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In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, root square mean, etc. Considering the difference of these means, we can establish. some inequalities among them. Interestingly, the difference of…

信息论 · 计算机科学 2011-03-29 Inder Jeet Taneja

In text summarization, evaluating the efficacy of automatic metrics without human judgments has become recently popular. One exemplar work concludes that automatic metrics strongly disagree when ranking high-scoring summaries. In this…

计算与语言 · 计算机科学 2020-11-10 Manik Bhandari , Pranav Gour , Atabak Ashfaq , Pengfei Liu

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data from which it was created. There are many indices used for…

离散数学 · 计算机科学 2020-01-28 Konrad Kułakowski , Dawid Talaga

Statistical tests that compare classification algorithms are univariate and use a single performance measure, e.g., misclassification error, $F$ measure, AUC, and so on. In multivariate tests, comparison is done using multiple measures…

机器学习 · 统计学 2014-09-17 Olcay Taner Yildiz , Ethem Alpaydin

Benchmarks underpin how progress in large language models (LLMs) is measured and trusted. Yet our analyses reveal that apparent convergence in benchmark accuracy can conceal deep epistemic divergence. Using two major reasoning benchmarks -…

计算与语言 · 计算机科学 2026-02-13 Eddie Yang , Dashun Wang

Despite of the great efforts during the censuses, occurrence of some nonsampling errors such as coverage error is inevitable. Coverage error which can be classified into two types of under-count and overcount occurs when there is no unique…

应用统计 · 统计学 2019-10-15 Sepideh Mosaferi

Measuring public opinion at subnational geographies is critical to many theories in political science. Multilevel regression and post-stratification (MRP) is a popular tool for doing so, although existing work is limited to measuring…

统计方法学 · 统计学 2025-07-08 Max Goplerud , Michael Auslen

Multilevel regression and poststratification (MRP) is a popular method for addressing selection bias in subgroup estimation, with broad applications across fields from social sciences to public health. In this paper, we examine the…

统计方法学 · 统计学 2023-03-06 Yajuan Si

In this article, we study the effect of vector-valued interventions in votes under a binary voter model, where each voter expresses their vote as a $0-1$ valued random variable to choose between two candidates. We assume that the outcome is…

应用统计 · 统计学 2022-10-17 Manit Paul , Rishideep Roy , Soudeep Deb

We study how electoral rules shape polarization dynamics when voters and candidates both adapt to repeated election outcomes. We introduce two geometric primitives for comparing rules under this feedback: the \emph{winner radius} $R_t =…

计算机科学与博弈论 · 计算机科学 2026-04-23 Sumit Mukherjee

We revisit the recent breakthrough result of Gkatzelis et al. on (single-winner) metric voting, which showed that the optimal distortion of 3 can be achieved by a mechanism called Plurality Matching. The rule picks an arbitrary candidate…

计算机科学与博弈论 · 计算机科学 2025-02-05 Fatih Erdem Kizilkaya , David Kempe

While most of the existing literature focused on human-machine interactions with algorithmic systems in advisory roles, research on human behavior in monitoring or verification processes that are conducted by automated systems remains…

综合经济学 · 经济学 2025-07-22 Marius Protte , Behnud Mir Djawadi

Testing whether a variable of interest affects the outcome is one of the most fundamental problem in statistics and is often the main scientific question of interest. To tackle this problem, the conditional randomization test (CRT) is…

统计方法学 · 统计学 2023-05-26 Dae Woong Ham , Jiaze Qiu

This paper presents a new estimator of the intercept of a linear regression model in cases where the outcome varaible is observed subject to a selection rule. The intercept is often in this context of inherent interest; for example, in a…

计量经济学 · 经济学 2018-09-26 Chuan Goh

State-of-the-art static analysis tools for verifying finite-precision code compute worst-case absolute error bounds on numerical errors. These are, however, often not a good estimate of accuracy as they do not take into account the…

编程语言 · 计算机科学 2017-08-07 Anastasiia Izycheva , Eva Darulova

Sharpe ratio (sometimes also referred to as information ratio) is widely used in asset management to compare and benchmark funds and asset managers. It computes the ratio of the (excess) net return over the strategy standard deviation.…

风险管理 · 定量金融 2019-05-22 Eric Benhamou , David Saltiel , Beatrice Guez , Nicolas Paris

The pairwise comparisons method is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the method is based on solving an eigenvalue problem for the…

离散数学 · 计算机科学 2015-09-25 Konrad Kułakowski

In the context of voting with ranked ballots, an important class of voting rules is the class of margin-based rules (also called pairwise rules). A voting rule is margin-based if whenever two elections generate the same head-to-head margins…

理论经济学 · 经济学 2026-03-11 Yifeng Ding , Wesley H. Holliday , Eric Pacuit

We consider the problem of finding a compromise between the opinions of a group of individuals on a number of mutually independent, binary topics. In this paper, we quantify the loss in representativeness that results from requiring the…

机器学习 · 计算机科学 2023-10-30 Robin Fritsch , Roger Wattenhofer

We study higher statistical moments of Distortion for randomized social choice in a metric implicit utilitarian model. The Distortion of a social choice mechanism is the expected approximation factor with respect to the optimal utilitarian…

计算机科学与博弈论 · 计算机科学 2020-04-29 Brandon Fain , William Fan , Kamesh Munagala
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