Ebook: Selected Works of Willem van Zwet
- Tags: Statistical Theory and Methods
- Series: Selected Works in Probability and Statistics
- Year: 2012
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
With this collections volume, some of the important works of Willem van Zwet are moved to the front layers of modern statistics. The selection was based on discussions with Willem, and aims at a representative sample. The result is a collection of papers that the new generations of statisticians should not be denied. They are here to stay, to enjoy and to form the basis for further research.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
With this collections volume, some of the important works of Willem van Zwet are moved to the front layers of modern statistics. The selection was based on discussions with Willem, and aims at a representative sample. The result is a collection of papers that the new generations of statisticians should not be denied. They are here to stay, to enjoy and to form the basis for further research.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
With this collections volume, some of the important works of Willem van Zwet are moved to the front layers of modern statistics. The selection was based on discussions with Willem, and aims at a representative sample. The result is a collection of papers that the new generations of statisticians should not be denied. They are here to stay, to enjoy and to form the basis for further research.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
Content:
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Convex transformations: A new approach to skewness and kurtosis....Pages 3-11
Some Remarks on the Two-Armed Bandit....Pages 13-23
Van De Hulst on Robust Statistics: A Historical Note....Pages 25-39
Chapter 4 Discussion of three statistics papers by Willem van Zwet....Pages 41-45
Front Matter....Pages 47-47
Asymptotic Normality of Nonparametric Tests for Independence....Pages 49-62
A Note on Contiguity and Hellinger Distance....Pages 63-72
On Estimating a Parameter and Its Score Function....Pages 73-85
On Estimating a Parameter and Its Score Function, II....Pages 87-94
A Remark on Consistent Estimation....Pages 95-102
Chapter 10 Finite samples and asymptotics....Pages 103-114
Front Matter....Pages 115-115
Asymptotic Expansions for the Power of Distributionfree Tests in the Two-Sample Problem....Pages 117-184
On Efficiency of First and Second Order....Pages 185-191
A Berry-Esseen Bound for Symmetric Statistics....Pages 193-208
The Edgeworth Expansion for U-Statistics of Degree Two....Pages 209-230
Chapter 15 Entropic instability of Cramer’s characterization of the normal law....Pages 231-242
Front Matter....Pages 243-243
Resampling: Consistency of Substitution Estimators....Pages 245-266
Resampling Fewer Than n Observations: Gains, Losses, and Remedies for Losses....Pages 267-297
20 On a Set of the First Category....Pages 299-307
Chapter 19 Discussion of three resampling papers....Pages 309-311
Front Matter....Pages 313-313
A Non-Markovian Model for Cell Population Growth: Tail Behavior and Duration of the Growth Process....Pages 315-347
Front Matter....Pages 313-313
Parameter estimation for the supercritical contact process....Pages 349-370
On The Minimal Travel Time Needed to Collect n Items on a Circle....Pages 371-392
Chapter 23 Applications: simple models and difficult theorems....Pages 393-399
Front Matter....Pages 401-401
A Proof of Kakutani’s Conjecture on Random Subdivision of Longest Intervals....Pages 403-407
A Strong Law for Linear Functions of Order Statistics....Pages 409-413
A Refinement of the KMT Inequality for the Uniform Empirical Process....Pages 415-428
The Asymptotic Distribution of Point Charges on a Conducting Sphere....Pages 429-432
Weak Convergence Results for the Kakutani Interval Splitting Procedure....Pages 433-476
Chapter 29 A discussion of Willem van Zwet’s probability papers....Pages 477-484
With this collections volume, some of the important works of Willem van Zwet are moved to the front layers of modern statistics. The selection was based on discussions with Willem, and aims at a representative sample. The result is a collection of papers that the new generations of statisticians should not be denied. They are here to stay, to enjoy and to form the basis for further research.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
Content:
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Convex transformations: A new approach to skewness and kurtosis....Pages 3-11
Some Remarks on the Two-Armed Bandit....Pages 13-23
Van De Hulst on Robust Statistics: A Historical Note....Pages 25-39
Chapter 4 Discussion of three statistics papers by Willem van Zwet....Pages 41-45
Front Matter....Pages 47-47
Asymptotic Normality of Nonparametric Tests for Independence....Pages 49-62
A Note on Contiguity and Hellinger Distance....Pages 63-72
On Estimating a Parameter and Its Score Function....Pages 73-85
On Estimating a Parameter and Its Score Function, II....Pages 87-94
A Remark on Consistent Estimation....Pages 95-102
Chapter 10 Finite samples and asymptotics....Pages 103-114
Front Matter....Pages 115-115
Asymptotic Expansions for the Power of Distributionfree Tests in the Two-Sample Problem....Pages 117-184
On Efficiency of First and Second Order....Pages 185-191
A Berry-Esseen Bound for Symmetric Statistics....Pages 193-208
The Edgeworth Expansion for U-Statistics of Degree Two....Pages 209-230
Chapter 15 Entropic instability of Cramer’s characterization of the normal law....Pages 231-242
Front Matter....Pages 243-243
Resampling: Consistency of Substitution Estimators....Pages 245-266
Resampling Fewer Than n Observations: Gains, Losses, and Remedies for Losses....Pages 267-297
20 On a Set of the First Category....Pages 299-307
Chapter 19 Discussion of three resampling papers....Pages 309-311
Front Matter....Pages 313-313
A Non-Markovian Model for Cell Population Growth: Tail Behavior and Duration of the Growth Process....Pages 315-347
Front Matter....Pages 313-313
Parameter estimation for the supercritical contact process....Pages 349-370
On The Minimal Travel Time Needed to Collect n Items on a Circle....Pages 371-392
Chapter 23 Applications: simple models and difficult theorems....Pages 393-399
Front Matter....Pages 401-401
A Proof of Kakutani’s Conjecture on Random Subdivision of Longest Intervals....Pages 403-407
A Strong Law for Linear Functions of Order Statistics....Pages 409-413
A Refinement of the KMT Inequality for the Uniform Empirical Process....Pages 415-428
The Asymptotic Distribution of Point Charges on a Conducting Sphere....Pages 429-432
Weak Convergence Results for the Kakutani Interval Splitting Procedure....Pages 433-476
Chapter 29 A discussion of Willem van Zwet’s probability papers....Pages 477-484
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