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A Short Tale of Long Tail Integration
numerical integration Fourier transform Laplace transform
2010/10/20
Integration of the form $\int_a^\infty {f(x)w(x)dx} $, where $w(x)$ is either $\sin (\omega {\kern 1pt} x)$ or $\cos (\omega {\kern 1pt} x)$, is widely encountered in many engineering and scientific ...
Mathematical analysis of long tail economy using stochastic ranking processes
Mathematical analysis long tail economy stochastic ranking processes
2010/12/17
We present a new method of estimating the distribution of sales rates of, e.g., book titles at an online bookstore, from the time evolution of ranking data found at websites of the store. The method i...