APPLIED STATISTICAL THEORY AND APPLICATIONS

APPLIED STATISTICAL THEORY AND APPLICATIONS

LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA

CONTENTS

PREFACE

Chapter 1: ERROR ANALYSIS ON THE QUASI-NEGATIVE BINOMIAL DISTRIBUTION

Abstract

1. Introduction

2. Error Analysis of the QNBD

3. Truncated Quasi-Negative Binomial Distribution

4. Application to the Number of Absenteeism among Shift-Workers

5. Conclusion

Acknowledgments

References

Chapter 2: A NEW FAMILY OF SKEW SLASH LOGISTIC DISTRIBUTIONS

Abstract

1. Introduction

2. Overview of Slash Distribution

3. Slash Logistic Distribution

4. Skew Slash Logistic Distribution

5. Discussion

Acknowledgment

References

Chapter 3: ON THE MOMENTS OF SAMPLE COVARIANCE FROM A BIVARIATE NORMAL POPULATION

Abstract

1. Introduction

2. Distribution of the Sample Covariance

3. Moments of the Sample Covariance

4. Conclusion

Acknowledgments

References

Chapter 4: BAYESIAN IDENTIFICATION OF TWO DIMENSIONAL MOVING AVERAGE PROCESSES

Abstract

1. Introduction

2. Two Dimensional Moving Average Processes

3. Indirect Bayesian Identification Technique

4. The Posterior ProbabilityMass Function of theModel Order

5. A Numerical Study

Summary and Conclusion

Acknowledgment

References

Chapter 5: ON THE USE OF MOMENT ESTIMATORS TO TEST FOR A ZERO INFLATED POISSON (ZIP) DISTRIBUTION

Abstract

1. Introduction

2. Methodology

3. Hypothesis Testing Procedures

4. Locally Most Powerful Test ( LMP Test)

5. Power Computation

6. Conclusion

Acknowledgment and Dedication

References

Chapter 6: OPTIMAL DESIGNING OF A VARIABLES QUICK SWITCHING SAMPLING SYSTEM BY MINIMZING THE AVERAGE SAMPLE NUMBER

Abstract

1. Introduction

2. Conditions of Application and Operating Procedure

3. Operating Characteristics of a Variables Quick Switching System

4. Designing of a Known Sigma Variables Quick Switching System

5. Designing of Unknown Sigma Variables QS System

6. Examples

7. Advantages of the Variables Quick Switching System

8. Comparison of Parameters of Variables QSS

9. Conclusions

Acknowledgments

References

Chapter 7: CHARACTERISTICS OF BIBD AND COMPLEMENTARY BIBD IN TERMS OF TRIPLETS OF TREATMENTS

Abstract

1. Introduction

2. Triplets of Balanced Incomplete Block Design

3. Triplets of Union of BIB Design and Its Complementary BIB Design

Acknowledgments

References

Chapter 8: BAYESIAN INFERENCE FOR AN IMPATIENT M|M|1 QUEUE WITH BALKING

Abstract

1. Introduction

2. MLE OF p and Its Exact Distribution

3. Bayes Estimator of p

4. Expected Number of Customers in the System

5. MLE and CAN Estimator for the Expected Number of Customers in the System

Acknowledgment

References

Chapter 9: INTERVAL ESTIMATION FOR WEIBULL DISTRIBUTION BASED ON A SAMPLE OF SIZE ONE

Abstract

1. Introduction

2. Confidence Interval for l Based on Sample of Size One

3. Bounds for l Based on n( 2)

Acknowledgment

References

Chapter 10: INFERENCES UNDER TRUNCATED GENERALIZED CAUCHY DISTRIBUTION

Abstract

1. Introduction

2. Maximum Likelihood Estimation

3. Bayes Estimation

4. BPI’s of Future Observation Based on One-Sample Scheme

5. BPI’s of Future Observation Based on Two-Sample Scheme

6. Simulation Study

Concluding Remarks

References

Chapter 11: UNBIASED RIDGE ESTIMATION WITH MULTIPLE SOURCES OF PRIOR INFORMATION

Abstract

1. Introduction

2. Matrix Convex Combination of Several Random Variables

3. Composite Unbiased Ridge Estimator

4. Proposed Ridge Estimators with Multicollinearity

5. Summary

References

Chapter 12: ON AN ASYMPTOTIC COMPARISON OF MAXIMUM LIKELIHOOD AND BERKSON’S MODIFIED MINIMUM CHI-SQUARE ESTIMATES IN THE TWO PARAMETER DOSE RESPONSE MODELS

Abstract

1. Introduction

2. Models and Notations

3. Multistage Weibull Model

4. Logistic Model

5. Log-Logistic Model

6. Discussion of the Data Set

Overall Conclusion

Acknowledgments

References

Chapter 13: STATISTICAL INFERENCE ON THE GENERALIZED GAMMA DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS

Abstract

1. Introduction

2. Main Results

3. Simulation Study and Comparisons

4. An Illustrative Example

5. Conclusion

References

Chapter 14: ON STATISTICAL CHARACTERISTICS OF THE PRODUCT OF TWO CORRELATED CHI-SQUARE VARIABLES

Abstract

1. Introduction

2. Mathematical Preliminaries

3. The Bivariate Chi-Square Distribution

4. Main Results

5. Higher Order Moments

Appendix 1

Acknowledgments

References

Chapter 15: SEQUENTIAL ESTIMATION OF THE MEAN SURVIVAL TIME OF THE TWO-PARAMETER EXPONENTIAL DISTRIBUTION

Abstract

1. Introduction

2. The Set-up of the Estimation Problems

3. Sequential Procedures for Fixed-Width Confidence Interval Estimation of the Mean Survival Time

4. Sequential Procedures for the Point Estimation of the Mean Survival Time

References

Chapter 16: CHARACTERIZATIONS OF MIXTURES OF EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS BASED ON THE DOUBLY TRUNCATED MEAN FUNCTION

Abstract

1. Introduction

2. Main Results

References

Chapter 17: ON GENERALIZED INTERVENED POISSON DISTRIBUTION

Abstract

1. Introduction

2. The IPD and the IGPD

3. The GIPD and Its Properties

4. Estimation

References

Chapter 18: CHARACTERIZATION BY TRANSLATION, CONTRACTION AND DILATION OF DUAL GENERALIZED ORDER STATISTICS

Abstract

1. Introduction

2. Characterizing Results

References

Chapter 19: ESTIMATION OF THE PARAMETER OF BINOMIAL DISTRIBUTION IN THE PRESENCE OF OUTLIERS

Abstract

1. Introduction

2. Estimation of p and a

3. Numerical Study and Example

Acknowledgment

References

INDEX