Probability Theory
Probability theory is an actively developing branch of mathematics. It has applications in many areas of science and technology and forms the basis of mathematical statistics. This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and rand...
| Κύριος συγγραφέας: | |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
London :
Springer London : Imprint: Springer,
2013.
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| Σειρά: | Universitext,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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 Processes
- Processes with Finite Second Moments. Gaussian Processes
- Appendices.
