Sampling Theory and Methods Book

Chapter 1	Preliminaries
1.1	Basic Definitions	1
1.2	Estimation of Population Total	3
1.3	Problems and Solutions	8
Chapter 2	Equal Probability Sampling
2.1	Simple Random Sampling	10
2.2	Estimation of Total	11
2.3	Problems and Solutions	16
Chapter 3	Systematic Sampling Schemes
3.1	Introduction	29
3.2	Linear Systematic Sampling	29
3.3	Schemes for Populations with Linear Trend	34
3.4	Autocorrelated Populations	39
3.5	Estimation of Variance	42
3.6	Circular Systematic Sampling	43
3.7	Systematic Sampling in Two Dimensions	44
3.8	Problems and Solutions	47
Chapter 4	Unequal Probability Sampling
4.1	PPSWR Sampling Method	55
4.2	PPSWOR Sampling Method	60
4.3	Random Group Method	63
4.4	Midzuno scheme	67
4.5	PPS Systematic Scheme	70
4.6	Problems and Solutions	71
Chapter 5	Stratified Sampling
5.1	Introduction	76
5.2	Sample Size Allocation	79
5.3	Comparision with Other Schemes	86
5.4	Problems and Solutions	89
Chapter 6	Use of Auxiliary Information
6.1	Introduction	97
6.2	Ratio Estimation	97
6.3	Unbiased Ratio Type Estimators	100
6.4	Almost Unbiased Ratio Estimators	102
6.5	Jackknife Ratio Estimator	104
6.6	Bound for Bias	105
6.7	Product Estimation	106
6.8	Two Phase Sampling	108
6.9	Use of Multi-auxiliary Information	113
6.10	Ratio Estimation in Stratified Sampling	115
6.11	Problems and Solutions	117
Chapter 7	Regression Estimation
7.1	Introduction	122
7.2	Difference Estimation	124
7.3	Double Sampling in Difference Estimation	125
7.4	Multivariate Difference Estimator	126
7.5	Inference under Super Population Models	129
7.6	Problems and Solutions	137
Chapter 8	Multistage Sampling
8.1	Introduction	140
8.2	Estimation under Cluster Sampling	140
8.3	Multistage Sampling	143
Chapter 9	Non-sampling Errors
9.1	Incomplete Surveys	152
9.2	Randomised Response Methods	158
9.3	Observational Errors	161
Chapter 10	Recent Developments
10.1	Adaptive Sampling	165
10.2	Estimation of Distribution Functions	171
10.3	Randomised Response Methods for Quantitative Data	174
	References	179
	Index	183