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Cumulative Damage Distributions

2007
The density of the first-passage time for a particle, with drift, undergoing Brownian motion was first obtained by E. Schrodinger [101, 1915]. He considered N particles in Brownian motion, all initially at zero and white. When one reaches a distance l it becomes green.
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Cumulants of infinitely divisible distributions

ROSE, 2009
Abstract In this expository article, we provide a unified version of the literature on certain aspects of cumulants of infinitely divisible distributions. In view of the spectral representations corresponding to the distributions referred to, with appropriate modifications to standard arguments, it follows that the cumulants of these ...
Gupta, Arjun K.   +3 more
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On discretizations of cumulative distribution functions

Mathematische Nachrichten, 2011
AbstractStochastic processes in discrete time are considered which develop through the successive application of independent positive multipliers and also are martingales. We construct optimal discretizations and derive properties of the Mellin‐Stieltjes transforms of the cumulative distribution functions of the multipliers.
Jensen, Gerd, Pommerenke, Christian
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Definition of reverse cumulative distribution

Vaccine, 2020
William C, Blackwelder, George F, Reed
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On Secant Approximations to Cumulative Distribution Functions

Biometrika, 1993
Summary: We investigate the properties of an approximation, called the secant approximation, to the cumulative distribution function, where the density is of a broad parametric class. Formulae for higher order terms are derived that give the approximation explicitly in terms of functions that define the density.
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Cumulative Distribution Estimators

1999
In the previous chapter we have seen different ways to generate cumulative distributions, including a method based on the kriging estimate, when the assumption of multinormality is accepted.
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Distributivity, Collectivity, and Cumulativity in Terms of (In)dependence and Maximality

Journal of Logic, Language and Information, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Computation of the Cumulative Distribution Function of the Erlang Distribution

Journal of Information and Optimization Sciences, 1992
Two algorithms are compared for evaluating the cdf of the Erlang distribution. The first algorithm gives correct results only for some values of the parameters while the second, an approximation of...
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