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The kappa-mu distribution and the eta-mu distribution
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2007)
Highly accurate eta-mu approximation to the sum of M independent nonidentical Hoyt variates
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2005)
The degree of polydispersity in micellar dispersions: A sum rule approach
(ELSEVIER SCIENCE BV, 2011)
Statistical properties of a two-dimensional ideal dispersion of polydisperse micelles are derived by analyzing the convergence properties of a sum rule set by mass conservation. Internal micellar degrees of freedom are ...
Sums of variables at the onset of chaos
(Springer, 2014-02-05)
We explain how specific dynamical properties give rise to the limit distribution of sums of deterministic variables at the transition to chaos via the period-doubling route. We study the sums of successive positions generated ...
Simple precise approximations to Weibull sums
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2006)
A Closed-Form Approximation for the CDF of the Sum of Independent Random Variables
(Institute of Electrical and Electronics Engineers, 2017-01)
In this letter, we use the Berry-Esseen theorem and the method of tilted distributions to derive a simple tight closed-form approximation for the tail probabilities of a sum of independent but not necessarily identically ...
Late Pleistocene South American megafaunal extinctions associated with rise of Fishtail points and human population
(Springer, 2021-12)
In the 1970s, Paul Martin proposed that big game hunters armed with fluted projectile points colonized the Americas and drove the extinction of megafauna. Around fifty years later, the central role of humans in the extinctions ...
Highly accurate closed-form approximations to the sum of alpha-mu variates and applications
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2008)
A Sharp Uniform Bound for the Distribution of Sums of Bernoulli Trials
(Cambridge Univ. Press., 2016)
In this note we establish a uniform bound for the distribution of a sum S-n = X-1 + ... + X-n of independent non-homogeneous Bernoulli trials. Specifically, we prove that sigma P-n(S-n = j) <= eta, where sigma(n) denotes ...