Stability Problems for Stochastic Models
Stability Problems for Stochastic Models Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25–Oct. 1, 1987 / [electronic resource] :
edited by Vladimir V. Kalashnikov, Vladimir M. Zolotarev.
- XII, 384 p. online resource.
- Lecture Notes in Mathematics, 1412 0075-8434 ; .
- Lecture Notes in Mathematics, 1412 .
The density function's asymptotic representation in the case of multidimensional strictly stable distributions -- Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function -- On the adaptive estimation of change points -- Precise upper bounds for the functionals describing tumour treatment efficiency -- A multivariate analog of the Cramer theorem on components of the Gaussian distributions -- A refinement of Lukacs theorems -- On the connection of Renyi's theorem and Renewal theory -- On the products of a random number of random variables in connection with a problem from mathematical economics -- The asymptotic distributions of random sums -- Normal and degenerate convergences of random sums -- New duality theorems for Marginal problems with some applications in stochastics -- Stable random vectors in Hilbert space -- The mean's consistent estimation, in the case random processes, satisfying partial differential equations -- Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables -- Some asymptotic properties of the stable laws -- A chi-square goodness-of-fit test for exponential distributions of the first order -- A conditional weak law of large numbers -- On the rate of convergence for the extreme value in the case of IFR-distributions -- On the rate of convergence in extreme value theory -- Some properties of stochastic processes with linear regression -- On characterization of generalized logistic and pareto distributions -- Limit theorems for positive definite probability densities -- On the estimate of the rate of convergence in the central limit theorem in Hilbert space -- Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials -- A regressional characterization of the poisson distribution -- Hitting times of single points for 1-dimensional generalized diffusion processes -- Pseudotrajectories and stability problems for stochastic dynamical systems.
Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.
9783540468639
10.1007/BFb0084160 doi
Distribution (Probability theory.
Probability Theory and Stochastic Processes.
QA273.A1-274.9 QA274-274.9
519.2
The density function's asymptotic representation in the case of multidimensional strictly stable distributions -- Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function -- On the adaptive estimation of change points -- Precise upper bounds for the functionals describing tumour treatment efficiency -- A multivariate analog of the Cramer theorem on components of the Gaussian distributions -- A refinement of Lukacs theorems -- On the connection of Renyi's theorem and Renewal theory -- On the products of a random number of random variables in connection with a problem from mathematical economics -- The asymptotic distributions of random sums -- Normal and degenerate convergences of random sums -- New duality theorems for Marginal problems with some applications in stochastics -- Stable random vectors in Hilbert space -- The mean's consistent estimation, in the case random processes, satisfying partial differential equations -- Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables -- Some asymptotic properties of the stable laws -- A chi-square goodness-of-fit test for exponential distributions of the first order -- A conditional weak law of large numbers -- On the rate of convergence for the extreme value in the case of IFR-distributions -- On the rate of convergence in extreme value theory -- Some properties of stochastic processes with linear regression -- On characterization of generalized logistic and pareto distributions -- Limit theorems for positive definite probability densities -- On the estimate of the rate of convergence in the central limit theorem in Hilbert space -- Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials -- A regressional characterization of the poisson distribution -- Hitting times of single points for 1-dimensional generalized diffusion processes -- Pseudotrajectories and stability problems for stochastic dynamical systems.
Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.
9783540468639
10.1007/BFb0084160 doi
Distribution (Probability theory.
Probability Theory and Stochastic Processes.
QA273.A1-274.9 QA274-274.9
519.2