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answered Error in ARIMAProcess example
Jun
10
awarded  statistics
Jun
8
comment Coefficient of determination (R squared) of EstimatedDistribution
It fits quite poorly in the tails of the distribution. Most of the tests available to DistributionFitTest are particularly sensitive to departures in the tail which would explain the small p-values. It also appears that you have a lot of data so it isn't surprising that you would get near zero p-values with a departure that is visible to the eye like this.
Jun
8
comment Coefficient of determination (R squared) of EstimatedDistribution
@0x4A4D actually, in this case, a p-value near zero indicates a poor fit. There are many reasons why that may be the case but it is impossible to speculate without seeing the original data.I find it is generally better to use a QuantilePlot rather than visually compare PDFs.
Jun
3
awarded  Popular Question
May
30
revised List of compilable functions
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May
27
awarded  Popular Question
May
23
awarded  Enlightened
May
23
comment 3D visualization of 4D object data
It would be helpful to have access to the data. If you can't give the actual data maybe you could give some code to generate representative data.
May
22
comment CorrelationTest small bug?
@whuber in this particular case that is essentially true. However, that is only because we happen to have set the null value to zero for CorrelationTest.
May
22
awarded  Nice Answer
May
22
comment CorrelationTest small bug?
Yes, it is the same for PearsonCorrelationTest. Again, you can check the properties and relations section to confirm.
May
22
comment The default bandwidth of the SmoothKernelDistribution function
@J.M. not really. It seems to have been an observation from experience rather than a mathematical derivation. We should all keep in mind that bandwidth selection is much more of an art than a science and few are better smoothing "artists" than Silverman.
May
22
revised CorrelationTest small bug?
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May
22
answered CorrelationTest small bug?
May
20
comment The default bandwidth of the SmoothKernelDistribution function
@wolfies KernelMixtureDistribution is meant to be exact if MaxMixtureKernels is set to All.
May
20
comment The default bandwidth of the SmoothKernelDistribution function
@wolfies it differs by kernel function and is hard coded for each. For user defined kernels there is a fixed constant .9. It is obviously possible to derive the optimal value if the underlying distribution is known but this seemed like more work than it was worth at the time. If it is critical functionality I recommend filing a suggestion with WRI.
May
20
revised The default bandwidth of the SmoothKernelDistribution function
May
19
comment The default bandwidth of the SmoothKernelDistribution function
@J.M. The rule of thumb used comes from page 48 of Silverman's own book "Density Estimation for Statistics and Data Analysis" and is suggested as an improvement to 1.06 when considering a broader family of underlying distributions.
May
19
revised The default bandwidth of the SmoothKernelDistribution function
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