Probability Theory and Mathematical Statistics

Frontmatter -- CONTENTS -- Foreword -- Rate of convergence in the transference max-limit theorem -- Theorems of large deviations for non-Gaussian approximation -- Algorithm for calculation of joint distribution of bootstrap sample elements -- Bismut type differentiation of semigroups -- Random permutations and the Ewens sampling formula in genetics -- On large deviations of self-normalized sum -- Minimax estimation in the blurred signal model -- Invariant measures of diffusion processes in Hilbert spaces and Hilbert manifolds -- One term Edgeworth expansion for Student's t statistic -- Asynchronous stochastic approximation and adaptation in a competitive system -- Homogenization of random parabolic operator with large potential -- Remarks on infinitely divisible approximations to the binomial law -- Rates of convergence to stable and discrete stable laws -- Normal-ordered white noise differential equations. II: Regularity properties of solutions -- Line models for snowflake crystals and their Hausdorff dimension -- Multiplicative strong unimodality revisited -- Random walks with jumps in random environments (examples of cycle and weight representations) -- Analysis of generating functions and probabilities on trees -- On the distribution of roots of polynomials in sectors. Ill -- Asymptotic expansions for the moments of the regret risk of classification based on mixed variables -- On the structure of strong Markov continuous local Dirichlet processes -- On minimax robustness of Bayesian statistical prediction -- On the zeros of the Lerch zeta-function. II -- The Galton-Watson tree conditioned on its height -- Prognosis of experiment results, based on a two-stage examination and linking the inverse Polya distribution to Bayes' rule -- Applications of semiparametric biased sampling models to AIDS vaccine and treatment trials -- Bayesian estimation of common long-range dependent models -- Starting an image segmentation: a level set approach -- Wide-ranging