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Working with so-called linkages allows to define a copula-based, $[0,1]$-valued multivariate dependence measure $\zeta^1(\boldsymbol{X},Y)$ quantifying the scale-invariant extent of dependence of a random variable $Y$ on a $d$-dimensional…

Statistics Theory · Mathematics 2022-03-18 Florian Griessenberger , Robert R. Junker , Wolfgang Trutschnig

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

Econometrics · Economics 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

We show some non-standard Poincar\'e type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploiting the interplay between maximal functions and fractional…

Classical Analysis and ODEs · Mathematics 2021-09-24 María Eugenia Cejas , Carolina Mosquera , Carlos Pérez , Ezequiel Rela

Nonparametric estimators of a regression function with circular response and Rd-valued predictor are considered in this work. Local polynomial type estimators are proposed and studied. Expressions for their asymptotic biases and variances…

For time series data observed at non-random and possibly non-equidistant time points, we estimate the trend function nonparametrically. Under the assumption of a bounded total variation of the function and low-order moment conditions on the…

Statistics Theory · Mathematics 2025-02-13 Michael H. Neumann , Anne Leucht

This article proposes a novel estimator for regression coefficients in clustered data that explicitly accounts for within-cluster dependence. We study the asymptotic properties of the proposed estimator under both finite and infinite…

Methodology · Statistics 2026-02-05 Subhodeep Dey , Gopal K. Basak , Samarjit Das

Mark-point dependence plays a critical role in research problems that can be fitted into the general framework of marked point processes. In this work, we focus on adjusting for mark-point dependence when estimating the mean and covariance…

Methodology · Statistics 2022-07-26 Ganggang Xu , Jingfei Zhang , Yehua Li , Yongtao Guan

In classical study designs, the aim is often to learn about the effects of a treatment or intervention on a single outcome; in many modern studies, however, data on multiple outcomes are collected and it is of interest to explore effects on…

Methodology · Statistics 2017-06-15 Edward H. Kennedy , Shreya Kangovi , Nandita Mitra

The aim of this paper, is to define a bivariate exponentiated generalized linear exponential distribution based on Marshall-Olkin shock model. Statistical and reliability properties of this distribution are discussed. This includes…

Statistics Theory · Mathematics 2017-10-03 Mohamed Ibrahim , M. S. Eliwa , M. El- Morshedy

We assess the accuracy of Bayesian polynomial extrapolations from small parameter values, x, to large values of x. We consider a set of polynomials of fixed order, intended as a proxy for a fixed-order effective field theory (EFT)…

Methodology · Statistics 2022-06-17 M. A. Connell , I. Billig , D. R. Phillips

Parametric max-stable processes are increasingly used to model spatial extremes. Starting from the fact that the dependence structure of a max-stable process is completely characterized by an extreme-value copula, a class of goodness-of-fit…

Methodology · Statistics 2015-02-27 Ivan Kojadinovic , Hongwei Shang , Jun Yan

This paper addresses the problem of estimating the Potts parameter B jointly with the unknown parameters of a Bayesian model within a Markov chain Monte Carlo (MCMC) algorithm. Standard MCMC methods cannot be applied to this problem because…

Computation · Statistics 2015-06-05 Marcelo Pereyra , Nicolas Dobigeon , Hadj Batatia , Jean-Yves Tourneret

We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a $p$-adic analytic function interpolating unitary Friedberg--Jacquet periods.

Number Theory · Mathematics 2024-05-01 Andrew Graham

The upcrossings index $0\leq \eta\leq 1,$ a measure of the degree of local dependence in the upcrossings of a high level by a stationary process, plays, together with the extremal index $\theta,$ an important role in extreme events…

Probability · Mathematics 2015-08-04 Ana Paula Martins , João Renato Sebastião

The paper investigates the problem of performing correlation analysis when the number of observations is very large. In such a case, it is often necessary to combine the random observations to achieve dimensionality reduction of the…

Information Theory · Computer Science 2020-10-19 Pavel Loskot

Observational cohort studies with oversampled exposed subjects are typically implemented to understand the causal effect of a rare exposure. Because the distribution of exposed subjects in the sample differs from the source population,…

Methodology · Statistics 2019-02-14 Sherri Rose

Inference on an extreme-value copula usually proceeds via its Pickands dependence function, which is a convex function on the unit simplex satisfying certain inequality constraints. In the setting of an iid random sample from a multivariate…

Statistics Theory · Mathematics 2009-10-07 Gordon Gudendorf , Johan Segers

In this paper, we first investigate the estimation of the empirical joint Laplace transform of volatilities of two semi-martingales within a fixed time interval [0, T] by using overlapped increments of high-frequency data. The proposed…

Statistics Theory · Mathematics 2025-03-05 XinWei Feng , Yu Jiang , Zhi Liu , Zhe Meng

Anecdotally, using an estimated propensity score is superior to the true propensity score in estimating the average treatment effect based on observational data. However, this claim comes with several qualifications: it holds only if…

Methodology · Statistics 2023-04-03 Fangzhou Su , Wenlong Mou , Peng Ding , Martin J. Wainwright

We study the problem of estimating time-varying coefficients in ordinary differential equations. Current theory only applies to the case when the associated state variables are observed without measurement errors as presented in…

Statistics Theory · Mathematics 2009-10-07 Heng Lian