Probabilities of large deviations in topological spaces. I
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Publication:598696
DOI10.1007/BF00973600zbMath0413.60021OpenAlexW1966374308MaRDI QIDQ598696
Anatoliĭ Alfredovich Mogul'skiĭ, Aleksandr A. Borovkov
Publication date: 1979
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00973600
Probability measures on topological spaces (60B05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)
Related Items (11)
Moderate deviation probabilities for open convex sets: nonlogarithmic behavior. ⋮ Moderate deviations for the SSEP with a slow bond ⋮ Moderate deviations and functional limits for random processes with stationary and independent increments ⋮ Moderate deviations for \(m\)-dependent random variables with Banach space values ⋮ Moderate deviations for martingales and mixing random processes ⋮ Moderate deviations of density-dependent Markov chains ⋮ Moderate deviation principles for unbounded additive functionals of distribution dependent SDEs ⋮ Moderate deviations for stationary sequences of Hilbert-valued bounded random variables ⋮ Moderate deviation principle for \(m\)-dependent random variables ⋮ Moderate deviations for randomly perturbed dynamical systems ⋮ Moderate deviations for martingale differences and applications to φ -mixing sequences
Cites Work
- On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
- On the Deviations of the Empiric Distribution Function of Vector Chance Variables
- Asymptotically Optimal Tests for Multinomial Distributions
- Asymptotic probabilities and differential equations
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
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