Probability for Statisticians
Language: English
Published by Springer, 2017
- Softcover
- Used
Seller: Goodwill of Silicon Valley, SAN JOSE, CA, U.S.A.Goodwill of Silicon Valley
AbeBooks seller since June 28, 2024
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Seller Inventory # GWSVV.3319522086.VG
- Title
- Probability for Statisticians
- Author
- Shorack, Galen R.
- Publisher
- Springer
- Publication year
- 2017
- Condition
- very_good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319522086
- ISBN 13
- 9783319522081
- Basic Properties of Measures
- Construction and Extension of Measures
- Lebesgue Stieltjes Measures
- Mappings and σ-Fields
- Measurable Functions
- Convergence
- Probability, RVs, and Convergence in Law
- Discussion of Sub σ-Fields
- The Lebesgue Integral
- Fundamental Properties of Integrals
- Evaluating and Differentiating Integrals
- Inequalities
- Modes of Convergence
- Introduction
- Decomposition of Signed Measures
- The Radon Nikodym Theorem
- Lebesgue's Theorem
- The Fundamental Theorem of Calculus
- Finite-Dimensional Product Spaces
- Random Vectors on (Ω,Α,P)
- Countably Infinite Product Probability Spaces
- Random Elements and Processes on (Ω,Α,P)
- Character of Distribution Functions
- Properties of Distribution Functions
- The Quantile Transformation
- Integration by Parts Applied to Moments
- Important Statistical Quantities
- Infinite Variances
- Independence
- The Tail σ-Field
- Uncorrelated Random Variables
- Basic Properties of Conditional Expectation
- Regular Conditional Probability
- Introduction
- Borel Cantelli and Kronecker Lemmas
- Truncation, WLLN, and Review of Inequalities
- Maximal Inequalities and Symmetrization
- The Classical Laws of Large Numbers (or, LLNs)
- Applications of the Laws of Large Numbers
- Law of the Iterated Logarithm (or, LIL)
- Strong Markov Property for Sums of IID RVs
- Convergence of Series of Independent RVs
- Martinagles
- Maximal Inequalities, Some with ↗ Boundaries
- Classical Convergence in Distribution
- Determining Classes of Functions
- Characteristic Functions, with Basic Results
- Uniqueness and Inversion
- The Continuity Theorem
- Elementary Complex and Fourier Analysis
- Esseen's Lemma
- Distributions on Grids
- Conditions for Ø to Be a Characteristic Function
- Introduction
- Basic Limit Theorems
- Variations on the Classical CLT
- Examples of Limiting Distributions
- Local Limit Theorems
- Normality Via Winsorization and Truncation
- Identically Distributed RVs
- A Converse of the Classical CLT
- Bootstrapping
- Bootstrapping with Slowly ↗ Winsorization
- Infinitely Divisible Distributions
- Stable Distributions
- Characterizing Stable Laws
- The Domain of Attraction of a Stable Law
- Gamma Approximations
- Edgeworth Expansions
- Special Spaces
- Existence of Processes on (C, C) and (D, D)
- Brownian Motion and Brownian Bridge
- Stopping Times
- Strong Markov Property
- Embedding a RV in Brownian Motion
- Barrier Crossing Probabilities
- Embedding the Partial Sum Process
- Other Properties of Brownian Motion
- Var
"Synopsis" may belong to another edition of this title.
Goodwill of Silicon Valley
SAN JOSE, CA, U.S.A.
AbeBooks seller since June 28, 2024
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Goodwill of Silicon Valley’s mission is to support our employees, our customers, and people with challenging barriers to employment; to raise their standard of living and improve their lives through our services and social enterprise.
Founded in Santa Clara County, California, USA in 1928, Goodwill of Silicon Valley is dedicated to improving employment opportunities, increasing standards of living, providing economic independence, and restoring our clients’ sense of self-worth. We do this through workforce creation, vocational training, and environmental stewardship. With 18 retail stores, an online store, an extensive reuse/recycling operation, and our Contract Services division, we help people overcome barriers to employment, build sustainable livelihoods, and transform their lives and communities.
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