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231226s2020 xx |||||o 00| ||eng c |
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|a 10.1080/02664763.2019.1711031
|2 doi
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|a eng
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|a Economou, P
|e verfasserin
|4 aut
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|a Robust inference under r-size-biased sampling without replacement from finite population
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|c 2020
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|a Text
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|a ƒaComputermedien
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|a ƒa Online-Ressource
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|a Date Revised 16.07.2022
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|a published: Electronic-eCollection
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|a Citation Status PubMed-not-MEDLINE
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|a © 2020 Informa UK Limited, trading as Taylor & Francis Group.
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|a The case of size-biased sampling of known order from a finite population without replacement is considered. The behavior of such a sampling scheme is studied with respect to the sampling fraction. Based on a simulation study, it is concluded that such a sample cannot be treated either as a random sample from the parent distribution or as a random sample from the corresponding r-size weighted distribution and as the sampling fraction increases, the biasness in the sample decreases resulting in a transition from an r-size-biased sample to a random sample. A modified version of a likelihood-free method is adopted for making statistical inference for the unknown population parameters, as well as for the size of the population when it is unknown. A simulation study, which takes under consideration the sampling fraction, demonstrates that the proposed method presents better and more robust behavior compared to the approaches, which treat the r-size-biased sample either as a random sample from the parent distribution or as a random sample from the corresponding r-size weighted distribution. Finally, a numerical example which motivates this study illustrates our results
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|a Journal Article
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|a ABC algorithm
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|a Finite population
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|a biased data
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|a petroleum basin
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|a weighted distributions
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|a Tzavelas, G
|e verfasserin
|4 aut
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|a Batsidis, A
|e verfasserin
|4 aut
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|i Enthalten in
|t Journal of applied statistics
|d 1991
|g 47(2020), 13-15 vom: 09., Seite 2808-2824
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|x 0266-4763
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|g volume:47
|g year:2020
|g number:13-15
|g day:09
|g pages:2808-2824
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|u http://dx.doi.org/10.1080/02664763.2019.1711031
|3 Volltext
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