Nonparametric statistical methods and related topics : a festschrift in honor of Professor P.K. Bhattacharya on the occasion of his 80th birthday / editors: J. Jiang, G.G. Roussas, F.J. Samaniego.

Format:

Book

Contributor:

Bhattacharya, Prodyot K.

Jiang, Jiming.

Roussas, George G.

Samaniego, Francisco J.

Language:

English

Subjects (All):

Nonparametric statistics.

Mathematical statistics.

Physical Description:

1 online resource (479 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2012.

Language Note:

English

Summary:

This volume consists of 22 research papers by leading researchers in Probability and Statistics. Many of the papers are focused on themes that Professor Bhattacharya has published on research. Topics of special interest include nonparametric inference, nonparametric curve fitting, linear model theory, Bayesian nonparametrics, change point problems, time series analysis and asymptotic theory. This volume presents state-of-the-art research in statistical theory, with an emphasis on nonparametric inference, linear model theory, time series analysis and asymptotic theory. It will serve as a valuab

Contents:

Preface; Contents; Review Papers; 1. On the Scholarly Work of P. K. Bhattacharya P. Hall and F. J. Samaniego; 1. Introduction; 2. Early work and foundations for the future; 3. Forays into decision theory; 4. Work on density estimation and related problems; 5. Special explorations; 6. Work on statistical quality control; 7. Work of cosmic significance; 8. Inference about change points; 9. Discussion; References; 2. The Propensity Score and Its Role in Causal Inference C. Drake and T. Loux; 1. Introduction; The Rubin Causal Model (RCM); 2. The propensity score; 3. Propensity score estimation

4. Applications of propensity scores5. Summary; References; 3. Recent Tests for Symmetry with Multivariate and Structured Data: A Review S. G. Meintanis and J. Ngatchou-Wandji; 1. Introduction; 2. Notions of and testing for multivariate symmetry; 2.1. Diagonal symmetry; 2.2. Spherical symmetry; 2.3. Elliptical symmetry; 3. Testing symmetry with structured data; 3.1. Linear regression; 3.2. Nonparametric regression; 3.3. Conditional symmetry in time series; 4. Testing for symmetry in random effect models; 4.1. Model and tests; 4.2. Specification of estimation and test statistics

4.3. Simulations5. Other procedures for testing symmetry and conclusion; References; Papers on General Nonparametric Inference; 4. On Robust Versions of Classical Tests with Dependent Data J. Jiang; 1. Introduction; 2. Robust Tests; 2.1. Basic idea, assumptions, and examples; 2.2. The W-, S-, and L- test statistics; 3. Asymptotic theory; 4. Application to mixed linear models; Acknowledgments; Appendix A. Proofs; References; 5. Density Estimation by Sampling from Stationary Continuous Time Parameter Associated Processes G. G. Roussas and D. Bhattacharya; 1. Introduction

2. Asymptotic unbiasedness and representation of the bias3. Asymptotic behavior of the variance of the estimate and consistency in quadratic mean; 4. Asymptotically uncorrelated; 5. Uniform strong convergence of the estimates; References; 6. A Short Proof of the Feigin-Tweedie Theorem on the Existence of the Mean Functional of a Dirichlet Process J. Sethuraman; 1. Introduction; 2. Dirichlet processes; 3. Two-parameter Dirichlet processes; References; 7. Max-Min Bernstein Polynomial Estimation of a Discontinuity in Distribution K.-S. Song; 1. Introduction

2. Max-Min Bernstein Polynomial Estimation Method3. Main Result; 4. Proofs; 5. Numerical Experiments; Acknowledgments; References; 8. U-Statistics Based on Higher-Order Spacings D. D. Tung and S. R. Jammalamadaka; 1. Introduction; 2. The Asymptotic Null Distribution; 3. The Asymptotic Distribution Under a Sequence of Close Alternatives; 4. The Asymptotically Locally Most Powerful Test; 5. Conclusion; References; 9. Nonparametric Models for Non-Gaussian Longitudinal Data N. Zhang, H.-G. M ller and J.-L. Wang; 1. Introduction

2. Functional Principal Component Analysis via Quasilikelihood Maximization (FPCA-Q)

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9789814366571

9814366579

OCLC:

877767546