Contents
xxi
Kaufman’s Anchored Method
164
Chen and Sinding–Larsen’s Geo-Anchored Method
166
Superpopulation Methods
166
USGS Log-Geometric Method
166
The Creaming Method
169
The Long Method
170
The Regression Method
170
The Fractal Method
171
8 Concluding Remarks
174
Appendix A: Estimation of Superpopulation Parameters
from a Successively Sampled Finite Population
176
The Likelihood Function
178
Maximum-Likelihood Estimation
183
Inference for and N
192
Inference for the Weight Function
197
Appendix B: Nonparametric Procedure for Estimating
Distributions
200
Appendix C: The Largest Pool Size and Its Distribution
203
The rth Largest Pool-Size Distribution
203
Generation of Reservoir Parameters for a Given
Pool Size
205
Appendix D: Pool Size Conditional on Pool Ranks
208
Theorem 1
208
Corollary
209
Theorem 2
210
References
213
Index
221
xxi
Kaufman’s Anchored Method
164
Chen and Sinding–Larsen’s Geo-Anchored Method
166
Superpopulation Methods
166
USGS Log-Geometric Method
166
The Creaming Method
169
The Long Method
170
The Regression Method
170
The Fractal Method
171
8 Concluding Remarks
174
Appendix A: Estimation of Superpopulation Parameters
from a Successively Sampled Finite Population
176
The Likelihood Function
178
Maximum-Likelihood Estimation
183
Inference for and N
192
Inference for the Weight Function
197
Appendix B: Nonparametric Procedure for Estimating
Distributions
200
Appendix C: The Largest Pool Size and Its Distribution
203
The rth Largest Pool-Size Distribution
203
Generation of Reservoir Parameters for a Given
Pool Size
205
Appendix D: Pool Size Conditional on Pool Ranks
208
Theorem 1
208
Corollary
209
Theorem 2
210
References
213
Index
221
