Ebook: Probability Theory and Mathematical Statistics: Proceedings of the Fourth USSR - Japan Symposium, held at Tbilisi, USSR, August 23–29, 1982

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Content:
Front Matter....Pages I-VIII
On Logical Foundations of Probability Theory....Pages 1-5
Asymptotic deficiencies of estimators for pooled samples from the same distribution....Pages 6-14
On the use of alternating kernels in nonparametric statistical estimation....Pages 15-25
Differential geometry of statistical inference....Pages 26-40
On the asymptotic behaviour of the tails of infinitely divisible distribution laws....Pages 41-44
Rate of convergence in invariance principle in linear spaces. Application to empirical measures....Pages 45-58
On the rate of convergence in invariance principle....Pages 59-66
Spectral properties of GNS-hamiltonian in quasi-free state....Pages 67-72
Martingale ideology in the theory of controlled stochastic processes....Pages 73-92
Invariant measures for homeomorphisms with almost weak specification....Pages 93-96
A criterion of the uniqueness of gibbsian fields in the non-compact case....Pages 97-110
Stationary and Markov policies in countable state dynamic programming....Pages 111-129
Capacitary maximal inequalities and an ergodic theorem....Pages 130-136
On the estimate of the rate of convergence in the law of iterated logarithm....Pages 137-144
On the pathwise uniqueness Of solutions of stochastic integral equations driven by martingales....Pages 145-152
Spectral theory of nonself-adjoint random matrices....Pages 153-156
Transmission of "television type" signals through a feedback channel....Pages 157-166
On limit theorems for a random number of random variables....Pages 167-176
On contiguity and weak convergence of probability measures....Pages 177-194
On asymptotic efficiency in the presence of an infinitedimensional nuisance parameter....Pages 195-229
Applications of a stochastic inequality to two-dimensional ising and widom-rowlinson models....Pages 230-237
Central limit theorem for a simple interacting diffusion model and s'-valued processes....Pages 238-242
Bounds for generalized uncertainty of the shift parameter....Pages 243-251
Conjugate sets of self-similar Gaussian random fields....Pages 252-256
Regularization of linear random functionals....Pages 257-267
The analysis of continuity of queueing systems....Pages 268-278
Convergence rates in Erd?s-Kac type invariance principle for some stationary sequences....Pages 279-288
Markov processes associated with pseudo-differential operators....Pages 289-298
On embeddings of subshifts of finite type....Pages 299-301
Approximations of deviation fields of some nonparametic statistical estimates by gaussian fields, invariance principles....Pages 302-314
Classical limit theorems for dependent random sequences having moment conditions....Pages 315-319
Analytical methods of pasting together of diffusion processes....Pages 320-326
Limit theorems for Markov random evolutions in the scheme of asymptotic state lumping....Pages 327-332
Limit theorems of hypoelliptic diffusion processes....Pages 333-338
On necessary and sufficient conditions for the convergence of semimartingales....Pages 339-351
Limit behaviour of solutions of stochastic diffusion equations when the convergence of the coefficients is non-regular....Pages 352-354
The phase separations in nearest neighbour interacting system composed of four types of particles....Pages 355-364
The Malliavin calculus and the hypoellipticity of second order degenerate elliptic differential operators....Pages 365-371
Second order availability and positive solutions of the Schr?dinger equation....Pages 372-385
On the problem of "predictable" criteria of contiguity....Pages 386-418
Lower bounds for an average number of sequentially designed experiments....Pages 419-434
The asymptotical distribution of quadratic deviation of an estimate of the regression surface....Pages 435-445
Almost sure uniform convergence of continuous stochastic processes with values in the dual of a nuclear space....Pages 446-451
Common approach to studying the probability of large and small deviations for random walks....Pages 452-460
On accuracy of normal approximation for distribution of sum of independent Hilbert space valued random variables....Pages 461-473
On a classification of pl-homeomorphisms of a circle....Pages 474-480
On a 2-dimensional [?, ?, ?]-langevin equation....Pages 481-485
L?vy's Brownian motion and total positivity....Pages 486-496
Asymptotic properties of symmetric L?vy process expectations and spectral distributions of integro-differential operators with random potentials....Pages 497-506
Homogenization of diffusion processes with random stationary coefficients....Pages 507-517
Conditional expectation and repeated measurements of continuous quantum observables....Pages 518-525
"Two and many-armed bandit" problems with infinite horizon....Pages 526-540
Stationary processes of ornstein-uhlenbeck type....Pages 541-551
Extension of outer measures and measures....Pages 552-560
On the rate of convergence of moments in the central limit theorem in Hilbert space....Pages 561-575
On the convergence of densities of sums of independent ramdom vectors....Pages 576-586
Maximum likelihood estimation under a wrong model....Pages 587-593
Fundamental solutions of stochastic partial differential equations arising in nonlinear filtering theory....Pages 594-602
Some stability theorems for characterizations of probability distributions....Pages 603-611
Monotonicity of positive partial sums of independent random variables....Pages 612-616
Invariance principle for the processes with semi-markov switch-overs with an arbitrary state space....Pages 617-628
Statistical inference with a minimal d-risk....Pages 629-636
The classes of distribution families with the lower bound of fisher information and its meaning in the statistical estimation....Pages 637-646
Strong ratio limit theorems....Pages 647-654
Final probabilities of ergodic Markov processes....Pages 655-665
On infinitely divisible OS-positive random fields....Pages 666-675
Observable chaos and variational principle formalism for one dimensional maps....Pages 676-686
On orbit-equivalence of non-singular flows....Pages 687-689
A note on the weak convergence of solutions of certain stochastic ordinary differential equations....Pages 690-698
Stochastic flows of diffeomorphisms....Pages 699-708
Generalized ergodic inequalities and ergodic theorems....Pages 709-715
Lag window estimates of the spectral density....Pages 716-725
Back Matter....Pages 726-746
....Pages 747-753