TY - BOOK AU - Chandra,Tapas Kumar AU - Gangopadhyay,Sreela TI - Fundamentals of probability theory SN - 9788184872194 U1 - 519.2 23 PY - 2017/// CY - Kolkata PB - Narosa publishing house KW - Probabilities N1 - 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 N2 - 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 ER -