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The distribution of the sum of independent identically distributed uniform random variables is well-known. However, it is sometimes necessary to analyze data which have been drawn from different uniform distributions. By inverting the…

Statistics Theory · Mathematics 2010-05-25 David M. Bradley , Ramesh C. Gupta

In the fields of neuroimaging and genetics, a key goal is testing the association of a single outcome with a very high-dimensional imaging or genetic variable. Often, summary measures of the high-dimensional variable are created to…

Statistics Theory · Mathematics 2018-08-23 Simon N. Vandekar , Philip T. Reiss , Russell T. Shinohara

Consider informative selection of a sample from a finite population. Responses are realized as independent and identically distributed (i.i.d.) random variables with a probability density function (p.d.f.) f, referred to as the…

Statistics Theory · Mathematics 2012-11-26 Daniel Bonnéry , F. Jay Breidt , François Coquet

We consider a class of consensus systems driven by a nonlinear input. Such systems arise in a class of IoT applications. Our objective in this paper is to determine conditions under which a certain partially distributed system converges to…

Systems and Control · Computer Science 2017-07-12 Mingming Liu , Fabian Wirth , Martin Corless , Robert Shorten

There are various measures of predictive uncertainty in the literature, but their relationships to each other remain unclear. This paper uses a decomposition of statistical pointwise risk into components, associated with different sources…

Machine Learning · Statistics 2025-02-18 Nikita Kotelevskii , Vladimir Kondratyev , Martin Takáč , Éric Moulines , Maxim Panov

We construct a model of expert prediction where predictions can influence the state of the world. Under this model, we show through theoretical and numerical results that proper scoring rules can incentivize experts to manipulate the world…

Machine Learning · Computer Science 2022-07-08 Alan Chan

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

Methodology · Statistics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

Methodology · Statistics 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

There are over 55 different ways to construct a confidence respectively credible interval (CI) for the binomial proportion. Methods to compare them are necessary to decide which should be used in practice. The interval score has been…

Methodology · Statistics 2022-07-08 Lisa J. Hofer , Leonhard Held

A primary difficulty with unsupervised discovery of structure in large data sets is a lack of quantitative evaluation criteria. In this work, we propose and investigate several metrics for evaluating and comparing generative models of…

Machine Learning · Computer Science 2020-07-27 Daniel Jiwoong Im , Iljung Kwak , Kristin Branson

In this paper we describe a theory of a cumulative distribution function on a space with an order from a probability measure defined in this space. This distribution function plays a similar role to that played in the classical case.…

Probability · Mathematics 2019-04-12 J. F. Gálvez-Rodríguez , M. A. Sánchez-Granero

The continuous ranked probability score (crps) is the most commonly used scoring rule in the evaluation of probabilistic forecasts for real-valued outcomes. To assess and rank forecasting methods, researchers compute the mean crps over…

Methodology · Statistics 2023-11-27 Sebastian Arnold , Eva-Maria Walz , Johanna Ziegel , Tilmann Gneiting

Speech evaluation measures a learners oral proficiency using automatic models. Corpora for training such models often pose sparsity challenges given that there often is limited scored data from teachers, in addition to the score…

Artificial Intelligence · Computer Science 2024-09-24 Huayun Zhang , Jeremy H. M. Wong , Geyu Lin , Nancy F. Chen

The National Science Foundation (NSF) will be experimenting with a new distributed approach to reviewing proposals, whereby a group of principal investigators (PIs) or proposers in a subfield act as reviewers for the proposals submitted by…

Computer Science and Game Theory · Computer Science 2013-07-25 Parinaz Naghizadeh , Mingyan Liu

A novel approach towards construction of absolutely continuous distributions over the unit interval is proposed. Considering two absolutely continuous random variables with positive support, this method conditions on their convolution to…

Statistics Theory · Mathematics 2021-01-13 Aniket Biswas , Subrata Chakraborty

Many NLP learning tasks can be decomposed into several distinct sub-tasks, each associated with a partial label. In this paper we focus on a popular class of learning problems, sequence prediction applied to several sentiment analysis…

Computation and Language · Computer Science 2019-06-05 Xiao Zhang , Dan Goldwasser

Multi-view subspace clustering aims to divide a set of multisource data into several groups according to their underlying subspace structure. Although the spectral clustering based methods achieve promotion in multi-view clustering, their…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Songsong Wu , Zhiqiang Lu , Hao Tang , Yan Yan , Songhao Zhu , Xiao-Yuan Jing , Zuoyong Li

When comparing performance (of products, services, entities, etc.), multiple attributes are involved. This paper deals with a way of weighting these attributes when one is seeking an overall score. It presents an objective approach to…

Methodology · Statistics 2024-09-04 Chris Tofallis

Positive-Unlabelled (PU) learning is a growing area of machine learning that aims to learn classifiers from data consisting of labelled positive and unlabelled instances. Whilst much work has been done proposing methods for PU learning,…

Machine Learning · Computer Science 2022-06-07 Jack D. Saunders , Alex , A. Freitas

Let $R$ be an associative ring with identity and let $N$ be a nil ideal of $R$. It is shown that units of $R/N$ can be lifted to units in $R$. Under some mild conditions on the ring, a procedure is given to determine those lifted units in a…

Rings and Algebras · Mathematics 2020-04-30 F. D. de Melo Hernandez , César A. Hernández Melo , Horacio Tapia-Recillas