Sampling theory and methods

✍ Scribed by S. Sampath

• Publisher: CRC Press / Narosa
• Year: 2001
• Tongue: English
• Leaves: 188
• Edition: 1
• Category: Library

✦ Synopsis

Sampling Theory and Methods presents the theoretical aspects of "Sample Surveys" in a lucid form for the benefit of both undergraduate and post graduate students of Statistics. It assumes very little background in probability theory.The author presents in detail several sampling schemes, including simple random sampling, unequal probability sampling, and systematic, stratified, cluster, and multistage sampling. In addition to sampling schemes, he also discusses several estimating methods, such as ratio and regression estimators, and covers in detail the use of superpopulation models.Many solved theoretical problems are incorporated into almost all the chapters. This feature helps readers acquire necessary skills to solve theoretical problems on their own.

✦ Table of Contents

Titlepage......Page 1
Preface......Page 4
Contents......Page 5
1.1 Basic Definitions ......Page 7
1.2 Estimation of Population Total ......Page 9
1.3 Problems and Solutions ......Page 14
2.1 Simple Random Sampling ......Page 16
2.2 Estimation of Total ......Page 17
2.3 Problems and Solutions ......Page 22
3.2 Linear Systematic Sampling ......Page 35
3.3 Schemes for Populations with Linear Trend ......Page 40
3.4 Autocorrelated Populations ......Page 45
3.5 Estimation of Variance ......Page 48
3.6 Circular Systematic Sampling ......Page 49
3.7 Systematic Sampling in Two Dimensions ......Page 50
3.8 Problems and Solutions ......Page 53
4.1 PPSWR Sampling Method ......Page 61
4.2 PPSWOR Sampling Method ......Page 66
4.3 Random Group Method ......Page 69
4.4 Midzuno scheme ......Page 73
4.5 PPS Systematic Scheme ......Page 76
4.6 Problems and Solutions ......Page 77
5.1 Introduction ......Page 82
5.2 Sample Size Allocation ......Page 85
5.3 Comparision with Other Schemes ......Page 92
5.4 Problems and Solutions ......Page 95
6.2 Ratio Estimation ......Page 103
6.3 Unbiased Ratio Type Estimators ......Page 106
6.4 Almost Unbiased Ratio Estimators ......Page 108
6.5 Jackknife Ratio Estimator ......Page 110
6.6 Bound for Bias ......Page 111
6.7 Product Estimation ......Page 112
6.8 Two Phase Sampling ......Page 114
6.9 Use of Multi-auxiliary Information ......Page 119
6.10 Ratio Estimation in Stratified Sampling ......Page 121
6.11 Problems and Solutions ......Page 123
7.1 Introduction ......Page 128
7.2 Difference Estimation ......Page 130
7.3 Double Sampling in Difference Estimation ......Page 131
7.4 Multivariate Difference Estimator ......Page 132
7.5 Inference under Super Population Models ......Page 135
7.6 Problems and Solutions ......Page 143
8.2 Estimation under Cluster Sampling ......Page 146
8.3 Multistage Sampling ......Page 149
9.1 Incomplee Surveys ......Page 158
9.2 Randomised Response Methods ......Page 164
9.3 Observational Errors ......Page 167
10.1 Adaptive Sampling ......Page 171
10.2 Estimation of Distribution Functi'ons ......Page 177
10.3 Randomsed Response Methods for Quantitative Data ......Page 180
References ......Page 184
Index ......Page 187