Applied Sequential Methodologies Real World Examples with Data Analysis 1st Edition by Nitis Mukhopadhyay, Sujay Datta, Saibal Chattopadhyay – Ebook PDF Instant Download/Delivery: 082475395X, 978-0824753955
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ISBN 10: 082475395X
ISBN 13: 978-0824753955
Author: Nitis Mukhopadhyay, Sujay Datta, Saibal Chattopadhyay
Applied Sequential Methodologies Real World Examples with Data Analysis 1st Table of contents:
Chapter 1: Passive Acoustic Detection of Marine Mammals Using Page’s Test
- Introduction
- Acoustic Detection of Marine Mammals
- Methodology and Analysis
- Algorithm Specifics
- Detection Results
- Localization
- Concluding Remarks
- Acknowledgment
- References
Chapter 2: Two-Stage Procedures for Selecting the Best Component of a Multivariate Exponential Distribution
- Introduction
- A Specific Application
- The Rule RI
- The Rule R2
- Methodologies and Analysis
- Two-Stage Procedure for R1
- Two-Stage Procedure for R2
- Concluding Remarks
- Acknowledgment
- References
Chapter 3: Sequential Randomization Tests
- Motivating Background
- Formulation and Review of Existing Procedures
- Sequential Estimation of Ap-Value
- An Illustrative Example
- Concluding Remarks
- Acknowledgment
- References
Chapter 4: Sequential Methods for Multistate Processes
- Introduction and the General Scheme
- Analysis and Prediction of Electricity Prices
- Methodology and Implementation
- Other Applications
- Concluding Remarks
- References
Chapter 5: Sequential Adaptive Designs for Clinical Trials with Longitudinal Responses
- Introduction
- Longitudinal Binary Responses
- Longitudinal Ordinal Responses
- Longitudinal Multivariate Ordinal Responses
- Incorporating Prognostic Factors
- Longitudinal Continuous Responses
- An Application
- Concluding Remarks
- Acknowledgment
- References
Chapter 6: Sequential Approaches to Data Mining
- Introduction
- Medical Insurance Proceeds
- Clustering Tree
- Stratification
- Computational Complexity
- Sequential Fixed-Width Interval Estimation
- Concluding Remarks
- Acknowledgment
- References
Chapter 7: Approximations and Bounds for Moving Sums of Discrete Random Variables
- Introduction
- The Distribution and Expectation of Wk m
- Bernoulli Model
- Binomial and Poisson Models
- Numerical Results
- Concluding Remarks
- Acknowledgment
- References
Chapter 8: Estimation of the Slope in a Measurement-Error Model
- Introduction and Motivation
- Justification of Model and Literature Survey
- Methodologies and Analyses
- A Sketch of the Proof of Theorem 8.3.2
- Concluding Remarks
- Appendix
- Acknowledgment
- References
Chapter 9: Kernel Density Estimation of Wool Fiber Diameter
- Introduction
- The Formulation
- Literature Review and Specific Aims
- Specific Aims
- A Two-Stage Procedure
- Bandwidth Selection
- Initial Sample Size Selection
- Properties of the Methodology
- Smooth Bootstrapping
- A Simulation Study
- Application to Wool Fiber Diameter Data
- Concluding Remarks
- Appendices
- Appendix A: Biases, Variances, and Covariances of Density Estimator
- Appendix B: The Computer Programs
- Appendix C: A Typical AWTA Ltd Wool Certificate
- Acknowledgment
- References
Chapter 10: Financial Applications of Sequential Nonparametric Curve Estimation
- Introduction
- Capital Asset Price Model
- Nonparametric Regression Analysis
- Applications
- Technical Details
- Concluding Remarks
- References
Chapter 11: Interim and Terminal Analyses of Clinical Trials with Failure-Time Endpoints
- Introduction
- Interim and Terminal Analyses of BHAT Data
- Analysis by the Data and Safety Monitoring Board
- Further Analysis of BHAT Data
- Design and Analysis of Group (or Time) Sequential Trials
- Time-Sequential Rank Statistics and Their Asymptotic Distributions
- Two Time Scales and Some Stopping Rules
- Theory of Group Sequential Boundaries
- Stochastic Curtailment
- Confidence Intervals in Group Sequential Designs
- Concluding Remarks
- References
Chapter 12: Applications of Sequential Tests to Target Tracking by Multiple Models
- Introduction
- An Example
- Formulation and Statistical Methods
- Sequential Solutions for Problems Involving Two Model-Sets
- Sequential Solutions for Multihypothesis Problems
- Aircraft Motion Example: Evaluating Performance
- Appendix
- Acknowledgment
- References
Chapter 13: A Sequential Procedure That Controls Size and Power in a Multiple Comparison Problem
- Introduction
- A Three-Stage Procedure
- A Validation Study via Simulation
- Concluding Remarks
- Acknowledgment
- References
Chapter 14: How Many Simulations Should One Run?
- Introduction: One-Sample T-Test
- Formulation, Loss, and Risk Functions, and Objective
- The Formulation
- A Relative Squared Error Loss Function
- The Objective: Prespecified Proportional Accuracy
- A Purely Sequential Methodology
- A Two-Stage Methodology
- The Motivation
- Computer Simulations
- The Purely Sequential Methodology
- The Two-Stage Methodology
- Comparing the Two Methodologies and Conclusions
- Large-Sample Properties
- The Purely Sequential Methodology
- The Two-Stage Methodology
- Acknowledgment
- References
Chapter 15: Sequential Estimation in the Agricultural Sciences
- Introduction
- A Specific Application
- Methodology and Analysis
- Concluding Remarks
- Acknowledgment
- References
Chapter 16: Whither Group-Sequential or Time-Sequential Interim Analysis in Clinical Trials?
- Introduction
- Interim Analysis: Genesis and Anatomy
- Statistical Surveillance
- Evolution of Time Sequential Methods
- Concluding Remarks
- Acknowledgment
- References
Chapter 17: Change-Point Detection in Multichannel and Distributed Systems
- Introduction
- Multichannel Change Detection: Theory
- Problem Formulation
- Detection Procedure and False Alarm Rate
- Asymptotic Performance for Low FAR
- Composite Hypotheses: Adaptive Detection Procedures
- Detection in Distributed Sensor Systems
- Applications and Experimental Results
- Target Detection and Tracking in Surveillance Systems
- Rapid Attack/Intrusion Detection
- Decentralized Detection Example and Simulation Results
- Concluding Remarks
- Appendix
- Proof of Theorem 17.2.1
- Proof of Theorem 2
- Acknowledgment
- References
Chapter 18: Extension of Hochberg’s Two-Stage Multiple Comparison Method
- Introduction
- Application to a Schizophrenia Study
- Methodology
- Simulation Results
- Concluding Remarks
- References
Chapter 19: Sequential Testing in the Agricultural Sciences
- Introduction
- Greenbugs on Sorghum
- The SPRT
- The 2-SPRT
- Binomial Sampling Based on the Negative Binomial
- Binomial Sampling Based on an Ecological Model
- Concluding Remarks
- Acknowledgment
- References
Chapter 20: Bayesian Sequential Procedures For Ordering Genes
- Introduction: The Gene Ordering Problem
- Basic Model of Independence
- Orders, Gametes, and Recombination
- The General Case
- Bayesian Testing
- Posterior Order Probabilities
- Bayesian Sequential Testing
- Bayesian Testing with Fixed Sample Sizes
- Stepwise Ordering
- Stepwise Search for Maximal Posterior (SSMAP)
- Applications in Genetic Counseling
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