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New nonparametric tests of copula exchangeability and radial symmetry are proposed. The novel aspect of the tests is a resampling procedure that exploits group invariance conditions associated with the relevant symmetry hypothesis. They may…

Econometrics · Economics 2020-12-16 Brendan K. Beare , Juwon Seo

We argue that randomized controlled trials (RCTs) are special even among settings where average treatment effects are identified by a nonparametric unconfoundedness assumption. This claim follows from two results of Robins and Ritov (1997):…

Methodology · Statistics 2021-09-28 P. M. Aronow , James M. Robins , Theo Saarinen , Fredrik Sävje , Jasjeet Sekhon

We consider a monopolistic seller in a market that may be segmented. The surplus of each consumer in a segment depends on the price that the seller optimally charges, which depends on the set of consumers in the segment. We study which…

Theoretical Economics · Economics 2022-10-25 Nima Haghpanah , Ron Siegel

In this paper, we propose a simple method for testing identifying assumptions in parametric separable models, namely treatment exogeneity, instrument validity, and/or homoskedasticity. We show that the testable implications can be written…

Econometrics · Economics 2024-10-17 Leonard Goff , Désiré Kédagni , Huan Wu

We propose a kernel-based nonparametric framework for mean-variance optimization that enables inference on economically motivated shape constraints in finance, including positivity, monotonicity, and convexity. Many central hypotheses in…

Machine Learning · Statistics 2026-01-26 Rohan Sen

Asymptotic bootstrap validity is usually understood as consistency of the distribution of a bootstrap statistic, conditional on the data, for the unconditional limit distribution of a statistic of interest. From this perspective, randomness…

Econometrics · Economics 2025-10-09 Giuseppe Cavaliere , Iliyan Georgiev

Testing for causation, defined as the preceding impact of the past values of one variable on the current value of another one when all other pertinent information is accounted for, is increasingly utilized in empirical research of the…

Econometrics · Economics 2021-06-22 Abdulnasser Hatemi-J

We empirically investigate distributions of individual consumption expenditure f or four commodity categories conditional on fixed income levels. The data stems from the Family Expenditure Survey carried out annually in the United Kingdom.…

Statistical Mechanics · Physics 2009-11-07 Martin Hohnisch , Sabine Pittnauer , Manisha Chakrabarty

There exist a number of tests for assessing the nonparametric heteroscedastic location-scale assumption. Here we consider a goodness-of-fit test for the more general hypothesis of the validity of this model under a parametric functional…

Statistics Theory · Mathematics 2020-01-01 Marie Hušková , Simos G. Meintanis , Charl Pretorius

This paper studies semiparametric identification of substitution and complementarity patterns between two goods using a panel multinomial choice model with bundles. The model allows the two goods to be either substitutes or complements and…

Econometrics · Economics 2023-04-04 Rui Wang

Noncommutative rational functions, i.e., elements of the universal skew field of fractions of a free algebra, can be defined through evaluations of noncommutative rational expressions on tuples of matrices. This interpretation extends their…

Rings and Algebras · Mathematics 2018-04-24 Jurij Volčič

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

Statistics Theory · Mathematics 2019-01-14 Anupam Kundu , Subir Kumar Bhandari

There are two reasons why uncertainty may not be adequately described by Probability Theory. The first one is due to unique or nearly-unique events, that either never realized or occurred too seldom for frequencies to be reliably measured.…

Artificial Intelligence · Computer Science 2023-03-17 Florian Ellsaesser , Guido Fioretti , Gail E. James

Symmetry tests provide an important probe for the structure of elementary particle interactions and for the validity of the standard model. However, it is pointed out that in the interpretation of such experiments one must keep in mind that…

High Energy Physics - Phenomenology · Physics 2011-04-15 Barry R. Holstein

Individual choices often depend on the order in which the decisions are made. In this paper, we expose a general theory of measurable systems (an example of which is an individual's preferences) allowing for incompatible (non-commuting)…

Physics and Society · Physics 2007-06-20 V. I. Danilov , A. Lambert-Mogiliansky

The notion of a non-deterministic logical matrix (where connectives are interpreted as multi-functions) extends the traditional semantics for propositional logics based on logical matrices (where connectives are interpreted as functions).…

Logic · Mathematics 2024-12-19 Carlos Caleiro , Pedro Filipe , Sérgio Marcelino

This paper develops a method to use singles' data in a non-parametric revealed preference setting of collective household choice. We use it to test the controversial assumption of preference stability between singles and couples, without…

Econometrics · Economics 2026-05-07 Stefan Hubner

We consider a nonparametric autoregression model under conditional heteroscedasticity with the aim to test whether the innovation distribution changes in time. To this end we develop an asymptotic expansion for the sequential empirical…

Methodology · Statistics 2012-11-07 Leonie Selk , Natalie Neumeyer

Unmeasured confounding is a threat to causal inference in observational studies. In recent years, use of negative controls to mitigate unmeasured confounding has gained increasing recognition and popularity. Negative controls have a…

Methodology · Statistics 2019-09-05 Xu Shi , Wang Miao , Jennifer C. Nelson , Eric J. Tchetgen Tchetgen

This paper studies the identification, estimation, and hypothesis testing problem in complete and incomplete economic models with testable assumptions. Testable assumptions ($A$) give strong and interpretable empirical content to the models…

Econometrics · Economics 2022-03-11 Moyu Liao