: 2020
• Edition: Reprint 2020
• Language: English
• Series: Probability Theory and Mathematical Statistics ; Vol. 1
• Physical Description: 1 online resource (VI, 646 p.) :; Num. fig.

Table of Contents

Frontmatter -- Contents -- Preface -- The low density limit and the quantum Poisson process -- Systems assisting in gathering and analysis of statistical data and adjustable to subject domains -- On the maximum of sums of random variables and the supremum for stable processes -- On the necessity of Cramér's condition in local limit theorems -- Markov random graphs and polygonal fields with Y-shaped nodes -- Probability measures on quantum logics and a non-commutative Choquet theory -- Convolution semigroups of instruments in quantum probability -- Stochastic posterior equations for quantum nonlinear filtering -- Diffusions and parabolic equations in principal bundles -- On Markov processes associated with a projective sequence of harmonic spaces -- Estimation of the tail of the spectral distribution by means of high level sojourn times -- Renormalization of Dyson's vector-valued hierarchical model at low temperatures -- Analitic functionals of stochastic processes and infinite dimensional oscillatory integrals -- Exponential inequalities for the distributions of von Mises and U-statistics -- Ergodicity and stability of Markov chains and of their generalizations. Multidimensional chains -- Event and time averages: The stationary case and the nonstationary case -- On the convergence of sums of independent random vectors normed by matrices -- CLT for families of integral functionals arising in solving the multidimensional Burgers Equation -- The Theory Of Dynamical Semigroups And Its Applications -- An approximation of integer-valued measures by generalized Poisson measures -- Lim inf results for the standardized empirical distribution function -- The smooth measures in Banach spaces and their smooth mappings -- Local invariance principle for i.i.d. random variables -- Conditionally positive definite functions on the coefficient algebra of a nonabelian group -- On the integrability of the maximum and the local properties of Gaussian fields -- On large deviation probabilities for the maximum likelihood estimators -- Functional integrals, a variational method and some problems of stochastical physics -- The law of the iterated logarithm and order statistics -- Martingales in non-life insurance -- Asymptotic Minimaxity Of Usual Goodness Of Fit Tests -- Les fonctions aléatoires à valeurs dans les espaces lusiniens et leurs modifications régulières -- Critical branching caused by interaction with point catalysts -- Statistical analysis and dating of the observations on which Ptolomy's "Almagest" star catalogue is based -- Global asymptotics of solutions of the first and second boundary value problems for Kolmogorov equation with small diffusion -- Hydrodynamic limit for Ginzburg—Landau type continuum model -- Almost everywhere limit convergence of subsequences of powers -- On shot noise processes with long range dependence -- G-estimates of eigen-values of covariance matrices -- On large deviations for trimmed sums of independent random variables -- Random operator functions defined by stochastic differential equations -- Hellinger integrals and Hellinger processes for solutions of martingale problems -- On connection between the theory of branching processes and queueing theory -- Estimation Of Manova Eigenvalues -- On joint distributions of random elements with given mutual conditional distributions -- Improvement and generalization of Cramér—Rao inequality for a filtered space -- Limit Theorems For Record Times -- On statistics of continuous Markov processes: semi- Markov approach -- Quantum stochastic flows -- Convergence Of The Stochastic Quantization Method -- Adaptive tests for minimax testing of nonparametic hypotheses -- A survey of the metric theory of continued fractions, fifty years after Doeblin's 1940 paper -- Boundary and entropy of random walks in random environment -- Non-linear law of large numbers and Gaussian fluctuation for star-like networks -- Asymptotic solution of inverse Kolmogorov equation for diffusion processes with small diffusion -- Asymptotic robustness of discriminant procedures for dependent and non-homogeneous observations -- Characterization of distributions: problems, methods, applications -- The entropy order of operators and limit theorems in Banach spaces -- Inverse problem for potentials of measures in Banach spaces -- Investigation of the convergence of functions of sample means and covariances to limit distributions