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This paper deals with the study of dependencies between two given events modeled by point processes. In particular, we focus on the context of DNA to detect favored or avoided distances between two given motifs along a genome suggesting…

Statistics Theory · Mathematics 2011-07-22 Laure Sansonnet

The scope of this research is the identification of unknown piecewise constant parameters of linear regression equation under the finite excitation condition. Compared to the known methods, to make the computational burden lower, only one…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Anton Glushchenko , Konstantin Lastochkin

Assume that we observe a sample of size n composed of p-dimensional signals, each signal having independent entries drawn from a scaled Poisson distribution with an unknown intensity. We are interested in estimating the sum of the n unknown…

Statistics Theory · Mathematics 2018-01-19 Olivier Collier , Arnak Dalalyan

In functional linear regression, the slope ``parameter'' is a function. Therefore, in a nonparametric context, it is determined by an infinite number of unknowns. Its estimation involves solving an ill-posed problem and has points of…

Statistics Theory · Mathematics 2007-08-07 Peter Hall , Joel L. Horowitz

We propose a new estimator, the thresholded scaled Lasso, in high dimensional threshold regressions. First, we establish an upper bound on the $\ell_\infty$ estimation error of the scaled Lasso estimator of Lee et al. (2012). This is a…

Methodology · Statistics 2015-02-11 Laurent Callot , Mehmet Caner , Anders Bredahl Kock , Juan Andres Riquelme

The level set estimation problem seeks to identify regions within a set of candidate points where an unknown and costly to evaluate function's value exceeds a specified threshold, providing an efficient alternative to exhaustive evaluations…

Machine Learning · Statistics 2025-03-27 Hideaki Ishibashi , Kota Matsui , Kentaro Kutsukake , Hideitsu Hino

An important issue in social network analysis refers to the development of algorithms for estimating optimal parameters of a social network model, using data available from the network itself. This entails solving an optimization problem.…

Statistics Theory · Mathematics 2018-09-18 Pietro Lenarda , Giorgio Gnecco , Massimo Riccaboni

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

Threshold methods are popular for ordinal regression problems, which are classification problems for data with a natural ordinal relation. They learn a one-dimensional transformation (1DT) of observations of the explanatory variable, and…

Machine Learning · Computer Science 2024-05-24 Ryoya Yamasaki , Toshiyuki Tanaka

In many fields of research null hypothesis significance tests and p values are the accepted way of assessing the degree of certainty with which research results can be extrapolated beyond the sample studied. However, there are very serious…

Methodology · Statistics 2020-01-14 Michael Wood

We present the expected values from p-value hacking as a choice of the minimum p-value among $m$ independents tests, which can be considerably lower than the "true" p-value, even with a single trial, owing to the extreme skewness of the…

Applications · Statistics 2018-01-29 Nassim Nicholas Taleb

Regression analysis is a standard supervised machine learning method used to model an outcome variable in terms of a set of predictor variables. In most real-world applications we do not know the true value of the outcome variable being…

Machine Learning · Statistics 2019-10-10 Henri Tiittanen , Emilia Oikarinen , Andreas Henelius , Kai Puolamäki

The dual problem of testing the predictive significance of a particular covariate, and identification of the set of relevant covariates is common in applied research and methodological investigations. To study this problem in the context of…

Statistics Theory · Mathematics 2015-06-11 Julian A. A. Collazos , Adriano Z. Zambom

To obtain reliable results of expertise, which usually use individual and group expert pairwise comparisons, it is important to summarize (aggregate) expert estimates provided that they are sufficiently consistent. There are several ways to…

Methodology · Statistics 2024-10-07 Vitaliy Tsyganok , Andriy Olenko , Pavlo Roik , Oksana Vlasenko

Many problems involve the use of models which learn probability distributions or incorporate randomness in some way. In such problems, because computing the true expected gradient may be intractable, a gradient estimator is used to update…

Machine Learning · Computer Science 2022-12-29 Ronan Keane , H. Oliver Gao

Recent likelihood theory produces $p$-values that have remarkable accuracy and wide applicability. The calculations use familiar tools such as maximum likelihood values (MLEs), observed information and parameter rescaling. The usual…

Methodology · Statistics 2008-02-08 M. Bédard , D. A. S. Fraser , A. Wong

Introductory statistical inference texts and courses treat the point estimation, hypothesis testing, and interval estimation problems separately, with primary emphasis on large-sample approximations. Here I present an alternative approach…

Other Statistics · Statistics 2017-07-14 Ryan Martin

Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often…

Statistics Theory · Mathematics 2025-03-28 Ka Long Keith Ho , Hien Duy Nguyen

Model-based control techniques have recently been investigated for the recommendation of medication dosages to address thyroid diseases. These techniques often rely on knowledge of internal hormone concentrations that cannot be measured…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Seth Siriya , Tobias M. Wolff , Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

We propose a novel regression adjustment method designed for estimating distributional treatment effect parameters in randomized experiments. Randomized experiments have been extensively used to estimate treatment effects in various…

Econometrics · Economics 2024-07-24 Undral Byambadalai , Tatsushi Oka , Shota Yasui
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