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For questions about distributions built-in in Mathematica, and functions that operate on them. Also includes questions about defining your own distributions.
2
votes
Accepted
Polynomial fitting to obtain the growth rate
First, plot your data ($n$ vs $t$) on a log scale:
ListLogPlot[data]
As Roman suggests, a linear fit on log scale is the growth rate you're interested in. It doesn't look like there's any lag phase …
3
votes
Arrays, Mapping, and Convolutions
Something like this?
pts = {mc, mR1, mR2, mR3, mL1, mL2, mL3, mU, mD};
ThreeDnd[x_, y_, pt_, σ1_, σ2_] :=
PDF[BinormalDistribution[pt, {σ1, σ2}, 1/2], {x, y}];
Plot3D[
Evaluate[Sum[ThreeDnd[x, y …
7
votes
Sisyphus Random Walk
Another approach would be to formulate this as a DiscreteMarkovProcess. Since DiscreteMarkovProcess only allows a finite state space, we need to truncate at some large distance xmax. Also note that …