Fundamentals of probability theory / Tapas Kumar Chandra and Sreela Gangopadhyay.
Material type:
TextPublication details: Narosa publishing house : Kolkata, ©2017.Description: xv, 650 pages ; 25 cmISBN: - 9788184872194
- 519.2 23 C456
| 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 |
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| 515.7 B575 Lectures on functional analysis | 515.7 B575 Lectures on functional analysis | 519.2 C456 Borel-Cantelli Lemma / | 519.2 C456 Fundamentals of probability theory / | 519.2 In61 Frontiers in probability and statistics | 519.2 K14 Statistics and probability | 519.2 P273 Probability measures on metric spaces |
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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