Results 31 to 40 of about 2,345,508 (316)

On Tail Probabilities of Continuous Probability Distributions with Heavy Tails [PDF]

open access: yesKorean Journal of Applied Statistics, 2013
Abstract The paper examines several classes of probability distributions with heavy tails. An (asymptotic) expressionfor tail probability needs to be known to understand which class a given probability distribution belongs to.It is usually not easy to get expressions for tail probabilities since most absolutely continuous probabilitydistributions are ...
openaire   +1 more source

The weak Pareto law and regular variation in the tails

open access: yesStatistica, 2007
We show that the weak Pareto law, as used to characterize the tail behaviour of income distributions, implies regularly varying tail probabilities, but that the reverse implication does not hold. We also establish implications among other versions of the
Walter Kramer, T. Ziebach
doaj   +1 more source

Tails of the crossing probability [PDF]

open access: yesPhysical Review E, 2005
The scaling of the tails of the probability of a system to percolate only in the horizontal direction pi(hs) was investigated numerically for the correlated site-bond percolation model (q -state Potts model) for q=1 , 2, 3, 4 (where q is the number of spin states).
openaire   +2 more sources

Asymptotic results for tail probabilities of sums of dependent and heavy-tailed random variables [PDF]

open access: yes, 2011
Let X1,X2, ... be a sequence of dependent and heavy-tailed random variables with distributions F1, F2, ... on (−∞,∞), and let τ be a nonnegative integer-valued random variable independent of the sequence {Xk, k ≥ 1}.
K. Yuen, C. Yin
semanticscholar   +1 more source

On measure concentration in graph products

open access: yesLietuvos Matematikos Rinkinys, 2009
Bollobás and Leader [1] showed that among the n-fold products of connected graphs of order k the one with minimal t-boundary is the grid graph. Given any product graph G and a set A of its vertices that contains at least half of V (G), the number of ...
Matas Šileikis
doaj   +1 more source

Skewness-kurtosis adjusted confidence estimators and significance tests [PDF]

open access: yes, 2015
First and second kind modifications of usual confidence intervals for estimating the expectation and of usual local alternative parameter choices are introduced in a way such that the asymptotic behavior of the true non-covering probabilities and the ...
Richter, Wolf-Dieter
core   +2 more sources

Multivariate Global-Local Priors for Small Area Estimation

open access: yesStats, 2022
It is now widely recognized that small area estimation (SAE) needs to be model-based. Global-local (GL) shrinkage priors for random effects are important in sparse situations where many areas’ level effects do not have a significant impact on the ...
Tamal Ghosh   +3 more
doaj   +1 more source

Assessing stochastic algorithms for large scale nonlinear least squares problems using extremal probabilities of linear combinations of gamma random variables [PDF]

open access: yes, 2014
This article considers stochastic algorithms for efficiently solving a class of large scale non-linear least squares (NLS) problems which frequently arise in applications.
Ascher, Uri   +2 more
core   +2 more sources

A Method for Bounding Tail Probabilities

open access: yesIEEE Access
We present a method for upper and lower bounding the right and the left tail probabilities of continuous random variables (RVs). For the right tail probability of RV $X$ with probability density function $f (x)$ , this method requires first setting a ...
Nikola Zlatanov
doaj   +1 more source

Some results on convergence rates for probabilities of moderate deviations for sums of random variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Let X, Xn, n≥1 be a sequence of iid real random variables, and Sn=∑k=1nXk, n≥1. Convergence rates of moderate deviations are derived, i.e., the rate of convergence to zero of certain tail probabilities of the partial sums are determined.
Deli Li, Xiangchen Wang, M. Bhaskara Rao
doaj   +1 more source

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