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Process capability indices such as $C_{pk}$ are widely used in manufacturing quality control to support supplier qualification and product release decisions based on fixed acceptance thresholds (e.g., $C_{pk} \geq 1.33$). In practice, these…

应用统计 · 统计学 2026-03-13 Fei Jiang , Lei Yang

Traditional tolerancing considers the conformity of a batch when the batch satisfies the specifications. The characteristic is considered for itself and not according to its incidence in the assembly. Inertial tolerancing proposes another…

其他计算机科学 · 计算机科学 2010-02-02 Pierre-Antoine Adragna , Maurice Pillet , Fabien Formosa , Serge Samper

Process capability indices such as $C_{pk}$ are widely used in manufacturing to support supplier qualification, pilot-build release, and production approval. In practice, approval decisions are often based on deterministic threshold rules…

应用统计 · 统计学 2026-05-14 Fei Jiang , Lei Yang

Process capability indices such as $C_{pk}$ are widely used for manufacturing decisions, yet are typically applied via deterministic thresholding of finite-sample estimates, ignoring uncertainty and leading to unstable outcomes near the…

应用统计 · 统计学 2026-04-16 Fei Jiang , Lei Yang

Pairwise comparisons between alternatives are a well-established tool to decompose decision problems into smaller and more easily tractable sub-problems. However, due to our limited rationality, the subjective preferences expressed by…

人工智能 · 计算机科学 2016-03-15 Matteo Brunelli

Pairwise comparisons are a well-known method for the representation of the subjective preferences of a decision maker. Evaluating their inconsistency has been a widely studied and discussed topic and several indices have been proposed in…

人工智能 · 计算机科学 2014-12-25 Matteo Brunelli , Michele Fedrizzi

In unsupervised machine learning, agreement between partitions is commonly assessed with so-called external validity indices. Researchers tend to use and report indices that quantify agreement between two partitions for all clusters…

机器学习 · 统计学 2019-01-08 Matthijs J. Warrens , Hanneke van der Hoef

The universal scalability law of computational capacity is a rational function C_p = P(p)/Q(p) with P(p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has been long used for statistical…

性能 · 计算机科学 2008-08-25 Neil J. Gunther

In this paper we introduce a novel family of decision lists consisting of highly interpretable models which can be learned efficiently in a greedy manner. The defining property is that all rules are oriented in the same direction.…

机器学习 · 统计学 2016-01-12 Marc Goessling , Shan Kang

A pattern of a sequence is a sequence of integer indices with each index describing the order of first occurrence of the respective symbol in the original sequence. In a recent paper, tight general bounds on the block entropy of patterns of…

信息论 · 计算机科学 2007-11-15 Gil I. Shamir

This paper proposes a new notion of typical sequences on a wide class of abstract alphabets (so-called standard Borel spaces), which is based on approximations of memoryless sources by empirical distributions uniformly over a class of…

信息论 · 计算机科学 2016-11-17 Maxim Raginsky

The Generalized Central Limit Theorem is a remarkable generalization of the Central Limit Theorem, showing that the sum of a large number of independent, identically-distributed (i.i.d) random variables with infinite variance may converge…

统计力学 · 物理学 2020-02-19 Ariel Amir

Pairwise comparison matrices often exhibit inconsistency, therefore many indices have been suggested to measure their deviation from a consistent matrix. A set of axioms has been proposed recently that is required to be satisfied by any…

人工智能 · 计算机科学 2020-05-28 László Csató

Bounds on the entropy of patterns of sequences generated by independently identically distributed (i.i.d.) sources are derived. A pattern is a sequence of indices that contains all consecutive integer indices in increasing order of first…

信息论 · 计算机科学 2007-07-13 Gil I. Shamir

I propose a model of aggregation of intervals relevant to the study of legal standards of tolerance. Seven axioms: responsiveness, anonymity, continuity, strategyproofness, and three variants of neutrality are then used to prove several…

理论经济学 · 经济学 2025-01-03 Alan D. Miller

This paper studies the propagation of finite-sample uncertainty under nonlinear transformations commonly used in statistical decision systems. In particular, we consider process capability indices, which are widely used in manufacturing…

应用统计 · 统计学 2026-05-11 Fei Jiang , Lei Yang

We revisit Esteban and Ray's (1994) seminal model of polarization. Their main result (unnecessarily) relies on the assumption that individuals are infinitely divisible, which imposes strong restrictions on admissible polarization indices.…

综合经济学 · 经济学 2025-11-25 Juan A. Crespo , Armajac Raventós-Pujol

This paper studies power indices based on average representations of a weighted game. If restricted to account for the lack of power of dummy voters, average representations become coherent measures of voting power, with power distributions…

计算机科学与博弈论 · 计算机科学 2017-10-10 Serguei Kaniovski , Sascha Kurz

Indices quantifying the performance of classifiers under class-imbalance, often suffer from distortions depending on the constitution of the test set or the class-specific classification accuracy, creating difficulties in assessing the…

机器学习 · 计算机科学 2020-08-28 Sankha Subhra Mullick , Shounak Datta , Sourish Gunesh Dhekane , Swagatam Das

Important data mining problems such as nearest-neighbor search and clustering admit theoretical guarantees when restricted to objects embedded in a metric space. Graphs are ubiquitous, and clustering and classification over graphs arise in…

组合数学 · 数学 2018-01-16 Jose Bento , Stratis Ioannidis
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