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Related papers: Combining parameter values or $p$-values

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We realize that geometric polynomials and p-Bernoulli polynomials and numbers are closely related with an integral representation. Therefore, using geometric polynomials, we extend some properties of Bernoulli polynomials and numbers such…

Number Theory · Mathematics 2017-02-22 Levent Kargın

Quantile-based classifiers can classify high-dimensional observations by minimising a discrepancy of an observation to a class based on suitable quantiles of the within-class distributions, corresponding to a unique percentage for all…

Methodology · Statistics 2024-04-23 Marco Berrettini , Christian Hennig , Cinzia Viroli

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

Computational Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

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

The importance of exploring a potential integration among surveys has been acknowledged in order to enhance effectiveness and minimize expenses. In this work, we employ the alignment method to combine information from two different surveys…

Methodology · Statistics 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

We consider a generalization of the Mahler measure of a multivariable polynomial $P$ as the integral of $\log^k|P|$ in the unit torus, as opposed to the classical definition with the integral of $\log|P|$. A zeta Mahler measure, involving…

Number Theory · Mathematics 2009-08-04 Nobushige Kurokawa , Matilde Lalin , Hiroyuki Ochiai

Impedance is one of the vital parameters that provides useful information for many power electronics related applications. A lot of impedance measurement methods in power electronics have been reported. However, a comprehensive…

Instrumentation and Detectors · Physics 2022-04-14 Huamin Jie , Zhenyu Zhao , Fan Fei , Rejeki Simanjorang , Firman Sasongko , Kye Yak See

Merging has become a widespread way to cheaply combine individual models into a single model that inherits their capabilities and attains better performance. This popularity has spurred rapid development of many new merging methods, which…

Machine Learning · Computer Science 2024-09-30 Derek Tam , Yash Kant , Brian Lester , Igor Gilitschenski , Colin Raffel

Using elementary methods, we establish old and new relations between binomial coefficients, Fibonacci numbers, Lucas numbers, and more.

Number Theory · Mathematics 2023-10-17 Greg Dresden , Yike Li

Sum of powers 1^p+...+n^p, with n and p being natural numbers and n>=1, can be expressed as a polynomial function of n of degree p+1. Such representations are often called Faulhaber formulae. A simple recursive algorithm for computing…

Discrete Mathematics · Computer Science 2009-03-26 M. Torabi Dashti

We present a new method for parameter identification of ODE system descriptions based on data measurements. Our method works by splitting the system into a number of subsystems and working on each of them separately, thereby being easily…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Anastasis Georgoulas , Allan Clark , Andrea Ocone , Stephen Gilmore , Guido Sanguinetti

We propose a method for constructing p-values for general hypotheses in a high-dimensional linear model. The hypotheses can be local for testing a single regression parameter or they may be more global involving several up to all…

Methodology · Statistics 2013-10-14 Peter Bühlmann

Combining p-values to integrate multiple effects is of long-standing interest in social science and biomedical research. In this paper, we focus on revisiting a classical scenario closely related to meta-analysis, which combines a…

Methodology · Statistics 2022-04-15 Yusi Fang , Chung Chang , George Tseng

In the last two decades, composite indicators' construction to measure and compare multidimensional phenomena in a broad spectrum of domains has increased considerably. Different methodological approaches are used to summarize huge data…

General Economics · Economics 2021-07-20 Ana Garcia-Bernabeu , Adolfo Hilario-Caballero

We open a new field on how one can define means on infinite sets. We investigate many different ways on how such means can be constructed. One method is based on sequences of ideals, other deals with accumulation points, one uses isolated…

Classical Analysis and ODEs · Mathematics 2019-06-18 Attila Losonczi

Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are well known. In this paper, we get a new relation among them…

Number Theory · Mathematics 2015-12-29 Shin-ya Kadota

We give an expression of polynomials for higher sums of powers of integers via the higher order Bernoulli numbers.

Number Theory · Mathematics 2017-10-16 Andrei K. Svinin , Svetlana V. Svinina

For Paley-Wiener functions on weighted combinatorial finite or infinite graphs we develop a weighted sampling theory in which samples are defined as inner products with weight functions (measuring devices). Three reconstruction methods are…

Functional Analysis · Mathematics 2019-06-11 Isaac Z. Pesenson

In our present investigation we propose to study and develop the I-function of two variables analogous to the I-function of one variable introduced and studied by one of the authors[24]. The conditions for convergence, series…

Complex Variables · Mathematics 2013-01-01 Shantha Kumari. K. , Vasudevan Nambisan T. M. , Arjun K. Rathie

Valuations, as additive functionals, allow various applications in Stochastic Geometry, yielding mean value formulas for specific random closed sets and processes of convex or polyconvex particles. In particular, valuations are especially…

Probability · Mathematics 2015-10-28 Julia Hörrmann , Wolfgang Weil