RESEARCH IN APPLIED STATISTICAL SCIENCE

RESEARCH IN APPLIED STATISTICAL SCIENCE

LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA

CONTENTS

PREFACE

Chapter 1: EDF GOODNESS-OF-FIT TESTS FOR TESTING THE DISTRIBUTIONAL ASSUMPTIONS IN ONE-WAY REGRESSION MODEL

Abstract

1. Introduction

2. Characterization of Normal Distribution Related to Two Samples Based on Student’s Law

3. Characterization of Normal Distribution Related to k Samples Based on Student’s Law

4. Application to Goodness-of-Fit Tests

References

Chapter 2: SAMPLE SIZE DETERMINATION FOR BETWEEN GROUP COMPARISONS IN MIXED-EFFECTS LOGISTIC REGRESSION MODELS FOR ANALYSIS OF LONGITUDINAL DATA

Abstract

1. Introduction

2. Modeling and Estimation

3. Methodology for Determining Sample Size

4. Illustration

5. Simulation Study for Power Characteristics

6. Conclusion

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Chapter 3: MATHEMATICAL MODELING OF MORTALITY FOR COUNTRIES WITH LIMITED AND DEFECTIVE DATA

Abstract

1. Introduction

2. Methodology

3. The Model

4. Interpretation of the Parameters

5. Advantages of the Model

6. Conclusion

7. Probabilistic Analysis of the Parameters

Appendix A. Computational Procedure

Appendix B. Tables

Appendix C. Figures

References

Chapter 4: ON CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTIONS

Abstract

1. Introduction

2. Results

References

Chapter 5: ESTIMATION OF P[Y < X] FOR GENERALIZED LOGISTIC DISTRIBUTION

Abstract

1. Introduction

2. Estimation of R = P(Y < X)

3. Interval Estimation of R

4. Monte-Carlo Simulation and Comparisons

5. Concluding Remarks

References

Chapter 6: A CLASS OF SATURATED BINARY S-OPTIMAL ROW-COLUMN DESIGNS

Abstract

1. Introduction

2. Saturated Row-Column Designs

3. Main Results

4. Concluding Remarks

References

Chapter 7: MULTIPLY AND PARTIALLY CONFOUNDED FACTORIAL BIB DESIGNS

Abstract

1. Introduction

2. Construction and Analysis

3. Example

Conclusion

References

Chapter 8: AN EXTENDED VERSION OF HYPER POISSON DISTRIBUTION AND SOME OF ITS APPLICATIONS

Abstract

1. Introduction

2. Derivation of the EHP Distribution

3. Properties

4. Estimation

Acknowledgment

References

Chapter 9: REPEATED MEASUREMENTS DESIGNS FOR COMPARING TWO DISJOINT SETS OF FORMULATIONS IN BIOEQUIVALENCE TRIALS

Abstract

1. Introduction

2. Experimental Set Up and Definitions

3. CSRMDS for Bioequivalence Trials

4. ISRMDS for Bioequivalence Trials

Acknowledgments

References

Chapter 10: ROLE OF CATEGORICAL VARIABLES IN MULTICOLLINEARITY IN LINEAR REGRESSION MODEL

Abstract

1. Introduction

2. Model and Diagnostics

3. Choice of Reference Category

4. Application to Real Data Set

5. Summary

References

Chapter 11: PREDICTIVE INFERENCE FROM TWO-PARAMETER WEIBULL MODEL GIVEN A DOUBLY CENSORED SAMPLE OF HEPATOCELLULAR CARCINOMA OF LIVER PATIENTS

Abstract

1. Introduction

2. Predictive Inference for a Single Future Response when Known

3. Predictive Inference for a Single Future Response when Unknown

4. A Numerical Example

5. Conclusion

Acknowledgments

References

Chapter 12: PARAMETERS ESTIMATION OF THE LOG-LOGISTIC DISTRIBUTION USING RANKED SET SAMPLING

Abstract

1. Introduction and Motivation

2. Estimation of the Scale and Shape Parameters Using SRS

3. Maximum Likelihood Estimation of Parameters under RSS

4. Conclusion

References

Chapter 13: CHARACTERIZATION OF SOME DISCRETE FAMILIES BASED ON DOUBLY TRUNCATED MEAN AND COVARIANCE

Abstract

1. Introduction

2. Main Results

3. Examples

4. Summary

References

Chapter 14: DIFFERENT METHODS OF ESTIMATION FOR MARSHALL OLKIN EXPONENTIAL DISTRIBUTION

Abstract

1. Introduction

2. Maximum Likelihood Estimators

3. Method of Moments Estimators

4. Estimators Based on Percentiles

5. Least Squares and Weighted Least Square Estimators

6. L-moment Estimators

7. Numerical Computations and Discussions

Acknowledment

References

Chapter 15: CHARACTERIZATION OF BETA AND GAMMA DISTRIBUTION BASED ON THE DOUBLY TRUNCATED MEAN FUNCTION

Abstract

1. Introduction

2. Definitions

3. Characterization Theorems

Appendix

References

Chapter 16: ESTIMATION OF THE SEASONAL ACF OF PAR(1) MODEL IN THE PRESENCE OF ADDITIVE OUTLIERS

Abstract

1. Introduction

2. The SACF Of PAR(1) Model

3. Robust Estimation of the SACF of PAR(1) Model

4. Methodology and Simulation Results

5. Discussion of Results

6. An Application on Real Data

7. Conclusion

References

Chapter 17: REGRESSION MODELS FOR POISSON DATA BASED ON ACCELERATED LIFETIME TESTING

Abstract

1. Introduction

2. Parametric Poisson Process Methods

3. Example

4. Concluding Remarks

Acknowledgment

References

Chapter 18: ON METHODS OF CONSTRUCTION OF PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS WITH THREE-ASSOCIATE-CLASS ASSOCIATION SCHEME

Abstract

1. Introduction

2. Methods of Construction

References

Chapter 19: LOWER GENERALIZED ORDER STATISTICS OF GENERALIZED INVERSE WEIBULL DISTRIBUTION

Abstract

1. Introduction

2. Relations for Single Moments

3. Relations for Product Moments

4. Characterization

Acknowledgments

References

Chapter 20: CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS CONDITIONED ON A PAIR OF NON-ADJACENT GENERALIZED ORDER STATISTICS USING MEIJER’S G-FUNCTION

Abstract

1. Introduction

2. Characterization of Distributions

Acknowledgment

References

Chapter 21: EMPIRICAL BAYES METHOD ON CHANGEPOINTS ESTIMATION OF TUMOR GROWTH PROFILES IN XENOGRAFT EXPERIMENTS

Abstract

1. Introduction

2. Change Point Problem and Empirical Bayes Method

3. Detection of Change Points of Tumor Growth

Acknowledgments

Appendix

References

INDEX