Athreya, Siva 1971
Overview
Works:  4 works in 7 publications in 1 language and 143 library holdings 

Genres:  Textbooks History 
Roles:  Author 
Classifications:  QA312, 515.42 
Publication Timeline
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Most widely held works by
Siva Athreya
Measure & probability
by
Siva Athreya(
Book
)
3 editions published between 2008 and 2009 in English and held by 94 WorldCat member libraries worldwide
"This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."Jacket
3 editions published between 2008 and 2009 in English and held by 94 WorldCat member libraries worldwide
"This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."Jacket
Connected at infinity : a selection of mathematics by Indians
(
Book
)
2 editions published in 2003 in English and held by 46 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 46 WorldCat member libraries worldwide
Probability and semilinear partial differential equations
by
Siva Athreya(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Quantifying spatial misallocation in centrally provided public goods
(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Audience Level
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Related Identities
Alternative Names
Athreya, S.
Athreya, S. R. 1971
Athreya, S. R. (Siva R.), 1971
Languages
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