On the strong law of large numbers for nonnegative random variables. With an application in survey sampling
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Publication date
2021
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01A - Journal article
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Austrian Journal of Statistics
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DOI of the original publication
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Volume
50
Issue / Number
3
Pages / Duration
1-12
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Austrian Statistical Society
Place of publication / Event location
Wien
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Abstract
Strong laws of large numbers with arbitrary norming sequences for nonnegative not necessarily independent random variables are obtained. From these results we establish, among other things, stability results for weighted sums of nonnegative random variables. A survey sampling application is provided on strong consistency of the Horvitz-Thompson estimator and the ratio estimator.
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330 - Wirtschaft
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ISSN
1026-597X
Language
English
Created during FHNW affiliation
Yes
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Published
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Peer review of the complete publication
Open access category
Diamond
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Citation
SCHOCH, Tobias, 2021. On the strong law of large numbers for nonnegative random variables. With an application in survey sampling. Austrian Journal of Statistics. 2021. Bd. 50, Nr. 3, S. 1–12. DOI 10.17713/AJS.V50I3.631. Verfügbar unter: https://doi.org/10.26041/fhnw-7027