Stability Problems for Stochastic Models: Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25–Oct. 1, 1987

The density function's asymptotic representation in the case of multidimensional strictly stable distributions....Pages 1-21
Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function....Pages 22-32
On the adaptive estimation of change points....Pages 33-49
Precise upper bounds for the functionals describing tumour treatment efficiency....Pages 50-67
A multivariate analog of the Cramer theorem on components of the Gaussian distributions....Pages 68-77
A refinement of Lukacs theorems....Pages 78-82
On the connection of Renyi's theorem and Renewal theory....Pages 83-102
On the products of a random number of random variables in connection with a problem from mathematical economics....Pages 103-109
The asymptotic distributions of random sums....Pages 110-123
Normal and degenerate convergences of random sums....Pages 124-136
New duality theorems for Marginal problems with some applications in stochastics....Pages 137-171
Stable random vectors in Hilbert space....Pages 172-182
The mean's consistent estimation, in the case random processes, satisfying partial differential equations....Pages 183-193
Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables....Pages 194-228
Some asymptotic properties of the stable laws....Pages 229-238
A chi-square goodness-of-fit test for exponential distributions of the first order....Pages 239-258
A conditional weak law of large numbers....Pages 259-262
On the rate of convergence for the extreme value in the case of IFR-distributions....Pages 263-269
On the rate of convergence in extreme value theory....Pages 270-279
Some properties of stochastic processes with linear regression....Pages 280-287
On characterization of generalized logistic and pareto distributions....Pages 288-295
Limit theorems for positive definite probability densities....Pages 296-308
On the estimate of the rate of convergence in the central limit theorem in Hilbert space....Pages 309-327
Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials....Pages 328-348
A regressional characterization of the poisson distribution....Pages 349-351
Hitting times of single points for 1-dimensional generalized diffusion processes....Pages 352-359
Pseudotrajectories and stability problems for stochastic dynamical systems....Pages 360-380