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1.

図書

図書
Kai Lai Chung
出版情報: New Jersey : World Scientific, c2004  ix, 304 p., [12] p. of plates ; 26 cm
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2.

図書

図書
Yanhong Wu
出版情報: New York, N.Y. : Springer, c2005  xiii, 158 p. ; 24 cm
シリーズ名: Lecture notes in statistics ; 180
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目次情報: 続きを見る
CUSUM Procedure
Change-point Estimation
Confidence Interval for Change-point
Infrence for Post-change Mean
Estimation After False Signal
Inference with Change in Variance
Sequential Classification and Segmentation
An Adaptive CUSUM Procedure
Dependent Observation Case
Other Methods and Remarks
CUSUM Procedure
Change-point Estimation
Confidence Interval for Change-point
3.

電子ブック

EB
Michael R. Kosorok
出版情報: [Berlin] : SpringerLink, [20--]  1 online resource (xiv, 483 p.)
シリーズ名: Springer series in statistics
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目次情報: 続きを見る
Preface
Overview / I:
Introduction / 1:
An Overview of Empirical Processes / 2:
The Main Features / 2.1:
Empirical Process Techniques / 2.2:
Stochastic Convergence / 2.2.1:
Entropy for Glivenko-Cantelli and Donsker Theorems / 2.2.2:
Bootstrapping Empirical Processes / 2.2.3:
The Functional Delta Method / 2.2.4:
Z-Estimators / 2.2.5:
M-Estimators / 2.2.6:
Other Topics / 2.3:
Exercises / 2.4:
Notes / 2.5:
Overview of Semiparametric Inference / 3:
Semiparametric Models and Efficiency / 3.1:
Score Functions and Estimating Equations / 3.2:
Maximum Likelihood Estimation / 3.3:
Case Studies I / 3.4:
Linear Regression / 4.1:
Mean Zero Residuals / 4.1.1:
Median Zero Residuals / 4.1.2:
Counting Process Regression / 4.2:
The General Case / 4.2.1:
The Cox Model / 4.2.2:
The Kaplan-Meier Estimator / 4.3:
Efficient Estimating Equations for Regression / 4.4:
Simple Linear Regression / 4.4.1:
A Poisson Mixture Regression Model / 4.4.2:
Partly Linear Logistic Regression / 4.5:
Empirical Processes / 4.6:
Introduction to Empirical Processes / 5:
Preliminaries for Empirical Processes / 6:
Metric Spaces / 6.1:
Outer Expectation / 6.2:
Linear Operators and Functional Differentiation / 6.3:
Proofs / 6.4:
Stochastic Processes in Metric Spaces / 6.5:
Weak Convergence / 7.2:
General Theory / 7.2.1:
Spaces of Bounded Functions / 7.2.2:
Other Modes of Convergence / 7.3:
Empirical Process Methods / 7.4:
Maximal Inequalities / 8.1:
Orlicz Norms and Maxima / 8.1.1:
Maximal Inequalities for Processes / 8.1.2:
The Symmetrization Inequality and Measurability / 8.2:
Glivenko-Cantelli Results / 8.3:
Donsker Results / 8.4:
Entropy Calculations / 8.5:
Uniform Entropy / 9.1:
VC-Classes / 9.1.1:
BUEI Classes / 9.1.2:
Bracketing Entropy / 9.2:
Glivenko-Cantelli Preservation / 9.3:
Donsker Preservation / 9.4:
The Bootstrap for Donsker Classes / 9.5:
An Unconditional Multiplier Central Limit Theorem / 10.1.1:
Conditional Multiplier Central Limit Theorems / 10.1.2:
Bootstrap Central Limit Theorems / 10.1.3:
Continuous Mapping Results / 10.1.4:
The Bootstrap for Glivenko-Cantelli Classes / 10.2:
A Simple Z-Estimator Master Theorem / 10.3:
Additional Empirical Process Results / 10.4:
Bounding Moments and Tail Probabilities / 11.1:
Sequences of Functions / 11.2:
Contiguous Alternatives / 11.3:
Sums of Independent but not Identically Distributed Stochastic Processes / 11.4:
Central Limit Theorems / 11.4.1:
Bootstrap Results / 11.4.2:
Function Classes Changing with n / 11.5:
Dependent Observations / 11.6:
Main Results and Proofs / 11.7:
Examples / 12.2:
Composition / 12.2.1:
Integration / 12.2.2:
Product Integration / 12.2.3:
Inversion / 12.2.4:
Other Mappings / 12.2.5:
Consistency / 12.3:
The General Setting / 13.2:
Using Donsker Classes / 13.2.2:
A Master Theorem and the Bootstrap / 13.2.3:
Using the Delta Method / 13.3:
The Argmax Theorem / 13.4:
Rate of Convergence / 14.2:
Regular Euclidean M-Estimators / 14.4:
Non-Regular Examples / 14.5:
A Change-Point Model / 14.5.1:
Monotone Density Estimation / 14.5.2:
Case Studies II / 14.6:
Partly Linear Logistic Regression Revisited / 15.1:
The Two-Parameter Cox Score Process / 15.2:
The Proportional Odds Model Under Right Censoring / 15.3:
Nonparametric Maximum Likelihood Estimation / 15.3.1:
Existence / 15.3.2:
Score and Information Operators / 15.3.3:
Weak Convergence and Bootstrap Validity / 15.3.5:
Testing for a Change-point / 15.4:
Large p Small n Asymptotics for Microarrays / 15.5:
Assessing P-Value Approximations / 15.5.1:
Consistency of Marginal Empirical Distribution Functions / 15.5.2:
Inference for Marginal Sample Means / 15.5.3:
Semiparametric Inference / 15.6:
Introduction to Semiparametric Inference / 16:
Preliminaries for Semiparametric Inference / 17:
Projections / 17.1:
Hilbert Spaces / 17.2:
More on Banach Spaces / 17.3:
Tangent Sets and Regularity / 17.4:
Efficiency / 18.2:
Optimality of Tests / 18.3:
Efficient Inference for Finite-Dimensional Parameters / 18.4:
Efficient Score Equations / 19.1:
Profile Likelihood and Least-Favorable Submodels / 19.2:
The Cox Model for Right Censored Data / 19.2.1:
The Proportional Odds Model for Right Censored Data / 19.2.2:
The Cox Model for Current Status Data / 19.2.3:
Inference / 19.2.4:
Quadratic Expansion of the Profile Likelihood / 19.3.1:
The Profile Sampler / 19.3.2:
The Penalized Profile Sampler / 19.3.3:
Other Methods / 19.3.4:
Efficient Inference for Infinite-Dimensional Parameters / 19.4:
Semiparametric Maximum Likelihood Estimation / 20.1:
Weighted and Nonparametric Bootstraps / 20.2:
The Piggyback Bootstrap / 20.2.2:
Semiparametric M-Estimation / 20.2.3:
Semiparametric M-estimators / 21.1:
Motivating Examples / 21.1.1:
General Scheme for Semiparametric M-Estimators / 21.1.2:
Consistency and Rate of Convergence / 21.1.3:
[radical]n Consistency and Asymptotic Normality / 21.1.4:
Weighted M-Estimators and the Weighted Bootstrap / 21.2:
Entropy Control / 21.3:
Examples Continued / 21.4:
Cox Model with Current Status Data (Example 1, Continued) / 21.4.1:
Binary Regression Under Misspecified Link Function (Example 2, Continued) / 21.4.2:
Mixture Models (Example 3, Continued) / 21.4.3:
Penalized M-estimation / 21.5:
Two Other Examples / 21.5.1:
Case Studies III / 21.6:
The Proportional Odds Model Under Right Censoring Revisited / 22.1:
Efficient Linear Regression / 22.2:
Temporal Process Regression / 22.3:
A Partly Linear Model for Repeated Measures / 22.4:
References / 22.5:
Author Index
List of symbols
Subject Index
Preface
Overview / I:
Introduction / 1:
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