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Fundamentals of probability theory / Tapas Kumar Chandra and Sreela Gangopadhyay.

By: Contributor(s): Material type: TextTextPublication details: Narosa publishing house : Kolkata, ©2017.Description: xv, 650 pages ; 25 cmISBN:
  • 9788184872194
Subject(s): DDC classification:
  • 519.2 23 C456
Contents:
1. Families of sets and measures -- 2. The Lebesgue integration -- 3. Modes of stochastic convergence -- 4. Differentiation of measures -- 5. Probability theory -- 6. Limit theorems I: LLN -- 7. Characteristic functions -- 8. Limit theorems II: CLT -- 9. Limit theorems III: LIL -- 10. ID and stable distributions -- 11. Random walk and renewal process.
Summary: FUNDAMENTALS OF PROBABILITY THEORY is a text comprising the major theorems of Probability and its Measure theoretic foundations. The main topics covered are independence, interchangeability. No prior knowledge of measure theory is assumed, and a unique feature of the book is the combined presentation of measure and probability. Special features include: An up-to-date treatment of U-statistics, a comprehensive treatment of the law of iterated logarithm, Infinitely divisible and stable laws, complete treatment of Borel-cantelli lemmas and laws of large numbers.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata ISI Scientist Publication 519.2 C456 (Browse shelf(Opens below)) Available 138350
Books ISI Library, Kolkata 519.2 C456 (Browse shelf(Opens below)) Available 138351
Books ISI Library, Kolkata 519.2 C456 (Browse shelf(Opens below)) Available 138352
Total holds: 0

Includes bibliographical references and index.

1. Families of sets and measures --
2. The Lebesgue integration --
3. Modes of stochastic convergence --
4. Differentiation of measures --
5. Probability theory --
6. Limit theorems I: LLN --
7. Characteristic functions --
8. Limit theorems II: CLT --
9. Limit theorems III: LIL --
10. ID and stable distributions --
11. Random walk and renewal process.

FUNDAMENTALS OF PROBABILITY THEORY is a text comprising the major theorems of Probability and its Measure theoretic foundations. The main topics covered are independence, interchangeability. No prior knowledge of measure theory is assumed, and a unique feature of the book is the combined presentation of measure and probability. Special features include: An up-to-date treatment of U-statistics, a comprehensive treatment of the law of iterated logarithm, Infinitely divisible and stable laws, complete treatment of Borel-cantelli lemmas and laws of large numbers.

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