Probability theory [electronic resource] / Alexandr A. Borovkov ; edited by K.A. Borovkov ; translated by O.B. Borovkova and P.S. Ruzankin.
Uniform Title: | Universitext.
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Main Author: | |
Other Authors: | |
Language: | English |
Published: |
London ; New York :
Springer,
[2013]
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Series: | Universitext.
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Subjects: | |
Online Access: | |
Format: | Electronic eBook |
Contents:
- Discrete Spaces of Elementary Events
- An Arbitrary Space of Elementary Events
- Random Variables and Distribution Functions
- Numerical Characteristics of Random Variables
- Sequences of Independent Trials with Two Outcomes
- On Convergence of Random Variables and Distributions
- Characteristic Functions
- Sequences of Independent Random Variables. Limit Theorems
- Large Deviation Probabilities for Sums of Independent Random Variables
- Renewal Processes
- Properties of the Trajectories of Random Walks. Zero-One Laws
- Random Walks and Factorisation Identities
- Sequences of Dependent Trials. Markov Chains
- Information and Entropy
- Martingales
- Stationary Sequences
- Stochastic Recursive Sequences
- Continuous Time Random Processes
- Processes with Independent Increments
- Functional Limit Theorems
- Markov Process
- Processes with Finite Second Moments. Gaussian Processes.