Questions on the statistical functions of Mathematica.

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12
votes
0answers
156 views

Behaviour of prediction bands

Let's generate some noisy data with uneven noise. ...
10
votes
0answers
595 views

Persistence length of a polymer chain

I'm trying to calculate the persistence length (Lp) of a polymer chain using Mathematica. The first and simplest method is to compare the EuclideanDistance between ...
7
votes
0answers
263 views

Sensitivity Analysis: Global Sensitivity and Screening

I have a model which accepts several input parameters and now I want to study the sensitivity to certain parameters as described in here: Cross Validated Answer and in Wikipedia. There is also a link ...
3
votes
0answers
158 views

Mathematica Complains about Non Symmetric Covariance matrix, when it's not the case

I was doing some fitting with Mathematica7 using NonlinearModelFit. It's quite long the program to do the fit and that's why I am not displaying here ... It goes ok, and I can get the fit parameters ...
2
votes
0answers
157 views

Calculate variance of random walk?

How can I symbolically calculate the variance of the following random walk in Mathematica? Given several discrete random variables such that $p(Z_i=1-2k)=p$, where $k$ is a small real number, and ...
1
vote
0answers
81 views

Simulations with MonteCarlo and Autoregressive methods

I am trying to find the best-fit trend for my data. Here I just generated it but let's say I don't know my data trend at all. ...
1
vote
0answers
64 views

Linear regression with x and y errors

I have a question about finding a linear regression weighted with x and y errors. I found the answer provided by 0x4A4D in Estimate error on slope of linear regression given data with associated ...
1
vote
0answers
173 views

Matrix algebra vs. PrincipalComponents and Varimax/Oblimin

Using matrix algebra I can calculate loadings and scores from the covariance matrix (data matrix is column centered): ...
1
vote
0answers
223 views

How to apply ANOVA test to K-Means clustering

I'm generally looking for how to apply ANOVA test to neural networks.I'm particularly interested in ANOVA tests for clustering function estimation below is the code taken from K-means clustering ...
0
votes
0answers
34 views

Changing GeometricBrownianMotionProcess function

Since the function GeometricBrownianMotionProcess is given by Mathematica I have some technical questions. If we consider the following example: ...
0
votes
0answers
83 views

Coefficient of determination (R squared) of EstimatedDistribution

I have estimated the distribution for a set of data as LogisticDistribution[3.5, 1.037]. How can I calculate and plot the coefficient of determination (R squared) ...
0
votes
0answers
51 views

Correlation of two variables

Showing the correlation of two variables using a plot I am interested to know the mathematical formulas for calculating the confidence bands plotted in figures 4 and 5 above. One more question: the ...
0
votes
0answers
98 views

build and estimate a time series process

I want to generate an EGARCH process. My problem is that I do not see how to create new processes beyond those available. The process itself is : $$\epsilon(t) = \sigma(t) \eta(t)$$ ...