دانلود کتاب Probability Theory and Mathematical Statistics: Vol. 1

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Contents\nPreface\nThe low density limit and the quantum Poisson process\nSystems assisting in gathering and analysis of statistical data and adjustable to subject domains\nOn the maximum of sums of random variables and the supremum for stable processes\nOn the necessity of Cramér\'s condition in local limit theorems\nMarkov random graphs and polygonal fields with Y-shaped nodes\nProbability measures on quantum logics and a non-commutative Choquet theory\nConvolution semigroups of instruments in quantum probability\nStochastic posterior equations for quantum nonlinear filtering\nDiffusions and parabolic equations in principal bundles\nOn Markov processes associated with a projective sequence of harmonic spaces\nEstimation of the tail of the spectral distribution by means of high level sojourn times\nRenormalization of Dyson\'s vector-valued hierarchical model at low temperatures\nAnalitic functionals of stochastic processes and infinite dimensional oscillatory integrals\nExponential inequalities for the distributions of von Mises and U-statistics\nErgodicity and stability of Markov chains and of their generalizations. Multidimensional chains\nEvent and time averages: The stationary case and the nonstationary case\nOn the convergence of sums of independent random vectors normed by matrices\nCLT for families of integral functionals arising in solving the multidimensional Burgers Equation\nThe Theory Of Dynamical Semigroups And Its Applications\nAn approximation of integer-valued measures by generalized Poisson measures\nLim inf results for the standardized empirical distribution function\nThe smooth measures in Banach spaces and their smooth mappings\nLocal invariance principle for i.i.d. random variables\nConditionally positive definite functions on the coefficient algebra of a nonabelian group\nOn the integrability of the maximum and the local properties of Gaussian fields\nOn large deviation probabilities for the maximum likelihood estimators\nFunctional integrals, a variational method and some problems of stochastical physics\nThe law of the iterated logarithm and order statistics\nMartingales in non-life insurance\nAsymptotic Minimaxity Of Usual Goodness Of Fit Tests\nLes fonctions aléatoires à valeurs dans les espaces lusiniens et leurs modifications régulières\nCritical branching caused by interaction with point catalysts\nStatistical analysis and dating of the observations on which Ptolomy\'s \"Almagest\" star catalogue is based\nGlobal asymptotics of solutions of the first and second boundary value problems for Kolmogorov equation with small diffusion\nHydrodynamic limit for Ginzburg—Landau type continuum model\nAlmost everywhere limit convergence of subsequences of powers\nOn shot noise processes with long range dependence\nG-estimates of eigen-values of covariance matrices\nOn large deviations for trimmed sums of independent random variables\nRandom operator functions defined by stochastic differential equations\nHellinger integrals and Hellinger processes for solutions of martingale problems\nOn connection between the theory of branching processes and queueing theory\nEstimation Of Manova Eigenvalues\nOn joint distributions of random elements with given mutual conditional distributions\nImprovement and generalization of Cramér—Rao inequality for a filtered space\nLimit Theorems For Record Times\nOn statistics of continuous Markov processes: semi- Markov approach\nQuantum stochastic flows\nConvergence Of The Stochastic Quantization Method\nAdaptive tests for minimax testing of nonparametic hypotheses\nA survey of the metric theory of continued fractions, fifty years after Doeblin\'s 1940 paper\nBoundary and entropy of random walks in random environment\nNon-linear law of large numbers and Gaussian fluctuation for star-like networks\nAsymptotic solution of inverse Kolmogorov equation for diffusion processes with small diffusion\nAsymptotic robustness of discriminant procedures for dependent and non-homogeneous observations\nCharacterization of distributions: problems, methods, applications\nThe entropy order of operators and limit theorems in Banach spaces\nInverse problem for potentials of measures in Banach spaces\nInvestigation of the convergence of functions of sample means and covariances to limit distributions