Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · math/0101151

Multi-dimensional Meta-analysis for Assessment of Relationships between Asthma Rates and Particulate Air Pollution

J. I. Brand·M. S. Hallbeck·S. M. Ryan
View original source ↗Read source document ↗Export metadata ↓

Abstract

Multi-dimensional meta-analysis (MDMA) is an innovative technique for investigating complex scientific problems influenced by "external" factors, such as social, medical, economic, political or climatic trends. MDMA extends traditional meta-analysis by identifying significant data from diverse and independent disciplines ("orthogonal dimensions") and incorporating truth tables and non-parametric analysis methods in the interpretation protocol. In this paper, we outline the methodology of MDMA. We then demonstrates how to apply the method to a specific problem: the relationship between asthma and air particulates. The conclusions from the example show that the further reduction of atmospheric particulate levels is not necessarily the answer to the increasing asthma incidence. This example also demonstrates the strength of this method of analysis for complex problems.

Explore related subjects

math.GM

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

J. I. Brand, M. S. Hallbeck, S. M. Ryan. 2001-01-18. Multi-dimensional Meta-analysis for Assessment of Relationships between Asthma Rates and Particulate Air Pollution. https://arxiv.org/abs/math/0101151

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

The Collatz Conjecture & Non-Archimedean Spectral Theory -- Part II -- $\left(p,q\right)$-Adic Fourier Analysis and Wiener's Tauberian Theorem

This paper gives an overview of $\left(p,q\right)$-adic Fourier theory - the Fourier theory of functions from the $p$-adic numbers to the $q$-adic numbers, where $p$ and $q$ are distinct primes - which we then use to prove a novel $\left(p,q\right)$-adic generalization of Norbert Wiener's celebrated Tauberian Theorem. Letting $K$ be a metrically complete, algebraically closed local field of residue characteristic $q$, letting $C\left(\mathbb{Z}_{p},K\right)$ be the Banach space of continuous functions $\mathbb{Z}_{p}\rightarrow K$, and letting $dμ$ be a $\left(p,q\right)$-adic measure (a continuous linear functional $C\left(\mathbb{Z}_{p},K\right)\rightarrow K)$, the $\left(p,q\right)$-adic Wiener Tauberian Theorem (WTT) we prove establishes that the density of the span of translates of $dμ$'s Fourier-Stieltjes Transform implies the non-vanishing of the Radon-Nikodym derivative of $dμ$ at all points in $\mathbb{Z}_{p}$ where the derivative exists in $K$.

math.GM↗
arXiv2026

Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by $Exp(-ax^{2})$ and divided by powers

Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by $Exp(-ax^{2})$ and divided by powers. A series solution is given for the individual terms (of any inverse power) in such functions, split into even and odd portions. Eight integrals are given involving these series. Three infinite sets of auxiliary integrals are also given.

math.GM↗