Probability Theory and Mathematical Statistics (PDF)

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 PÓLYA 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 £-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 EXCUR