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Licensed Unlicensed Requires Authentication Published by De Gruyter 1994

Large deviations in approximation by Poisson law

From the book Probability Theory and Mathematical Statistics

  • A. Aleškevičiene and V. Statulevičius
https://doi.org/10.1515/9783112319321-002
© 2020 Walter de Gruyter GmbH, Berlin/Munich/Boston
From the book
Probability Theory and Mathematical Statistics
Probability Theory and Mathematical Statistics

Chapters in this book (44)

Frontmatter
CONTENTS
PREFACE
Large deviations in approximation by Poisson law
Limits of weak interaction for stochastic particle system
Rate of convergence in the limit transfer theorem of the maximum and minimum
Geometry of the state spaces in quantum probability
From diffusions to processes with jumps
Central limit theorem in Skorohod spaces and asymptotic strength distribution of fiber bundles
Ergodicity in a sense of weak convergence, equilibrium-type identities and large deviations for Markov chains
On second-order properties of mixing random sequences and random fields
Optimal couplings and application to Riemannian geometry
Empirical and partial sum processes with sample path in Banach function spaces
Applications of multi-time parameter processes to change-point analysis
Bergström-type asymptotic expansions in the first uniform Kolmogorov's theorem
Differentiation of heat semigroups and applications
On the realisation of classical Markov processes as quantum flows in Fock space
Unimodular eigenvalues and invariant probabilities for some classes of linear operators
On function-indexed partial-sum processes
Canonical spectral equation for the eigenvalues of empirical covariance matrices
Conditionally exponential families and Lundberg exponents of Markov additive processes
On the nonuniform approximation by means of distributions of sums of conditionally independent random variables
Kolmogorov's strong law of large numbers: the amart point of view
Cycle processes
Density-dependent branching processes as randomly perturbed iterations of maps
Stability of the inverse Radon transform
On conditions for existence of solutions of integral equations with stochastic line integrals
Nonlinear transformations of empirical processes: functional inverses and Bahadur-Kiefer representations
Rate of convergence in the functional central limit theorem for one-dimensional semimartingales
On limit theorems for the Riemann zeta-function in some spaces
A posteriori and sequential methods of change-point detection in FARIMA-type time series
Limit theorems for the local density of measures in the hypotheses testing problems of counting processes
On the strong independence of sequential ranks
A proof of the Erdös arcsine law
Quasi-state decompositions for quantum spin systems
On accuracy of approximation with stable laws
Distributions of processes governed by hyperbolic equations when also boundary conditions are assumed
Central limit theorems on stratified Lie groups
On the convergence rate in the multi-dimensional martingale CLT
Stein-Chen method for compound Poisson approximation: the coupling approach
Some aspects of the development of probabilistic number theory
Mixture of extremal distributions - a model alternative to the log-linear model
Infinite-dimensional M-estimation
On large deviations in averaging principle for systems of stochastic differential equation with unbounded coefficients
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