Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...
If a new pathogen causes a large epidemic, then it might “burn out” before causing a second epidemic. The burnout probability can be estimated from large numbers of computationally intensive ...
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Operational Laws: Little's Law, response-time law, asymptotic bounds, modification analysis, performance metrics. Markov Chain Theory: both discrete-time and continuous-time, renewal theory, ...
The binomial distribution is a key concept in probability that models situations where you repeat the same experiment several times, and each time there are only two possible outcomes—success or ...
Predicting how complex stochastic systems respond to small external perturbations is central in physics, climate science, and engineering. We combine the generalized fluctuation–dissipation theorem ...
The Extreme Ultraviolet Imaging Spectrometer (EIS) on the Hinode spacecraft has substantially advanced our understanding of the Sun’s upper atmosphere. Unfortunately, after being in operation since ...
Abstract: In this paper, we use the cumulative distribution of a random variable to define its information content and thereby develop an alternative measure of uncertainty that extends Shannon ...
When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...
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