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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

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 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

U.S. elections rely heavily on computers such as voter registration databases, electronic pollbooks, voting machines, scanners, tabulators, and results reporting websites. These introduce digital threats to election outcomes. Risk-limiting…

Cryptography and Security · Computer Science 2020-12-08 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) 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

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

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

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

The main risk-limiting ballot polling audit in use today, BRAVO, is designed for use when single ballots are drawn at random and a decision regarding whether to stop the audit or draw another ballot is taken after each ballot draw…

Cryptography and Security · Computer Science 2021-02-23 Filip Zagórski , Grant McClearn , Sarah Morin , Neal McBurnett , Poorvi L. Vora

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

BRAVO, the most widely tried method for risk-limiting election audits, cannot accommodate sampling without replacement or stratified sampling, which can improve efficiency and may be required by law. It applies only to ballot-polling…

Methodology · Statistics 2022-08-15 Philip B. Stark

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) 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

A collection of races in a single election can be audited as a group by auditing a random sample of batches of ballots and combining observed discrepancies in the races represented in those batches in a particular way: the maximum…

Applications · Statistics 2009-05-12 Philip B. Stark

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) 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

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) 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
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