caa a22 4500 38630713X CHVBK 20180307111533.0 cr unu---uuuuu 161130e198804 xx s 000 0 eng 10.1017/S1446788700029785 doi S1446788700029785 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700029785 Sampling Without Replacement: Approximation to the Probability Distribution [Elektronische Daten] Let P be the probability distribution of a sample without replacement of size n from a finite population represented by the set N={1,2, N}. For each r=0, 1, ..., an approximation Pr is described such that the uniform norm P − Pr is of order (n2/N)r+1 if n2/N→0. The approximation Pr is a linear combination of uniform probability product-measures concentrated on certain subspaces of the sample space Nn. Copyright © Australian Mathematical Society 1988 60 F 05 nationallicence 62 E 20 nationallicence Darroch J. N. Department of Mathematics The Flinders University of South Australia Bedford Park, S. A. 5042, Australia Jirina M. Division of Mathematics and Statistics C.S.I.R.O. Yarralumla Canberra, A.C.T. 2600, Australia Speed T. P. Department of Mathematics The Flinders University of South Australia Bedford Park, S. A. 5042, Australia Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 197-213 1446-7887 44:2<197 1988 44 JAZ https://doi.org/10.1017/S1446788700029785 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700029785 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Darroch J. N. Department of Mathematics The Flinders University of South Australia Bedford Park, S. A. 5042, Australia NATIONALLICENCE 700 1- Jirina M. Division of Mathematics and Statistics C.S.I.R.O. Yarralumla Canberra, A.C.T. 2600, Australia NATIONALLICENCE 700 1- Speed T. P. Department of Mathematics The Flinders University of South Australia Bedford Park, S. A. 5042, Australia NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 197-213 1446-7887 44:2<197 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge