Grafström, Anton and Qualité, Lionel and Tillé, Yves and Matei, Alina
(2012).
*Size constrained unequal probability sampling with a non-integer sum of inclusion probabilities.*
Electronic journal of statistics. 6
, 1477-1489

[Research article]

PDF
192kB |

Official URL: http://dx.doi.org/10.1214/12-EJS719

## Abstract

More than 50 methods have been developed to draw unequal probability samples with fixed sample size. All these methods require the sum of the inclusion probabilities to be an integer number. There are cases, however, where the sum of desired inclusion probabilities is not an integer. Then, classical algorithms for drawing samples cannot be directly applied. We present two methods to overcome the problem of sample selection with unequal inclusion probabilities when their sum is not an integer and the sample size cannot be fixed. The first one consists in splitting the inclusion probability vector. The second method is based on extending the population with a phantom unit. For both methods the sample size is almost fixed, and equal to the integer part of the sum of the inclusion probabilities or this integer plus one.

Authors/Creators: | Grafström, Anton and Qualité, Lionel and Tillé, Yves and Matei, Alina | ||||
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Title: | Size constrained unequal probability sampling with a non-integer sum of inclusion probabilities | ||||

Series Name/Journal: | Electronic journal of statistics | ||||

Year of publishing : | 2012 | ||||

Volume: | 6 | ||||

Page range: | 1477-1489 | ||||

Publisher: | Institute of Mathematical Statistics, Bernoulli Society for Mathematical Statistics and Probability | ||||

ISSN: | 1935-7524 | ||||

Language: | English | ||||

Publication Type: | Research article | ||||

Refereed: | Yes | ||||

Article category: | Scientific peer reviewed | ||||

Version: | Published version | ||||

Full Text Status: | Public | ||||

Agris subject categories.: | U Auxiliary disciplines > U10 Mathematical and statistical methods X Agricola extesions > X10 Mathematics and statistics | ||||

Subjects: | (A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics | ||||

Keywords: | survey sampling, maximum entropy, splitting method | ||||

URN:NBN: | urn:nbn:se:slu:epsilon-e-776 | ||||

Permanent URL: | http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-776 | ||||

Additional ID: |
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ID Code: | 9317 | ||||

Department: | (S) > Dept. of Forest Resource Management (NL, NJ) > Dept. of Forest Resource Management | ||||

Deposited By: | Skogsbiblioteket Umeå | ||||

Deposited On: | 13 Dec 2012 11:28 | ||||

Metadata Last Modified: | 02 Dec 2014 10:53 |

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