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VOL. 54 | 2007 A representative sampling plan for auditing health insurance claims

## Abstract

A stratified sampling plan to audit health insurance claims is offered. The stratification is by dollar amount of the claim. The plan is representative in the sense that with high probability for each stratum, the difference in the average dollar amount of the claim in the sample and the average dollar amount in the population, is small.'' Several notions of small'' are presented. The plan then yields a relatively small total sample size with the property that the overall average dollar amount in the sample is close to the average dollar amount in the population. Three different estimators and corresponding lower confidence bounds for over (under) payments are studied.

## Information

Published: 1 January 2007
First available in Project Euclid: 4 December 2007

MathSciNet: MR2459183

Digital Object Identifier: 10.1214/074921707000000094

Subjects:
Primary: 60K35
Secondary: 60K35

Keywords: combined ratio estimator , dollar amount of claim , lower confidence bound , over (under) payments , separate ratio estimator , stratified sampling plan , unbiased estimator