Proceedings of the Second Japan-USSR Symposium on Probability Theory [electronic resource] / edited by G. Maruyama, Yu. V. Prokhorov.

Contributor(s): Maruyama, G [editor.] | Prokhorov, Yu. V [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 330Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1973Description: VI, 554 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540469568Other title: Kyoto, Japan, 1972Subject(s): Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic ProcessesAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
Contents:
Entropy and Hausdorff dimension of a sequence of coordinate functions in base-r expansion -- General theorems of convergence for random processes -- Asymptotic expansions for Neyman's C(?) tests -- On the generation of Markov processes by symmetric forms -- On nonlinear filtering theory and absolute continuity of measures, corresponding to stochastic processes -- On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain -- Statistical problems in quantum physics -- Optimal coding in white Gaussian channel with feedback -- The local structure of a class of diffusions and related problems -- Remarks on Markov processes having Green functions with isotropic singularity -- On the variation of Gaussian processes -- On a class of linear processes -- A characterization of potential kernels for recurrent Markov chains with strong Feller transition function -- On a Markov property for stationary Gaussian processes with a multidimensional parameter -- Convergence rate in the ergodic theorem for an analytic flow on the torus -- Convergence of numeric characteristics of sums of independent random variables and global theorems -- Ergodicity of the dynamical system of a particle on a domain with irregular walls -- On "attraction domains" in the theory of sequential estimation -- Applications of Ornstein's theory to stationary processes -- Comparison theorems for solutions of one-dimensional stochastic differential equations -- Remarks on probabilistic solutions of certain quasilinear parabolic equations -- On white noise and infinite dimensional orthogonal group -- On moment inequalities and identities for stochastic integrals -- On a Markovian property of Gaussian processes -- The log log law for certain dependent random sequences -- The concentration functions of sums of independent random variables -- On Lie group structure of subgroups of O(S) -- On the multidimensional central limit theorem with a weakened condition on moments -- Statistics of diffusion type processes -- On branching Markov processes with derivative -- On limit theorems for random processes -- A remark on the criterion of continuity of Gaussian sample function -- ?-Transformations and symbolic dynamics -- On location parameter family of distributions with uniformly minimum variance unbiased estimator of location -- On Markov process corresponding to Boltzmann's equation of Maxwellian gas -- On some perturbations of stable processes -- Some recent results on processes with stationary independent increments -- Extensions of measures. Stochastic equations -- On stochastic equations -- Exactness of an approximation in the central limit theorem.
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Item type: E-BOOKS
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Entropy and Hausdorff dimension of a sequence of coordinate functions in base-r expansion -- General theorems of convergence for random processes -- Asymptotic expansions for Neyman's C(?) tests -- On the generation of Markov processes by symmetric forms -- On nonlinear filtering theory and absolute continuity of measures, corresponding to stochastic processes -- On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain -- Statistical problems in quantum physics -- Optimal coding in white Gaussian channel with feedback -- The local structure of a class of diffusions and related problems -- Remarks on Markov processes having Green functions with isotropic singularity -- On the variation of Gaussian processes -- On a class of linear processes -- A characterization of potential kernels for recurrent Markov chains with strong Feller transition function -- On a Markov property for stationary Gaussian processes with a multidimensional parameter -- Convergence rate in the ergodic theorem for an analytic flow on the torus -- Convergence of numeric characteristics of sums of independent random variables and global theorems -- Ergodicity of the dynamical system of a particle on a domain with irregular walls -- On "attraction domains" in the theory of sequential estimation -- Applications of Ornstein's theory to stationary processes -- Comparison theorems for solutions of one-dimensional stochastic differential equations -- Remarks on probabilistic solutions of certain quasilinear parabolic equations -- On white noise and infinite dimensional orthogonal group -- On moment inequalities and identities for stochastic integrals -- On a Markovian property of Gaussian processes -- The log log law for certain dependent random sequences -- The concentration functions of sums of independent random variables -- On Lie group structure of subgroups of O(S) -- On the multidimensional central limit theorem with a weakened condition on moments -- Statistics of diffusion type processes -- On branching Markov processes with derivative -- On limit theorems for random processes -- A remark on the criterion of continuity of Gaussian sample function -- ?-Transformations and symbolic dynamics -- On location parameter family of distributions with uniformly minimum variance unbiased estimator of location -- On Markov process corresponding to Boltzmann's equation of Maxwellian gas -- On some perturbations of stable processes -- Some recent results on processes with stationary independent increments -- Extensions of measures. Stochastic equations -- On stochastic equations -- Exactness of an approximation in the central limit theorem.

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