This 2002 book is a secure starting point for anyone who needs to invoke rigorous probabilistic arguments and understand what they mean.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
1. Motivation 2. A modicum of measure theory 3. Densities and derivatives 4. Product spaces and independence 5. Conditioning 6. Martingale et al 7. Convergence in distribution 8. Fourier transforms 9. Brownian motion 10. Representations and couplings 11. Exponential tails and the law of the iterated logarithm 12. Multivariate normal distributions Appendix A. Measures and integrals Appendix B. Hilbert spaces Appendix C. Convexity Appendix D. Binomial and normal distributions Appendix E. Martingales in continuous time Appendix F. Generalized sequences.
1. Motivation 2. A modicum of measure theory 3. Densities and derivatives 4. Product spaces and independence 5. Conditioning 6. Martingale et al 7. Convergence in distribution 8. Fourier transforms 9. Brownian motion 10. Representations and couplings 11. Exponential tails and the law of the iterated logarithm 12. Multivariate normal distributions Appendix A. Measures and integrals Appendix B. Hilbert spaces Appendix C. Convexity Appendix D. Binomial and normal distributions Appendix E. Martingales in continuous time Appendix F. Generalized sequences.
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