Probability Theory and Mathematical Statistics : : Proceedings of the Sixth Vilnius Conference, Vilnius, Lithuania, 28 June–3 July, 1993 / / ed. by J. Kubilius, B. Grigelionis, H. Pragarauskas, V. Statulevičius.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Ahmitzyanov, R.R.,; Aksomaitis, A.,; Aleškevičiene, A.,; Ayupov, Sh.A.,; Beznea, L.,; Bloznelis, M.,; Borovkov, A.A.,; Bradley, R.C.,; Chen, Mu-Fa,; Csörgo, M.,; Cödrgo, M.,; Elworthy, K.D.,; Fagnola, F.,; Flytzanis, E.,; Gaenssler, P.,; Girko, V.L.,; Grigelionis, B.,; Gudynas, P.,; Heinkel, B.,; Kalpazidou, S.,; Kanakis, L.,; Klebaner, F.C.,; Klebanov, L.B.,; Kolodii, A.M.,; Koltchinskii, V.,; Korshunov, D.,; Kubilius, K.,; Laurinčkas, A.,; Leipus, R.,; Li, X. -M.,; Lin’kov, Yu.N.,; Malov, S.V.,; Manstavičius, E.,; Nachtergaele, B.,; Nagaev, S.,; Norvaiša, R.,; Orsingher, E.,; Pap, G.,; Paulauskas, V.,; Račkauskas, A.,; Roos, M.,; Schwarz, W.,; Statulevičius, V.,; Stoica, L.,; Szyszkowicz, B.,; Tiit, E.-M.,; Utev, S.A.,; Veretennikov, A.Yu.,; Yadgorov, N.J.,; Ziegler, K.,; Zinger, A.A.,; van der Vaart, A.W.,; Čekanavičius, V.,
• HerausgeberIn: Grigelionis, B.,; Kubilius, J.,; Pragarauskas, H.,; Statulevičius, V.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©1994
• Year of Publication: 2020
• Edition: Reprint 2020
• Language: English
• Physical Description: 1 online resource (VIII, 742 p.)

Table of Contents

Frontmatter -- CONTENTS -- PREFACE -- Large deviations in approximation by Poisson law -- Limits of weak interaction for stochastic particle system -- Rate of convergence in the limit transfer theorem of the maximum and minimum -- Geometry of the state spaces in quantum probability -- From diffusions to processes with jumps -- Central limit theorem in Skorohod spaces and asymptotic strength distribution of fiber bundles -- Ergodicity in a sense of weak convergence, equilibrium-type identities and large deviations for Markov chains -- On second-order properties of mixing random sequences and random fields -- Optimal couplings and application to Riemannian geometry -- Empirical and partial sum processes with sample path in Banach function spaces -- Applications of multi-time parameter processes to change-point analysis -- Bergström-type asymptotic expansions in the first uniform Kolmogorov's theorem -- Differentiation of heat semigroups and applications -- On the realisation of classical Markov processes as quantum flows in Fock space -- Unimodular eigenvalues and invariant probabilities for some classes of linear operators -- On function-indexed partial-sum processes -- Canonical spectral equation for the eigenvalues of empirical covariance matrices -- Conditionally exponential families and Lundberg exponents of Markov additive processes -- On the nonuniform approximation by means of distributions of sums of conditionally independent random variables -- Kolmogorov's strong law of large numbers: the amart point of view -- Cycle processes -- Density-dependent branching processes as randomly perturbed iterations of maps -- Stability of the inverse Radon transform -- On conditions for existence of solutions of integral equations with stochastic line integrals -- Nonlinear transformations of empirical processes: functional inverses and Bahadur-Kiefer representations -- Rate of convergence in the functional central limit theorem for one-dimensional semimartingales -- On limit theorems for the Riemann zeta-function in some spaces -- A posteriori and sequential methods of change-point detection in FARIMA-type time series -- Limit theorems for the local density of measures in the hypotheses testing problems of counting processes -- On the strong independence of sequential ranks -- A proof of the Erdös arcsine law -- Quasi-state decompositions for quantum spin systems -- On accuracy of approximation with stable laws -- Distributions of processes governed by hyperbolic equations when also boundary conditions are assumed -- Central limit theorems on stratified Lie groups -- On the convergence rate in the multi-dimensional martingale CLT -- Stein-Chen method for compound Poisson approximation: the coupling approach -- Some aspects of the development of probabilistic number theory -- Mixture of extremal distributions - a model alternative to the log-linear model -- Infinite-dimensional M-estimation -- On large deviations in averaging principle for systems of stochastic differential equation with unbounded coefficients