%0 Journal Article %1 Rosen:1997-08-15T00:00:00:0378-3758:135 %A Rosen, B. %D 1997-08-15T00:00:00 %J Journal of Statistical Planning and Inference %K statistics %N 2 %P 135-158 %R 10.1016/S0378-3758(96)00185-1 %T Asymptotic theory for order sampling %U http://www.ingentaconnect.com/content/els/03783758/1997/00000062/00000002/art00185 %V 62 %X Sampling with varying probabilities, notably ps (= probability proportional to size) sampling, is one of many vehicles for utilization of auxiliary information. We introduce and study a novel general class of varying probabilities sampling schemes, called order sampling schemes. The main results concern asymptotic distributions of linear statistics. Even if the results lie on the theoretical side, they lay ground for applications of practical sampling interest. Rosen (1997), which is a follow-up to the present paper, shows that order sampling yields interesting contributions to the problem of finding simple and good ps schemes.

@article{Rosen:1997-08-15T00:00:00:0378-3758:135, abstract = {Sampling with varying probabilities, notably ps (= probability proportional to size) sampling, is one of many vehicles for utilization of auxiliary information. We introduce and study a novel general class of varying probabilities sampling schemes, called order sampling schemes. The main results concern asymptotic distributions of linear statistics. Even if the results lie on the theoretical side, they lay ground for applications of practical sampling interest. Rosen (1997), which is a follow-up to the present paper, shows that order sampling yields interesting contributions to the problem of finding simple and good ps schemes.}, added-at = {2015-05-04T09:57:26.000+0200}, author = {Rosen, B.}, biburl = {https://www.bibsonomy.org/bibtex/27720ced09292e312cc992fcfb83f8393/seb.przd}, description = {Asymptotic theory for order sampling: ingentaconnect}, doi = {10.1016/S0378-3758(96)00185-1}, interhash = {1e682828c0f6f251ffb1e0b54a313f34}, intrahash = {7720ced09292e312cc992fcfb83f8393}, journal = {Journal of Statistical Planning and Inference}, keyword = {Asymptotic results, Linear statistics, Order sampling, Sequential Poisson sampling, Successive sampling, [AMS classification codes] 60F05, [AMS classification codes] Primary 62D05}, keywords = {statistics}, number = 2, pages = {135-158}, timestamp = {2015-05-04T09:57:26.000+0200}, title = {Asymptotic theory for order sampling}, url = {http://www.ingentaconnect.com/content/els/03783758/1997/00000062/00000002/art00185}, volume = 62, year = {1997-08-15T00:00:00} }