




S. No. 
Chapter 
Title of the Chapters 
Page 
Size (KB) 





1 
0 
Contents 

82.52 KB 





2 
1 
Introduction And Literature Survey 
1 
251.99 KB 

1.1 
Introduction 
1 

1.2 
Unequal Probability Sampling With Replacement 
1 

1.3 
Unequal Probability Without Replacement Using HorvitzThompson Estimator 
5 

1.4 
Description Of Selected Selection Procedures 
15 

1.5 
Unequall Probability Sampling Without Replacement( Л pswor ) 
22 

1.6 
The Model Based Inference In Sampling 
28 





3 
2 
First Order Inclusion Probabilities 
31 
106.66 KB 

2.1 
Introduction 
31 

2.2 
New Approximations For Л ij 
31 

2.3 
Empirical Study 
33 

2.4 
Comments 
36 

2.5 
Model Based Study Of Approximate Formulae 
37 





4 
3 
Sampling With Arbitrary Probabilities Of Selection Using The Generalized Horvitz Thompson Estimator 
43 
159.09 KB 

3.1 
Introduction 
43 

3.2 
The Generalized Horvitz And Thompson (G.H.T) Estimator 
48 

3.3 
Variance Of Generalized Horvitz And Thompson (G.H.T) Estimator 
49 

3.4 
Biased Estimator Of Variance 
51 

3.5 
Unbiased Estimator 
54 

3.6 
Covariance And Estimation Of Covariance 
55 

3.7 
Ratio Estimators Based On Arbitrary ( Unequal ) Probabilities Of Selection 
56 

3.8 
Stratification 
59 

3.9 
Multinomial Sampling 
61 





5 
4 
The General Selection Procedure 
64 
72.91 KB 

4.1 
Introduction 
64 

4.2 
The General Selection Procedure I 
64 

4.3 
Some Useful Results For General Selection Procedure 
65 

4.4 
The New Class Of Selection Procedure For N=2 
69 

4.5 
Some Results Regarding The New Selection Procedure 
70 

4.6 
Empirical Study 
72 





6 
5 
Generalization Of Murthy’s Scheme And Estimator 
74 
65.91 KB 

5.1 
Introduction 
74 

5.2 
Generalization 
75 

5.3 
Empirical Study 
78 





7 
6 
Comparison Of The Performance Of Some Well Known Sampling Schemes And Estimators Of Population Total 
81 
80.61 KB 

6.1 
Introduction 
81 

6.2 
Some Sampling Schemes 
83 

6.3 
Empirical Comparisons 
85 

6.4 
Conclusions 
89 





8 
7 
References 
90 
227.66 KB 

7.1 
Appendix 
97122 




