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Development of Modern Statistics and Related Topics : In Celebration of Prof Yaoting Zhang's 70th Birthday.
Title:
Development of Modern Statistics and Related Topics : In Celebration of Prof Yaoting Zhang's 70th Birthday.
Author:
Zhang, Heping.
ISBN:
9789812796707
Personal Author:
Physical Description:
1 online resource (301 pages)
Series:
Series in Biostatistics ; v.1

Series in Biostatistics
Contents:
Contents -- Preface -- An Interview with Professor Yaoting Zhang -- Growing Up -- Professor Paolu Hsu and Statistics -- During the 'Culture Revolution' -- After 'Culture Revolution' -- I am Proud of My Students -- Significance Level in Interval Mapping -- 1. Introduction -- 2. Known Results -- 3. A Combined Approximation -- 4. The Interval Mapping Process in the Gaussian Limit -- 5. Likelihood Ratio Transformation -- 6. Rice-Davies Approximation -- 7. Evaluation of (9) -- 8. Remarks -- References -- An Asymptotic Pythagorean Identity -- 1. Introduction -- 2. Pythagorean Identity for Variance Calculation -- 3. Examples -- 4. Remarks -- References -- A Monte Carlo Gap Test in Computing HPD Regions -- 1. Introduction -- 2. Current Monte Carlo Methods -- 3. Monte Carlo Gap Tests -- 4. A Simulation Study -- 5. Concluding Remarks -- References -- Estimating Restricted Normal Means Using the EM-type Algorithms and IBF Sampling -- 1. Introduction -- 2. Nonproduct versus Product Parameter Space -- 3. Estimation When Variances Are Known -- 4. Estimation when variances are Unknown -- 5. Applications -- 6. Discussion -- References -- An Example of Algorithm Mining: Covariance Adjustment to Accelerate EM and Gibbs -- 1. An Overview -- 2. The Student-t Distribution -- 3. The EM Algorithm -- 4. The DA Algorithm -- 5. The PX-EM Algorithm -- 6. The PX-DA Algorithm -- 7. The CA-DA Algorithm -- 8. Discussion -- References -- Large Deviations and Deviation Inequality for Kernel Density Estimator in L1(RD)-distance -- 1. Introduction -- 2. Main Results -- 3. Proofs of the Main Results -- References -- Local Sensitivity Analysis of Model Misspecification -- 1. Introduction -- 2. A Tubular Class of Surrounding Models -- 3. Bias and Score Basis -- 4. Comments -- References.

Empirical Likelihood Confidence Intervals for the Difference of Two Quantiles of a Population -- 1. Introduction -- 2. Main Results -- 3. A Simulation Study -- 4. Proofs of Theorems 2.1 and 2.2 -- References -- Exponential Inequalities for Spatial Processes and Uniform Convergence Rates for Density Estimation -- 1. Introduction -- 2. Exponential Type Inequalities -- 3. Density Estimation for Spatial Processes -- References -- A Skew Regression Model for Inference of Stock Volatility -- 1. Introduction -- 2. A Skew Normal Regression Model -- 3. Inference of the Volatility Parameter B -- References -- Explicit Transitional Dynamics in Growth Models -- 1. Introduction -- 2. U-P Pairs in Discrete Time Framework -- 3. Continuous Time Framework -- 4. More on Continuous Time Framework -- 5. Continuous Time Stochastic Models -- 6. Conclusion -- References -- A Fiscal Federalism Approach to Optimal Taxation and Intergovernmental Transfers in a Dynamic Model -- 1. Introduction -- 2. The Framework -- 3. The Stackelberg Game between the Federal Government and Local Government -- 4. Summary -- References -- Sharing Catastrophe Risk under Model Uncertainty -- 1. Introduction -- 2. Empirical Observations about Pricing of Catastrophe Risk -- 3. A Simple Model of Risk Sharing -- 4. Risk Premium of Catastrophic Events -- 5. Uncertainty Premium of Catastrophic Events -- 6. Why Uncertainty Premium is High for Catastrophic Events? -- 7. Conclusion -- References -- Ranked Set Sampling: A Methodology for Observational Economy -- 1. Introduction -- 2. Ranked Set Sampling and Its Basic Properties -- 3. Ranked Set Sampling with Concomitant Variables -- 4. Design with Observational Data -- 5. Ranked Set Sampling and Data Mining -- References -- Some Recent Advances on Response-Adaptive Randomized Designs -- 1. Introduction -- 2. Optimal Allocation.

3. Adaptive Designs -- 4. Some Further Topics and Discussions -- References -- A Childhood Epidemic Model with Birthrate-Dependent Transmission -- 1. Introduction -- 2. The Effect of Birth Rate -- 3. Estimation of the Model -- 4. Signatures of Measles Dynamics -- 5. Conclusions -- References -- Linear Regression Analysis with Observations Subject to Interval Censoring -- 1. Introduction -- 2. Data and Model -- 3. Least-square Estimation -- 4. Non-parametric Estimation -- 5. Application and Conclusion -- References -- When Can the Haseman-Elston Procedure for Quantitative Trait Loci be improved? Insights from Optimal Design Theory -- 1. Introduction -- 2. The Optimal Design for the Haseman-Elston Procedure -- 3. Power Comparison -- 4. Discussion -- References -- A Semiparametric Method for Mapping Quantitative Trait Loci -- 1. Introduction -- 2. The LR Test for Linkage Based on Semiparametric Normal Copula Distributions -- 3. Discussion -- References -- Structure Mixture Regression Models -- 1. Introduction -- 2. Structure Mixture Regression Models -- 3. Main Results -- 4. Discussion -- References.
Abstract:
This book encompasses a wide range of important topics. The articles cover the following areas: asymptotic theory and inference, biostatistics, economics and finance, statistical computing and Bayesian statistics, and statistical genetics. Specifically, the issues that are studied include large deviation, deviation inequalities, local sensitivity of model misspecification in likelihood inference, empirical likelihood confidence intervals, uniform convergence rates in density estimation, randomized designs in clinical trials, MCMC and EM algorithms, approximation of p-values in multipoint linkage analysis, use of mixture models in genetic studies, and design and analysis of quantitative traits. Contents: An Interview with Professor Yaoting Zhang (Q-W Yao & Z-H Li); A Monte Carlo Gap Test in Computing HPD Regions (M-H Chen et al.); An Example of Algorithm Mining: Covariance Adjustment to Accelerate EM and Gibbs (C-H Liu); Empirical Likelihood Confidence Intervals for the Difference of Two Quantiles of a Population (Y-S Qin & Y-H Wu); Sharing Catastrophe Risk Under Model Uncertainty (X-D Zhu); Some Recent Advances on Response-Adaptive Randomized Designs (F-F Hu); A Childhood Epidemic Model with Birthrate-Dependent Transmission (Y-C Xia); Structure Mixture Regression Models (H-T Zhu & H-P Zhang); and other papers. Readership: Graduate students, academics and researchers in statistics; policy-makers in finance; health scientists and practitioners.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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