Discovery Sampling and Selection Models [chapter]

Mike West
1994 Statistical Decision Theory and Related Topics V  
Various aspects of Bayesian inference in selection and size biased sampling problems are presented, beginning with discussion of general problems of inference in in nite and nite populations subject to selection sampling. Estimation of the size of nite populations and inference about superpopulation distributions when sampling is apparently informative is then developed in two speci c problems. The rst is a simple example of truncated data analysis, and some details of simulation based Bayesian
more » ... tion based Bayesian analysis are presented. The second concerns discovery sampling in which units of a nite population are selected with probabilities proportional to some measure of size. A well-known area of application is in the discovery of oil reserves, and some recently published data from this area is analysed here. Solutions to the computational problems arising are developed using iterative simulation methods. Finally, some comments are made on extensions, including multiparameter superpopulations, semi-parametric models and problems of dealing with missing data in discovery sampling. Figure 4. Oil reserve data analysis with = 2 0 :
doi:10.1007/978-1-4612-2618-5_17 fatcat:4fy4vnmmifgq5krsrjeyf6hjqa