Fundamentals of Probability Theory

Tapas Kumar Chandra, Sreela Gangopadhyay (Autoren)

Buch | Softcover

696 Seiten

2017
Narosa Publishing House (Verlag)
978-81-8487-219-4 (ISBN)

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This textbook comprises 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.

Tapas Kumar Chandra: Bayesian and Interdisciplinary Research Unit (BIRU), Indian Statistical Institute, Kolkata Sreela Gangopadhyay: CR Rao Advanced Institute of Mathematics, CR Rao Advanced Institute of Mathematics, Statistics and Computer Science, Hyderabad

Families of Sets and Measures / Extensions of Measures and Lebesgue Integration / Product Spaces and Measures / Differentiation / Further Topics in Measure Theory / Laws of Large Numbers / Weak Convergence / Characteristic Functions / Central Limit Theorems / Discrete Time Markov Chains / Infinitely Divisible and Stable Laws / Law of Iterated Logarithms.

Erscheint lt. Verlag	30.6.2017
Verlagsort	New Dehli
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	81-8487-219-4 / 8184872194
ISBN-13	978-81-8487-219-4 / 9788184872194
Zustand	Neuware