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Journal ArticleDOI

On the Ratio of Fréchet Random Variables

TLDR
In this paper, the distribution of the ratio X/Y is derived when X and Y are independent Frechet random variables and extensive tabulations of the associated percentage points are also given.
Abstract
The distribution of the ratio X/Y is derived when X and Y are independent Frechet random variables. Extensive tabulations of the associated percentage points are also given.

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Citations
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Journal ArticleDOI

The Exact Distribution of The Ratio of Two IndependentHypoexponential Random Variables

TL;DR: In this article, the exact expressions for the probability density function, the cumulative distribution function, moment generating function, reliability function and hazard function were proved to be a linear combination of the generalized-F distribution.
Journal ArticleDOI

Trade and the political economy of redistribution

TL;DR: In this paper, the authors show how international trade affects the support for policies which redistribute income between workers across sectors, and how the existence of such policies changes support for trade liberalization.
Journal ArticleDOI

The distribution of the quotient of two triangularly distributed random variables

TL;DR: In this article, the exact distributions of the quotients for independent and triangularly distributed random variables are obtained. And these quotients are useful especially in operations research and reliability engineering, and some reliability applications of the results are also given.

De-Specialization, Dutch Disease and Sectoral Productivity Dierences 1

TL;DR: Gash et al. as discussed by the authors used macro cross-country data and micro US county level data to demonstrate that resource rich regions have significantly higher TFP in manufacturing than resource poor regions, but a slightly lower output per worker in non-manufacturing.
Journal ArticleDOI

Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables

TL;DR: In this paper, the cumulative distribution functions (CDF) and probability density functions (PDF) of the ratio and product of two independent Weibull and Lindley random variables are derived.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Extreme Value Distributions: Theory and Applications

TL;DR: Univariate extreme value distributions (UVD) as discussed by the authors, generalized extreme value distribution (GVD) and multivariate Extreme Value Distribution (MVDD) have been used to estimate the EVD.
Journal ArticleDOI

Ratios of Normal Variables and Ratios of Sums of Uniform Variables

TL;DR: In this article, the distribution and density functions of the ratio of two normal random variables were studied in terms of the vivariate normal distribution and the Nicholson's V function, both of which have been extensively studied and for which tables and computational procedures are readily available.
Journal ArticleDOI

Distributions of the ratios of independent beta variables and applications

TL;DR: In this article, the exact expressions of X1/X2 and X1/(X1+X2) were established, where X1 and X2 are independent beta random variables of the first type.
Journal ArticleDOI

The t-Ratio Distribution

TL;DR: The distribution of the ratio of correlated Student t-variates is of interest in problems in econometrics, and ranking and selection as discussed by the authors, and the density of this ratio is derived and computer graphs of the density are given in terms of standardized variates.
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