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The control function approach allows the researcher to identify various causal effects of interest. While powerful, it requires a strong invertibility assumption in the selection process, which limits its applicability. This paper expands…

计量经济学 · 经济学 2026-04-28 Sukjin Han , Hiroaki Kaido

We establish the boundedness character of solutions of a system of rational difference equations with a variable coefficient

动力系统 · 数学 2012-03-27 Elias Camouzis

In this talk I first review at an elementary level a selection of central limit theorems, including some lesser known cases, for sums and maxima of uncorrelated and correlated random variables. I recall why several of them appear in…

统计力学 · 物理学 2010-08-26 H. J. Hilhorst

We consider functionals of long-range dependent Gaussian sequences with infinite variance and obtain nonstandard limit theorems. When the long-range dependence is strong enough, the limit is a Hermite process, while for weaker long-range…

概率论 · 数学 2008-12-18 Allan Sly , Chris Heyde

This note includes an assessment of the partially overlapping samples t-tests in scenarios where elements of the test are at their extremes, including where only one sample contains independent observations

统计方法学 · 统计学 2019-06-05 Ben Derrick , Deirdre Toher , Paul White

Along this work we study an indefinite abstract smoothing problem. After establishing necessary and sufficient conditions for the existence of solutions to this problem, the set of admissible parameters is discussed in detail. Then, its…

The irreducible decomposition of a unitary representation often contains continuous spectrum when restricted to a non-compact subgroup. The author singles out a nice class of branching problems where each irreducible summand occurs…

表示论 · 数学 2011-06-22 Toshiyuki Kobayashi

In the recent development in a various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In this paper, we consider the deformations which have two purposes: to have them like…

经典分析与常微分方程 · 数学 2010-05-28 Miomir S. Stanković , Sladjana D. Marinković , Predrag M. Rajković

We consider sequences of additive functionals of difference approximations for uniformly non-degenerate multidimensional diffusions. The conditions are given, sufficient for such a sequence to converge weakly to a W-functional of the…

概率论 · 数学 2007-05-23 Alexey M. Kulik

This paper considers the problem of maximizing multiple linear functions over the probability simplex. A classification of feasible points is indicated. A necessary and sufficient condition for a member of each class to be an efficient…

最优化与控制 · 数学 2024-12-30 Anas Mifrani

We define a normal form (called the canonical image) of an arbitrary measurable function of several variables with respect to a natural group of transformations; describe a new complete system of invariants of such a function (the system of…

动力系统 · 数学 2013-01-25 A. Vershik

The concept of measurability of functions on a charge space is generalised for functions taking values in a uniform space. Several existing forms of measurability generalise naturally in this context, and new forms of measurability are…

泛函分析 · 数学 2024-01-05 Jonathan M. Keith

Necessary and sufficient conditions for the solvability of boundary value problems for a family of functional differential equations with a non-integrable singularity are obtained.

经典分析与常微分方程 · 数学 2013-07-16 Eugene Bravyi

The purpose of this paper is to present some multidimensional fixed-point theorems and their applications. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of a…

泛函分析 · 数学 2021-07-28 H. Akhadkulov , S. Akhatkulov , T. Y. Ying , R. Tilavov

In this paper we define a flow with limited intersection of its worldlines and we construct and solve functional equations for such flow using a special kind of set embedding. For examples we use particular cases studied in the past by…

动力系统 · 数学 2014-05-22 Petra Augustová , Lubomír Klapka

For maps of one complex variable, $f$, given as the sum of a degree $n$ power map and a degree $d$ polynomial, we provide necessary and sufficient conditions that the geometric limit as $n$ approaches infinity of the set of points that…

动力系统 · 数学 2020-08-14 Micah Brame , Scott Kaschner

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

综合数学 · 数学 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

We give a simple inequality for the sum of independent bounded random variables. This inequality improves on the celebrated result of Hoeffding in a special case. It is optimal in the limit where the sum tends to a Poisson random variable.

概率论 · 数学 2012-10-25 Christopher R. Dance

We prove that the following problem is decidable: given a finite set of relations, decide whether this set admits a near-unanimity function.

逻辑 · 数学 2011-08-09 Dmitriy Zhuk

Sufficient conditions for performing changes of the variable of integration when using the new definitions of improper integrals given in in "An Alternative Definition for Improper Integral with Infinite Limit" (arXiv:0805.3559v1) and "An…

经典分析与常微分方程 · 数学 2009-02-02 Michael A. Blischke