On the Distance Between Some πps Sampling Designs |
| |
Authors: | Anders Lundqvist |
| |
Institution: | 1. Institutionen f?r Matematik och Matematisk Statistik, Ume? University, 901?87, Umea, Sweden
|
| |
Abstract: | Asymptotic distances between probability distributions appearing in πps sampling theory are studied. The distributions are Poisson, Conditional Poisson (CP), Sampford, Pareto, Adjusted CP and
Adjusted Pareto sampling. We start with the Kullback-Leibler divergence and the Hellinger distance and derive a simpler distance
measure using a Taylor expansion of order two. This measure is evaluated first theoretically and then numerically, using small
populations. The numerical examples are also illustrated using a multidimensional scaling technique called principal coordinate
analysis (PCO). It turns out that Adjusted CP, Sampford, and adjusted Pareto are quite close to each other. Pareto is a bit
further away from these, then comes CP and finally Poisson which is rather far from all the others.
|
| |
Keywords: | Asymptotic distance Conditional Poisson sampling Hellinger distance Inclusion probabilities Kullback-Leibler divergence Pareto sampling Principal coordinate analysis Sampford sampling Target probabilities |
本文献已被 SpringerLink 等数据库收录! |
|