Title of Thesis

A Family of Estimators for Two Phase Sampling using Multi-Auxiliary Attributes

Author(s)

Inam ul Haq

Abstract
No Abstract

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1.1 Role of Sampling

1.2 Use of Auxiliary Variable and Attribute
1.3 Application of Study in Real Life
1.4 Objectives of Study
1.5 Notations and Assumptions

2.1 Introduction to Two-Phase Sampling

2.2 Shrinkage Estimator

3.1 Introduction

3.2 Estimators by Naik And Gupta (1996)
3.3 Family of Estimators by Jhajj et al. (2006)
3.4 Estimators by Shabbir and Gupta (2007)
3.5 General Shrinkage Estimator by Shahbaz and Hanif (2009)

4.1 Introduction

4.2 A Generalized Family of Estimators for Single-Phase Sampling

4.3 A Generalized Family of Estimators for Two-Phase Sampling

4.4 A Generalized Shrinkage Family of Estimators for Full Partial and No Information Cases

5.1 Introduction

5.2 Generalized Ratio Estimator for Full Partial and No Information Cases

5.3 Generalized Shrinkage Ratio Estimator for Full Partial and No Information Cases

5.4 Generalized Product Estimator For Full Partial and No Information Cases

5.5 Generalized Shrinkage Product Estimator for Full Partial and No Information Cases

6.1 Introduction

6.2 A Family of Estimators for Full Partial and No Information Cases using Two Auxiliary Attributes
6.3 Theorem on Generalized Bias of Shrinkage Estimators

6.4 A Shrinkage Family of Estimators for Full Partial and No Information Cases using Two Auxiliary Attributes

7.1 Introduction

7.2 A Shrinkage Regression Type Estimator using Single Auxiliary Attribute

7.3 A Shrinkage Regression Type Estimator using Two Auxiliary Attributes

8.1 Introduction

8.2 Conclusion

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