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Poisson-PDNN: Modeling non-uniform read distribution in RNA-seq data
Poisson-PDNN Modeling non-uniform distribution in RNA-seq data
2016/1/25
RNA-Seq is a powerful new technology to comprehensively analyze the transcriptome of any given cells. An important task in RNA-Seq data analysis is quantifying the expression levels of all transcripts...
Closed-form cdf and pdf of Tukey's h-distribution, the heavy-tail Lambert W approach, and how to bijectively "Gaussianize" heavy-tailed data
family of heavy-tailed distributions Tukey g-h distribution Lambert W
2010/10/19
Recently Goerg (2010) introduced Lambert W - F random variables (RVs), a new family of generalized skewed distributions. Here I will adapt this appealing framework to generate heavy (heavier) tailed ...
Degree distribution nearby the origin of a preferential attachment graph
preferential attachment graph Degree distribution
2009/3/30
In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law w...
Distribution of the Brownian motion on its way to hitting zero
Brownian motion probability density
2009/3/23
For the one-dimensional Brownian motion $B=(Bt)t≥ 0$, started at $x>0$, and the first hitting time $τ=inf{t≥ 0:Bt=0}$, we find the probability density of $Buτ$ for a $uin(0,1)$, i.e. of the Brownian ...