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This paper considers the problem of testing many moment inequalities where the number of moment inequalities, denoted by $p$, is possibly much larger than the sample size $n$. There is a variety of economic applications where solving this…

Statistics Theory · Mathematics 2018-10-22 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

We consider a bivariate time series $(X_t,Y_t)$ that is given by a simple linear autoregressive model. Assuming that the equations describing each variable as a linear combination of past values are considered structural equations, there is…

Statistics Theory · Mathematics 2018-04-12 Dominik Janzing , Paul Rubenstein , Bernhard Schölkopf

Inferring linear dependence between time series is central to our understanding of natural and artificial systems. Unfortunately, the hypothesis tests that are used to determine statistically significant directed or multivariate…

Methodology · Statistics 2021-02-24 Oliver M. Cliff , Leonardo Novelli , Ben D. Fulcher , James M. Shine , Joseph T. Lizier

We consider the problem of learning causal models from observational data generated by linear non-Gaussian acyclic causal models with latent variables. Without considering the effect of latent variables, one usually infers wrong causal…

Machine Learning · Computer Science 2019-08-13 Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash , Kun Zhang

We consider an integer-valued time series $Y=(Y_t)_{t\in\Z}$ where the models after a time $k^*$ is Poisson autoregressive with the conditional mean that depends on a parameter $\theta^*\in\Theta\subset\R^d$. The structure of the process…

Statistics Theory · Mathematics 2020-05-05 William Kengne , Isidore Séraphin Ngongo

For a partial structural change in a linear regression model with a single break, we develop a continuous record asymptotic framework to build inference methods for the break date. We have T observations with a sampling frequency h over a…

Statistics Theory · Mathematics 2021-11-16 Alessandro Casini , Pierre Perron

We investigate two models for the following setup: We consider a stochastic process X \in C[0,1] whose distribution belongs to a parametric family indexed by \vartheta \in {\Theta} \subset R. In case \vartheta = 0, X is a generalized Pareto…

Statistics Theory · Mathematics 2012-11-13 Stefan Aulbach , Michael Falk

In this work, we formalize the problem of causal inference over graph-based relational time-series data where each node in the graph has one or more time-series associated to it. We propose causal inference models for this problem that…

Machine Learning · Computer Science 2020-01-27 Ryan Rossi , Somdeb Sarkhel , Nesreen Ahmed

We describe a statistical test for association of two autocorrelated time series, one of which generated randomly at each time point from a known but possibly history-dependent distribution. The null hypothesis is that at each time point,…

Methodology · Statistics 2022-07-08 Kenneth D. Harris

In this paper we consider the problem of detecting a change in the parameters of an autoregressive process, where the moments of the innovation process do not necessarily exist. An empirical likelihood ratio test for the existence of a…

Statistics Theory · Mathematics 2016-12-07 Fumiya Akashi , Holger Dette , Yan Liu

We consider a diffusion $(\xi_t)_{t\ge 0}$ with some $T$-periodic time dependent input term contained in the drift: under an unknown parameter $\vth\in\Theta$, some discontinuity - an additional periodic signal - occurs at times…

Statistics Theory · Mathematics 2010-03-18 Reinhard Hoepfner , Yury Kutoyants

We propose a nonparametric procedure to test for changes in correlation matrices at an unknown point in time. The new test requires only mild assumptions on the serial dependence structure and has considerable power in finite samples. We…

Methodology · Statistics 2014-10-29 Dominik Wied

This paper studies a statistical network model generated by a large number of randomly sized overlapping communities, where any pair of nodes sharing a community is linked with probability $q$ via the community. In the special case with…

Probability · Mathematics 2018-06-26 Joona Karjalainen , Johan S. H. van Leeuwaarden , Lasse Leskelä

Causal analyses of longitudinal data generally assume that the qualitative causal structure relating variables remains invariant over time. In structured systems that transition between qualitatively different states in discrete time steps,…

Methodology · Statistics 2020-11-11 Ranjani Srinivasan , Jaron Lee , Rohit Bhattacharya , Narges Ahmidi , Ilya Shpitser

We introduce a class of semiparametric time series models by assuming a quasi-likelihood approach driven by a latent factor process. More specifically, given the latent process, we only specify the conditional mean and variance of the time…

Methodology · Statistics 2021-04-02 Gisele O. Maia , Wagner Barreto-Souza , Fernando S. Bastos , Hernando Ombao

We introduce a rigorous and sensitive significance test for hyperuniformity that yields reliable results even from a single sample. Our approach is based on a detailed analysis of the empirical Fourier transform of a stationary point…

Statistics Theory · Mathematics 2026-03-23 Michael A. Klatt , Günter Last , Norbert Henze

We define causal estimands for experiments on single time series, extending the potential outcome framework to dealing with temporal data. Our approach allows the estimation of some of these estimands and exact randomization based p-values…

Methodology · Statistics 2020-02-17 Iavor Bojinov , Neil Shephard

In this paper we propose a new test for the hypothesis of a constant coefficient of variation in the common nonparametric regression model. The test is based on an estimate of the $L^2$-distance between the square of the regression function…

Statistics Theory · Mathematics 2008-09-30 H. Dette , G. Wieczorek

Structural changes and outliers often coexist, complicating statistical inference. This paper addresses the problem of testing for parameter changes in conditionally heteroscedastic time series models, particularly in the presence of…

Methodology · Statistics 2025-12-16 Junmo Song

This paper proposes the cross-quantilogram to measure the quantile dependence between two time series. We apply it to test the hypothesis that one time series has no directional predictability to another time series. We establish the…

Statistics Theory · Mathematics 2018-01-23 Heejoon Han , Oliver Linton , Tatsushi Oka , Yoon-Jae Whang