Proceedings of the Second Japan-USSR Symposium on Probability Theory

Entropy and Hausdorff dimension of a sequence of coordinate functions in base-r expansion....Pages 1-6
General theorems of convergence for random processes....Pages 7-15
Asymptotic expansions for Neyman\'s C(α) tests....Pages 16-45
On the generation of Markov processes by symmetric forms....Pages 46-79
On nonlinear filtering theory and absolute continuity of measures, corresponding to stochastic processes....Pages 80-94
On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain....Pages 95-103
Statistical problems in quantum physics....Pages 104-119
Optimal coding in white Gaussian channel with feedback....Pages 120-123
The local structure of a class of diffusions and related problems....Pages 124-169
Remarks on Markov processes having Green functions with isotropic singularity....Pages 170-175
On the variation of Gaussian processes....Pages 176-192
On a class of linear processes....Pages 193-212
A characterization of potential kernels for recurrent Markov chains with strong Feller transition function....Pages 213-238
On a Markov property for stationary Gaussian processes with a multidimensional parameter....Pages 239-250
Convergence rate in the ergodic theorem for an analytic flow on the torus....Pages 251-254
Convergence of numeric characteristics of sums of independent random variables and global theorems....Pages 255-286
Ergodicity of the dynamical system of a particle on a domain with irregular walls....Pages 287-295
On \"attraction domains\" in the theory of sequential estimation....Pages 296-303
Applications of Ornstein\'s theory to stationary processes....Pages 304-309
Comparison theorems for solutions of one-dimensional stochastic differential equations....Pages 310-315
Remarks on probabilistic solutions of certain quasilinear parabolic equations....Pages 316-325
On white noise and infinite dimensional orthogonal group....Pages 326-332
On moment inequalities and identities for stochastic integrals....Pages 333-339
On a Markovian property of Gaussian processes....Pages 340-354
The log log law for certain dependent random sequences....Pages 355-369
The concentration functions of sums of independent random variables....Pages 370-376
On Lie group structure of subgroups of O(S)....Pages 377-383
On the multidimensional central limit theorem with a weakened condition on moments....Pages 384-396
Statistics of diffusion type processes....Pages 397-411
On branching Markov processes with derivative....Pages 412-432
On limit theorems for random processes....Pages 433-443
A remark on the criterion of continuity of Gaussian sample function....Pages 444-454
β-Transformations and symbolic dynamics....Pages 455-464
On location parameter family of distributions with uniformly minimum variance unbiased estimator of location....Pages 465-477
On Markov process corresponding to Boltzmann\'s equation of Maxwellian gas....Pages 478-489
On some perturbations of stable processes....Pages 490-497
Some recent results on processes with stationary independent increments....Pages 498-515
Extensions of measures. Stochastic equations....Pages 516-526
On stochastic equations....Pages 527-530
Exactness of an approximation in the central limit theorem....Pages 531-543