Measure Theory for Analysis and Probability

Measure Theory for Analysis and Probability

Rao, B.V.; Goswami, Alok

Springer Verlag, Singapore

01/2025

401

Dura

9789819779284

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1. Measure Theory: Why and What.- 2. Measures: Construction and Properties.- 3. Measurable Functions and Integration.- 4. Random Variables and Random Vectors.- 5. Product Spaces.- 6. Radon-Nikodym Theorem and Lp Spaces.- 7. Convergence and Laws of Large Numbers.- 8. Weak convergence and Central Limit Theorem.- 9. Conditioning: The Right Approach.- 10. Infinite Products.- 11. Brownian Motion: A Brief Journey.
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Measure Theory;Measurable Functions;Measure and Integration;Random Variables;Random Vectors;Product Spaces;Radon-Nikodym Theorem ;Lp Spaces;Convergence;Weak Convergence;Central Limit Theorem;Infinite Products;Brownian Motion