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Journal of Statistics and Management Systems

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510

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Monthly Journal: Publishes peer-reviewed aticles on theoretical and applied statistics and management systems, expoloring industrial statistics, actuarial and decision sciences.

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Journal of Statistics and Management Systems
Open Access Research Article

Large deviations : Estimating the number of positive individuals in a Bernoulli sample through sample pooling

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pp. 959–969Vol. 27Issue 5July 2024DOI: 10.47974/JSMS-1220XML
Received:
10 Aug 2020
Published Online:
05 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1220
Pages:
959–969

Abstract

We define the empirical positives measure as a stochastic measure that quantifies the number of infections in a Bernoulli sample. Similarly, we define the empirical pool measure as a stochastic measure that enumerates the number of infected pool samples. A joint large deviation principle (LDP) is established for both empirical measures derived from the Bernoulli samples. Using this joint LDP, we establish a correlation between the asymptotic ratio of infected individuals to the sample size and the asymptotic ratio of infected pool samples to the total number of pool samples.

Keywords

Large deviationsInfected pool sampleEmpirical pool measureEmpirical positives measureInteger partitionEntropyRelative entropy

Subject Classifications

60F1011B6811P8468Q25

References

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