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Risk-limiting audits (RLAs) can use information about which ballot cards contain which contests (card-style data, CSD) to ensure that each contest receives adequate scrutiny, without examining more cards than necessary. RLAs using CSD in…

Applications · Statistics 2023-09-19 Amanda K. Glazer , Jacob V. Spertus , Philip B. Stark

Risk-limiting audits (RLAs) are expected to strengthen the public confidence in the correctness of an election outcome. We hypothesize that this is not always the case, in part because for large margins between the winner and the runner-up,…

Computers and Society · Computer Science 2021-09-17 Asmita Dalela , Oksana Kulyk , Carsten Schürmann

Accurately determining the outcome of an election is a complex task with many potential sources of error, ranging from software glitches in voting machines to procedural lapses to outright fraud. Risk-limiting audits (RLA) are statistically…

Applications · Statistics 2021-11-16 Ian Waudby-Smith , Philip B. Stark , Aaditya Ramdas

Risk-limiting audits (RLAs) are rigorous statistical procedures meant to detect invalid election results. RLAs examine paper ballots cast during the election to statistically assess the possibility of a disagreement between the winner…

Cryptography and Security · Computer Science 2022-12-23 Benjamin Fuller , Abigail Harrison , Alexander Russell

Risk-limiting audits (RLAs) are post-election auditing procedures that rigorously guarantee a specified maximum probability that an incorrect electoral outcome will not be detected. Aside from ready access to physical ballots, known RLAs…

Cryptography and Security · Computer Science 2026-05-19 Benjamin Fuller , Abigail Harrison , Alexander Russell

Risk-limiting audits (RLAs) are a significant tool in increasing confidence in the accuracy of elections. They consist of randomized algorithms which check that an election's vote tally, as reported by a vote tabulation system, corresponds…

Computers and Society · Computer Science 2023-05-09 Bar Karov , Moni Naor

Risk-limiting audits (RLAs) can provide routine, affirmative evidence that reported election outcomes are correct by checking a random sample of cast ballots. An efficient RLA requires checking relatively few ballots. Here we construct…

Applications · Statistics 2024-10-16 Jacob Spertus

Risk-limiting audits (RLAs) are techniques for verifying the outcomes of large elections. While they provide rigorous guarantees of correctness, widespread adoption has been impeded by both efficiency concerns and the fact they offer…

Cryptography and Security · Computer Science 2024-06-19 Benjamin Fuller , Rashmi Pai , Alexander Russell

One approach to risk-limiting audits (RLAs) compares randomly selected cast vote records (CVRs) to votes read by human auditors from the corresponding ballot cards. Historically, such methods reduce audit sample sizes by considering how…

Computers and Society · Computer Science 2026-03-27 Alexander Ek , Michelle Blom , Philip B. Stark , Peter J. Stuckey , Vanessa J. Teague , Damjan Vukcevic

Risk-limiting audits (RLAs) offer a statistical guarantee: if a full manual tally of the paper ballots would show that the reported election outcome is wrong, an RLA has a known minimum chance of leading to a full manual tally. RLAs…

Applications · Statistics 2018-09-13 Kellie Ottoboni , Philip B. Stark , Mark Lindeman , Neal McBurnett

Risk-limiting audits (RLAs) guarantee a high probability of correcting incorrect reported outcomes before the outcomes are certified. The most efficient use ballot-level comparison, comparing the voting system's interpretation of individual…

Cryptography and Security · Computer Science 2023-09-01 Philip B. Stark

Risk-limiting audits (RLAs) for many social choice functions can be reduced to testing sets of null hypotheses of the form "the average of this list is not greater than 1/2" for a collection of finite lists of nonnegative numbers. Such…

Applications · Statistics 2020-03-26 Philip B. Stark

We present a method and software for ballot-polling risk-limiting audits (RLAs) based on Bernoulli sampling: ballots are included in the sample with probability $p$, independently. Bernoulli sampling has several advantages: (1) it does not…

In the context of election security, a Risk-Limiting Audit (RLA) is a statistical framework that uses a minimal partial recount of the ballots to guarantee that the results of the election were correctly reported. A generalized RLA…

Computer Science and Game Theory · Computer Science 2026-02-05 Edouard Heitzmann

Colorado conducted risk-limiting tabulation audits (RLAs) across the state in 2017, including both ballot-level comparison audits and ballot-polling audits. Those audits only covered contests restricted to a single county; methods to…

Applications · Statistics 2018-03-05 Mark Lindeman , Neal McBurnett , Kellie Ottoboni , Philip B. Stark

Counting votes is complex and error-prone. Several statistical methods have been developed to assess election accuracy by manually inspecting randomly selected physical ballots. Two 'principled' methods are risk-limiting audits (RLAs) and…

Applications · Statistics 2021-05-13 Zhuoqun Huang , Ronald L. Rivest , Philip B. Stark , Vanessa Teague , Damjan Vukcevic

Risk-limiting audits (RLAs) are an increasingly important method for checking that the reported outcome of an election is, in fact, correct. Indeed, their use is increasingly being legislated. While effective methods for RLAs have been…

Computers and Society · Computer Science 2023-08-10 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

Risk-limiting post election audits guarantee a high probability of correcting incorrect election results, independent of why the result was incorrect. Ballot-polling audits select ballots at random and interpret those ballots as evidence…

Data Structures and Algorithms · Computer Science 2019-10-30 Michelle Blom , Peter J. Stuckey , Vanessa Teague

A Risk-Limiting Audit (RLA) is a statistical election tabulation audit with a rigorous error guarantee. We present ballot polling RLA PROVIDENCE, an audit with the efficiency of MINERVA and flexibility of BRAVO. We prove that PROVIDENCE is…

Cryptography and Security · Computer Science 2022-10-18 Oliver Broadrick , Poorvi L. Vora , Filip Zagórski

ONEAudit provides more efficient risk-limiting audits than other extant methods when the voting system cannot report a cast-vote record linked to each cast card. It obviates the need for re-scanning; it is simpler and more efficient than…

Methodology · Statistics 2025-08-20 Jacob V Spertus , Amanda K Glazer , Philip B Stark
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