# Questions tagged [probability-or-statistics]

Questions about systematic data collection and organization, or the application of probability theory to model the inherent patterns and properties of sampled data, underlying data distribution(s) or random processes.

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### P-Values For LinearModelFit Changing Due To Ordering Of Features

The arbitrary ordering in a linear model of the independent variables should not impact the p-values for the coefficients of said model. However that is exactly what is happening here ...
1 vote
157 views

### How to randomly sample small rotations?

I need a random rotation matrix that rotates random vectors by $\approx \arccos 0.9$ RandomVariate[CircularRealMatrixDistribution[n]] gives rotation matrices that ...
1 vote
308 views

### Evaluate 3D- and 5D-constrained integrals for absolute separability probabilities

In a recent posting, TwoQubits user JimB, employing a change-of-transformations put forth by N. Tessore, was able to confirm a formula for the "two-qubit absolute separability Hilbert-Schmidt ...
449 views

### Can LearnDistribution learn conditionality?

I would like to apply LearnDistribution to multivariate conditional distributions. Here's a simple artificial example: ...
60 views

### Equivalent of MomentConvert for free moments/free cumulants? [closed]

I'm looking for Mathematica implementation of conversion between free moments and free cumulants. For instance, for traditional moments we have from ...
229 views

### Does TTest taking into account the Welch's t-test?

TTest has an option VerifyTestAssumptions for "EqualVariance", does it automatically switch to Welch's t-test when variance of the two data sample differ a lot?
103 views

### Alternative Representation for Energy Levels and Energy Level Density (II)

Following my previous question, I want a graph that must look like this (the lower image is taken from the Wikipedia page for the Microcanonocal Ensemble-->> Quantum Mechanical), The code for ...
66 views

### Estimating the shape of the distribution of histogram

Here is the data: data = {37., 76, 81, 81, 28, 29, 18, 18, 27, 44, 18, 17, 70, 87, 45, 32, 88, 20, 18, 44, 17, 51, 24, 37, 24, 21, 18, 18, 17, 44, 25, 16, 45, 31, 74, 38, 16, 35, 17, 44, 34, 27, 87, ...
363 views

### Getting formulas like $E[\operatorname{Tr}(A^3 (A^T)^3]=n^4+10n^2+4n$

Suppose $A$ is an random $n\times n$ matrix with standard normal entries. A user was able to obtain the following formula by enumerating all diagrams by hand: E[\operatorname{Tr}(A^3 (A^T)^3]=n^4+...
1 vote
152 views

### The best way to guess the needed data using Mathematica?

I have a question, which is not entirely related to Mathematica, and would appreciate any help on this matter. I have the following dataset, which shows the growth of a bacterium in a specific medium: ...
69 views

### Joint Moments of Stochastic Process at Different Times

Suppose I have a random process defined in Mathematica, e.g. h = TelegraphProcess[a] I know you can use Mathematica to calculate different statistics like the mean,...
233 views

### How do you create the Commonest function

How does the Commonest function work? How can I implement that functionality without using that command?
1 vote
146 views

### How to do BayesianMinimization in 2D?

Studying a new experimental BayesianMinimization command in 14.0 and following an example from the documentation ...