Proportional Closeness Estimation of Probability of Contamination Under Group Testing

TL;DR

This paper introduces a new method for estimating the probability of contamination in individual samples using group testing, emphasizing proportional closeness and adaptive procedures for improved accuracy.

Contribution

It develops a novel estimator based on proportional closeness and analyzes two-stage, sequential, and adaptive sampling procedures for contamination probability estimation.

Findings

Proposed an estimator with high precision under group testing.

Characterized two-stage and sequential sampling procedures.

Evaluated adaptive procedures for improved estimation accuracy.

Abstract

The paper is focused on the problem of estimating the probability $p$ of individual contaminated sample, under group testing. The precision of the estimator is given by the probability of proportional closeness, a concept defined in the Introduction. Two-stage and sequential sampling procedures are characterized. An adaptive procedure is examined.