by Shelemyahu Zacks
Stage-Wise Adaptive Designs presents the theory and methodology of stage-wise adaptive design across various areas of study within the field of statistics, from sampling surveys and time series analysis to generalized linear models and decision theory.
Stage-Wise Adaptive Designs is an excellent supplement to statistics courses at the upper-undergraduate and graduate levels.
It also serves as a valuable reference for researchers and practitioners in the fields of statistics and biostatistics.
Contents
1. Synopsis
- Multi-Stage and Sequential Estimation
- Adaptive Designs for Generalized Linear Models
- Adaptive Methods for Sampling from Finite Populations
- Adaptive Prediction and Forecasting in Time Series Analysis
- Adaptive Search of an MTD in Cancer Phase I Clinical Trials
- Adaptive and Sequential Procedures in Phase III of Clinical Trials
- Sequential Allocation of Resources
- Sequential Detection of Change Points
- Sequential Methods in Industrial Testing, Reliability, and Design of Experiments
2. Multi-Stage and Sequential Estimation
- Stein’s Two-Stage Procedure
- Modifications to Attain Asymptotic Efficiency
- Two-Stage Sampling From Exponential Distributions
- Sequential Fixed-Width Interval Estimation
- Distributions of Stopping Variables of Sequential Sampling
- Sequential Fixed-Width Intervals for the Log-Odds in Bernoulli Trials
- Bayesian Sequential Estimation
3. Adaptive Designs For Generalized Linear Models
- Exponential Example
- Adaptive Designs for the Fisher Information
- Adaptive Bayesian Designs
- Adaptive Designs for Inverse Regression
- Stochastic Approximation
4. Adaptive Methods for Sampling from Finite Populations
- Basic Theory
- Two-Stage and Sequential Estimation of the Population Mean
- Adaptive Allocation of Stratified SRS
- Adaptive Search for Special Units
- Adaptive Estimation of the Size of a Finite Population
- Applications in Software Reliability
- Sampling Inspection Schemes
- Dynamic Bayesian Prediction
5. Adaptive Prediction and Forecasting in Time Series Analysis
- Basic Tools of Time Series Analysis
- Linear Predictors for Covariance Stationary T.S
- Quadratic LSE Predictors for Nonstationary T.S
- Moving Averages Predictors for Non-Stationary T.S
- Predictors for General Trends with Exponential Discounting
- Dynamic Linear Models
- Asymptotic Behavior of DLM
- Linear Control of DLM
6. Adaptive Search of an MTD in Cancer Phase I Clinical Trials
- Up-And-Down Adaptive Designs
- Bayesian Adaptive Search: The Continuous Reassessment Method
- Efficient Dose Escalation with Overdose Control
- Patient-Specific Dosing
- Toxicity versus Efficacy
7. Adaptive and Sequential Procedures in Clinical Trials, Phases II and III
- Randomization in Clinical Trials
- Adaptive Randomization Procedures
- Fixed-Width Sequential Estimation of the Success Probability in Bernoulli Trials
- Sequential Procedure for Estimating the Probability of Success in Bernoulli Trials
- Sequential Comparison of Success Probabilities
- Group Sequential Methods
- Dynamic Determination of Stage-Wise Samples Size
8. Sequential Allocation of Resources
- Bernoulli Bandits
- Gittins Dynamic Allocation Indices
- Sequential Allocations in Clinical Trials
- Bernoulli Bandits with Change-Point
- Sequential Designs for Estimating the Common Mean of Two Normal Distributions: One Variance Known
9. Sequential Detection of Change-Points
- Bayesian Detection When the Distribution Before and After the Change Are Known
- Bayesian Detection When the Distributions Before and After the Change Are Unknown
- CUSUM Procedures for Sequential Detection
- Tracking Algorithms for Processes with Change Points
- Recursive Estimation with Change-Points
- Additional Theoretical Contributions
10. Sequential Methods in Industrial Testing
- Sequential Testing (SPRT)
- Characteristics of Sequential Procedures in Reliability Estimation and Testing
- Some Comments on Sequential Design of Experiments
- Sequential Testing of Software Reliability
Contents
Index
to see books of related interest