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A user's guide to measure theoretic probability / David Pollard.

By: Material type: TextTextSeries: Cambridge series on statistical and probabilistic mathematicsPublisher: Cambridge : Cambridge University Press, 2001Description: 320p. ; 26 cmISBN:
  • 0521002893 (pbk.) :
  • 0521802423
Subject(s): DDC classification:
  • 519.2
Contents:
Ch. 1. Motivation -- Ch. 2. A modicum of measure theory -- Ch. 3. Densities and derivatives -- Ch. 4. Product spaces and independence -- Ch. 5. Conditioning -- Ch. 6. Martingale et al. -- Ch. 7. Convergence in distribution -- Ch. 8. Fourier transforms -- Ch. 9. Brownian motion -- Ch. 10. Representations and couplings -- Ch. 11. Exponential tails and the law of the iterated logarithm -- Ch. 12. Multivariate normal distributions -- App. A. Measures and integrals -- App. B. Hilbert spaces -- App. C. Convexity -- App. D. Binomial and normal distributions -- App. E. Martingales in continuous time -- App. F. Disintegration of measures.
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Ch. 1. Motivation -- Ch. 2. A modicum of measure theory -- Ch. 3. Densities and derivatives -- Ch. 4. Product spaces and independence -- Ch. 5. Conditioning -- Ch. 6. Martingale et al. -- Ch. 7. Convergence in distribution -- Ch. 8. Fourier transforms -- Ch. 9. Brownian motion -- Ch. 10. Representations and couplings -- Ch. 11. Exponential tails and the law of the iterated logarithm -- Ch. 12. Multivariate normal distributions -- App. A. Measures and integrals -- App. B. Hilbert spaces -- App. C. Convexity -- App. D. Binomial and normal distributions -- App. E. Martingales in continuous time -- App. F. Disintegration of measures.

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