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Re: weibull plot on weibull scaled paper
*To*: mathgroup at smc.vnet.net
*Subject*: [mg116571] Re: weibull plot on weibull scaled paper
*From*: Bob Hanlon <hanlonr at cox.net>
*Date*: Sun, 20 Feb 2011 05:25:48 -0500 (EST)
Just label the y-axis with values of the CDF that correspond to the - Log[1 - CDF[dist, x]] values
dist = WeibullDistribution[7, 200];
LogLogPlot[-Log[1 - CDF[dist, x]], {x, 70, 300},
Frame -> True, Axes -> False,
FrameTicks -> {Automatic, {-Log[1 - #],
100 #} & /@
({1, 5, 10, 25, 50, 75, 90, 99}/100)},
PlotRange -> (-Log[1 - #] & /@ {0.005, 0.999})]
Bob Hanlon
---- Fred Schenkelberg <fms at garlic.com> wrote:
=============
Hi Bob,
Thanks for the response.
The loglog plot is similar to the classic weibull scales plotted when using ProbabilityScalePlot, yet isn't the same. For the CDF the vertical scale should go from near zero to near 100% (or 1 by some authors)
When using just,
ProbabilityScalePlot[data, "Weibull"]
from your example - the scales loo right.
And, I'm pretty sure that I can update the output to include labels, classic grid lines, etc.
The problem is that I've not been able to find a way to plot the 'straight line' representing the known distribution on the weibull probability paper scales, without having to use RandomVariate and fit a line. If that is the only way to get to the probability scaled paper, then, is it possible to plot only the fitted line or reference and not the data points?
In my case, I have the weibull parameters, and not the data.
It's one of those problems that should be easy....
any ideas?
cheers,
Fred
On Feb 19, 2011, at 5:45 AM, Bob Hanlon wrote:
The distribution is just a straight line
dist = WeibullDistribution[7, 200];
llp = LogLogPlot[-Log[1 - CDF[dist, x]], {x, 70, 300},
Frame -> True, Axes -> False]
For comparison
data = RandomVariate[dist, 300];
Show[llp, ProbabilityScalePlot[data, "Weibull"]]
Bob Hanlon
---- Frederick <fms at garlic.com> wrote:
=============
Hi, Is it possible to plot
Plot[Evaluate[CDF[WeibullDistribution[7, 200], x]], {x, 0, 300}]
using the classic weibull scaled paper, as available in
ProbabilityScalePlot?
and, without having to plot and/or show data dots....
Looking for just a smooth plot of the known distribution on the
classic weibull scaled graph
thanks,
Fred
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