# Tagged Questions

For questions about distributions built-in in Mathematica, and functions that operate on them. Also includes questions about defining your own distributions.

169 views

### Von Neumann's method to generate points uniformly distributed on a region of a n-sphere surface

I am trying to generate points uniformly distributed on a region of a single n-sphere surface (all angles in hyperspheric coordinates are between 0 and Pi/2). I decided to use von Neumann's method ...
161 views

### Time inhomogeneous Markov Chain in Mathematica

I would like to create a discrete 2-state Markov process, where the switching probabilities in the transition matrix vary with time. I can currently do the following, which creates a process with ...
67 views

### Using Inner to calculate a log likelihood

I am trying to use the function Inner to calculate the sum of log likelihoods of a custom probability distribution 'custom' applied to a vector of data 'vData'. The custom distribution changes ...
356 views

### Calculate PDF and CDF of a product of independent exponentially distributed random variables

Let x[1], x[2], ..., x[n] be independent random variables each of which is distributed exponentially, i.e. with the PDF ...
105 views

### Sketch Probability density function [closed]

My question is : Suppose that the PDF of a random variable X is as follows: \begin{equation*} f(x) = \begin{cases} ce^{-2x} & \text {$x > 0$}\\ 0 & \text {otherwise}\\ ...
136 views

### Custom distribution [closed]

I am trying to define a custom distribution using the code below. Unfortunately, it did not produce a satisfactory result ...
113 views

### Mean Preserving PDF Spreading

I have a histogram representing the PDF (probability density function) of an unknown discrete RV. The histogram is asymmetrical. Is there a known way in Mathematica to increase/decrease the variance ...
250 views

### When analytical and numerical methods do not agree - Case study with Maximum Likelihoods methods

Here is the probability distribution I am interested in: $$P(q)=C e^{4 n s q} q^{4 n \nu - 1} (1 - q)^{4 n \mu - 1}$$ , where $e$ is the constant of Euler and $C$ is constant so that the whole thing ...
109 views

### RandomVariate from Dirichlet into Multinomial Not Summing to 1

I have a draw from a Dirichlet distribution that I would like to use as input into a MultinomialDistribution. For instance: ...
105 views

### Plot 2 student T distributions with different center values

Plot 2 student T distributions with different center values µ, but same DOF. The center values,µ has to be 45 and 48, DOF shall be 9.
318 views

### How to plot an implicit value funtion

Previous question has been solved (Gap in a continuous plot). Here is a new related question. ...
120 views

### Interpretation of CopulaDistribution [closed]

I was just wondering, when I call the CopulaDistribution function in Mathematica, am I calling its cumulative function or its density function? I have looked up ...
85 views

### Random Variate from a transformed Distribution

I would like to simulate random variates from a transformed distribution of a joint distribution and a constant. i.e. ...
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### Joint Distribution with a Constant

I would like to simulate from a joint distribution multiplied by a constant. e.g. 3*NormalDistribution[0,1]*NormalDistribution[1,1] I tried using something like ProductDistribution but that doesn't ...
79 views

### Product Distribution with Copula

I am trying to create a joint probability function that is of the form: f(a,b,c)=f1(a).f2(b).f3(c).copula where ...
67 views

### eigenvalues distribution

How does one plot eigenvalues distribution of a large matrix? I want to plot the distribution to show that the set of eigenvalues of the matrix of current interest is symmetric with respect to the ...
303 views

### Sampling a phase space uniformly for a given energy?

The energy for a 1D harmonic oscillator can be written: $$E = \frac{1}{2 m} p^2 + \frac{m \omega^2}{2} x^2$$ where x is position and p is the momentum. I would like to sample phase space $(x,p)$ ...
349 views

### multivariate lognormal distribution in mathematica

Is the LogMultinormalDistribution function really the multivariate lognormal distribution? Because I get different results with the same parameters in ...
130 views

### Copula - Correlation or Covariance

Can someone explain to me why the CopulaDistribution function with a "Multinormal" kernal asks for the covariance matrix instead of the correlation matrix. Just by looking at the formula for copula, ...
111 views

### Creating a Distribution

Say I want to create a multivariate distribution that perhaps, as an example, looks something like this. ...
113 views

227 views

### Manahalobis distance between two vectors

I want to calculate the Mahalanobis distance between two vectors that represent two points. For example: ...
238 views

### On plotting the Weibull distribution

First: How can I plot the Weibull distribution with parameters a = 2 and b = 3.5 on the range of ...
166 views

### Structure of KernelMixtureDistribution and SmoothKernelDistribution

I would like to know more about the structure behind the KernelMixtureDistribution and SmoothKernelDistribution in Mathematica. ...
249 views

### Estimating Confidence Interval Variance covariance matrix from weibull distribution

In The following Example 50 obs . I estimated distribution parameters (by point) but *i want to estimate parameters by confidence interval and calculate covariance matrix i need help * ...
316 views

### Choosing The Best Fitted Probability Distribution Model

The following Example 20 Obs and i used Goodness of fit test with Exponential distribution, another time with Weibull distribution and third time with Pareto distribution .All of them are significant ...