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The theory of probability / Santosh S. Venkatesh.
- Format:
- Book
- Author/Creator:
- Venkatesh, Santosh S., 1959-
- Language:
- English
- Subjects (All):
- Probabilities.
- Probabilities--History.
- History.
- Penn Provenance:
- Venkatesh, Santosh S. (autograph) (inscription)
- Physical Description:
- xxiv, 805 pages : illustrations ; 26 cm
- Other Title:
- Theory of probability : explorations and applications
- Place of Publication:
- Cambridge : Cambridge University Press, 2013.
- Summary:
- From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.
- Contents:
- Probability spaces
- Conditional probability
- A first look at independence
- Probability sieves
- Numbers play a game of chance
- The normal law
- Probabilities on the real line
- The Bernoulli schema
- The essence of randomness
- The coda of the normal
- Distribution functions and measure
- Random variables
- Great expectations
- Variations on a theme of integration
- Laplace transforms
- The law of large numbers
- From inequalities to concentration
- Poisson approximation
- Convergence in law, selection theorems
- Normal approximation
- Appendix: Sequences, functions, spaces.
- Notes:
- Includes bibliographical references and index.
- Local Notes:
- Van Pelt copy has ms. inscription from the author on title page.
- ISBN:
- 9781107024472
- 1107024471
- OCLC:
- 805015647
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