Probability Theory and Mathematical Statistics Proceedings of the Seventh Vilnius Conference, Vilnius, Lithuania, 1218 August, 1998

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 interpretations of the cycle representations of Markov processes -- Analysis of price, income and money demand indicators -- Robustness in cluster analysis of multivariate observations -- An elementary approach to filtering in systems with fractional Brownian observation noise -- Bootstrap tests for parametric volatility structure in nonparametric autoregression -- Value-distribution of general Dirichlet series -- The Robbins-Monro type SDE and recursive estimation -- A squared binomial tree approach to discrete-time bond market modelling -- Strong consistency of k-centres in reflexive spaces -- Asymptotic behavior of small ball probabilities -- Good statistical practice in analytical chemistry -- On the principle of maximum entropy on the mean as a methodology for the regularization of inverse problems -- The rate of convergence in the central limit theorem for endomorphisms of two-dimensional torus -- Simple methods for the analysis of multivariate and longitudinal categorical data -- Trimmed sums and associated random variables in the q-domain of attraction of stable laws -- p-Variation and integration of sample functions of stochastic processes -- Functional central limit theorems on Lie groups. A survey -- On some new results for cointegrated processes with infinite variance innovations -- Sampling methods in Lithuanian official statistics. Design and parameter estimation problems -- On LP-estimates of stochastic integrals -- Volatility estimation and bootstrap -- Random fields and central limit theorem in some generalized Holder spaces -- Consistent estimation of discriminant space in mixture model by using projection pursuit -- Nonparametric wavelet methods for nonstationary time series -- Some results on arithmetical functions -- Linear approximation of random processes and sampling design problems -- Convergence of solution of stochastic equations in the space of formal series -- Unified inference in survey sampling -- Semiclassical analysis and a new result in excursi