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Person-fit statistics are widely used to detect aberrant response patterns in educational and psychological measurement. Snijders (2001) suggested an asymptotically correct standardization for a broad class of such statistics. This paper…

Methodology · Statistics 2026-05-04 Sandip Sinharay

The angular measure on the unit sphere characterizes the first-order dependence structure of the components of a random vector in extreme regions and is defined in terms of standardized margins. Its statistical recovery is an important step…

Statistics Theory · Mathematics 2024-07-16 Stéphane Lhaut , Johan Segers

In this note a two sided bound on the tail probability of sums of independent, and either symmetric or nonnegative, random variables is obtained. We utilize a recent result by Lata{\l}a on bounds on moments of such sums. We also give a new…

Probability · Mathematics 2007-05-23 Paweł Hitczenko , Stephen Montgomery-Smith

In attempts to develop sample-efficient and interpretable algorithms, researcher have explored myriad mechanisms for collecting and exploiting feature feedback (or rationales) auxiliary annotations provided for training (but not test)…

Computation and Language · Computer Science 2022-10-18 Anurag Katakkar , Clay H. Yoo , Weiqin Wang , Zachary C. Lipton , Divyansh Kaushik

We use recurrences (alias difference equations) to prove the longstanding conjecture that the two most important permutation statistics, namely the number of inversions and the major index, are asymptotically joint-independently-normal. We…

Combinatorics · Mathematics 2011-02-08 Andrew Baxter , Doron Zeilberger

We present an approximation version of the results of D. P. Gupta [ J. of Approx. Theory, 7 (1973), 226-238] A. N. S. Singroura [Proc. Japan Acad., 39 (4) (1963), 208-210] and G. Szeg\"{o} [Math. Z., 25 (1926), 87-115]. Some corollaries and…

Classical Analysis and ODEs · Mathematics 2025-10-20 Maciej Kubiak , Wlodzimierz Lenski , Bogdan Szal

Hirota's results given in (Hirota.M.,1981) on the asymptotically stability are generalized to the price-scaled price adjustment process.

Dynamical Systems · Mathematics 2008-02-19 Tatsuro Yamamoto , Masanari Asano , Yoshio Togawa , Masanori Ohya

We point out that the "additivity principle" and "scaling hypothesis" postulated by Bodineau and Derrida in Phys. Rev. Lett 92, 180601 (2004), follow naturally from the saddle point evaluation of a diffusive field theory.

Statistical Mechanics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan

Lower-dimensional subspaces that impact estimates of uncertainty are often described by Linear combinations of input variables, leading to active variables. This paper extends the derivative-based active subspace methods and…

Numerical Analysis · Mathematics 2026-01-08 Matieyendou Lamboni , Sergei Kucherenko

This paper is a contribution in the context of variational data assimilation combined with statistical learning. The framework of data assimilation traditionally uses data collected at sensor locations in order to bring corrections to a…

Numerical Analysis · Mathematics 2023-05-09 Amina Benaceur , Barbara Verfürth

This paper examines three types of spurious regressions where both the dependent and independent variables contain deterministic trends, stochastic trends, or breaking trends. We show that the problem of spurious regression disappears if…

Methodology · Statistics 2016-06-17 Minghua Wu , Pin You , Nan Zou

The authors mention work of Christensen, Mycielski, Tsujii, and others which is closely related to a survey article by the first author [math.FA/9210220].

Functional Analysis · Mathematics 2008-02-03 Brian R. Hunt , Tim Sauer , James A. Yorke

In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem~3 by Carr (1981,1983). Here we extend the theory to cover the case where the order of…

Dynamical Systems · Mathematics 2007-05-23 Zhenquan Li , A. J. Roberts

Statistical causal inference from observational studies often requires adjustment for a possibly multi-dimensional variable, where dimension reduction is crucial. The propensity score, first introduced by Rosenbaum and Rubin, is a popular…

Statistics Theory · Mathematics 2020-04-28 Hui Guo , Philip Dawid , Giovanni Berzuini

This paper examines the existence and region of convergence of Fourier transform of the functions of bicomplex variables with the help of projection on its idempotent components as auxiliary complex planes. Several basic properties of this…

Complex Variables · Mathematics 2015-10-20 Abhijit Banerjee , Sanjib Kumar Datta , Md Azizul Hoque

Suppose we are interested in the mean of an outcome that is subject to nonignorable nonresponse. This paper develops new semiparametric estimation methods with instrumental variables which affect nonresponse, but not the outcome. The…

Methodology · Statistics 2024-08-20 Baoluo Sun , Wang Miao , Deshanee S. Wickramarachchi

In the paper "The relativistic Doppler effect: when a zero-frequency shift or a red shift exists for sources approaching the observer, Ann. Phys. (Berlin) 523, No. 3, 239-246 (2011), DOI 10.1002/andp.201000099 by C. Wang the use of an…

Classical Physics · Physics 2019-04-23 Zoran Basrak

The paper considers the problem of establishing data support for the simplifying assumption (SA) in a bivariate conditional copula model. It is known that SA greatly simplifies the inference for a conditional copula model, but standard…

Methodology · Statistics 2019-09-30 Evgeny Levi , Radu V Craiu

The question raised by [Bastin and Martin 2003 J. Phys. B: At. Mol. Opt. Phys. 36, 4201] is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques…

Quantum Physics · Physics 2009-11-10 M. Abdel-Aty , A. -S. F. Obada

This bibliography attempts to give a comprehensive overview of all the literature related to the Ashtekar variables. The original version was compiled by Peter H\"ubner in 1989, and it has been subsequently updated by Gabriela Gonzalez,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Troy A. Schilling
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