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Many random combinatorial objects have a component structure whose joint distribution is equal to that of a process of mutually independent random variables, conditioned on the value of a weighted sum of the variables. It is interesting to…

Probability · Mathematics 2013-08-16 Richard Arratia , Simon Tavare

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

Methodology · Statistics 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

This paper connects the classes of weighted alternating finite automata (WAFA), weighted finite tree automata (WFTA), and polynomial automata (PA). First, we investigate the use of trees in the run semantics for weighted alternating…

Logic in Computer Science · Computer Science 2024-02-14 Gustav Grabolle

In this paper, we study a novel approach for the estimation of quantiles when facing potential right censoring of the responses. Contrary to the existing literature on the subject, the adopted strategy of this paper is to tackle censoring…

Methodology · Statistics 2017-03-24 Mickaël De Backer , Anouar El Ghouch , Ingrid Van Keilegom

We consider the problem of regression with selectively observed covariates in a nonparametric framework. Our approach relies on instrumental variables that explain variation in the latent covariates but have no direct effect on selection.…

Econometrics · Economics 2020-10-15 Christoph Breunig , Peter Haan

This work proposes a new and flexible unreliable failure detector whose output is related to the trust level of a set of processes. By expressing the relevance of each process of the set by an impact factor value, our approach allows the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-28 Anubis G. M. Rossetto , Cláudio F. R. Geyer , Luciana Arantes , Pierre Sens

We consider a generalization of the weighted random ball model. The model is driven by a random Poisson measure with a product heavy tailed intensity measure. Such a model typically represents the transmission of a network of stations with…

Probability · Mathematics 2010-03-01 Jean-Christophe Breton , Clement Dombry

In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different…

Other Statistics · Statistics 2020-08-03 Azam Zaka , Ahmad Saeed Akhter , Riffat Jabeen

In this paper, we are concerned with nonparametric inference on the volatility of volatility process in stochastic volatility models. We construct several estimators for its integrated version in a high-frequency setting, all based on…

Statistics Theory · Mathematics 2015-09-30 Mathias Vetter

In this paper, we consider the concept of the residual inaccuracy measure and extend it to its weighted version based on extropy. Properties of this measure are studied and the discrimination principle is applied in the class of…

Methodology · Statistics 2025-02-03 M. Hashempour , M. R. Kazemi

Envelope methodology is succinctly pitched as a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives \citep[first sentence of page 1]{cook2018introduction}. This description is true…

Methodology · Statistics 2020-02-05 Daniel J. Eck

Persistence diagrams are efficient descriptors of the topology of a point cloud. As they do not naturally belong to a Hilbert space, standard statistical methods cannot be directly applied to them. Instead, feature maps (or representations)…

Probability · Mathematics 2020-12-01 Vincent Divol , Wolfgang Polonik

Quantification is the machine learning task of estimating test-data class proportions that are not necessarily similar to those in training. Apart from its intrinsic value as an aggregate statistic, quantification output can also be used to…

Machine Learning · Computer Science 2016-06-06 Aykut Firat

In many contexts, customized and weighted classification scores are designed in order to evaluate the goodness of the predictions carried out by neural networks. However, there exists a discrepancy between the maximization of such scores…

Machine Learning · Computer Science 2023-05-24 Francesco Marchetti , Sabrina Guastavino , Cristina Campi , Federico Benvenuto , Michele Piana

We study properties and applications of various circuit imbalance measures associated with linear spaces. These measures describe possible ratios between nonzero entries of support-minimal nonzero vectors of the space. The fractional…

Combinatorics · Mathematics 2021-12-15 Farbod Ekbatani , Bento Natura , László A. Végh

In this paper we propose a class of weighted rank correlation coefficients extending the Spearman's rho. The proposed class constructed by giving suitable weights to the distance between two sets of ranks to place more emphasis on items…

Statistics Theory · Mathematics 2020-01-22 M. Sanatgar , A. Dolati , M. Amini

Machine learning models commonly exhibit unexpected failures post-deployment due to either data shifts or uncommon situations in the training environment. Domain experts typically go through the tedious process of inspecting the failure…

This paper presents a framework based on matrices of monoids for the study of coupled cell networks. We formally prove within the proposed framework, that the set of results about invariant synchrony patterns for unweighted networks also…

Multiagent Systems · Computer Science 2022-01-13 Pedro M. Sequeira , António P. Aguiar , João Hespanha

This article describes a multivariate polynomial regression method where the uncertainty of the input parameters are approximated with Gaussian distributions, derived from the central limit theorem for large weighted sums, directly from the…

Machine Learning · Statistics 2013-10-04 Peter Kovesarki , Ian C. Brock

To address model uncertainty under flexible loss functions in prediction problems, we propose a model averaging method that accommodates various loss functions, including asymmetric linear and quadratic loss functions, as well as many other…

Methodology · Statistics 2025-01-23 Dieqi Gu , Qingfeng Liu , Xinyu Zhang
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