# Tagged Questions

Questions on the statistical functions of Mathematica.

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### Calculate the expectation of psi(x) with a gamma density x∼Gamma(α,β ) [migrated]

Suppose I have a Gamma distributed random Variable x∼Gamma(α,β). Now I want to calculate the following expectation values (integrals): E[psi(x)] with psi(x) being the digamma function Many thanks ...
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I have data ...
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### Manipulating the output of EllipsoidQuantile

I am trying to manipulate the output of EllipsoidQuantile to find the area in the next line. I can easily find the 95% confidence interval and this generates an ...
3k views

### Standard errors for maximum likelihood estimates in FindDistributionParameters

I am trying to fit a non-standard PDF to data and FindDistributionParameters works great, and gives me the parameters of the distribution back using maximum ...
791 views

### Which Distributions can be Compiled using RandomVariate

Recently, Oleksandr kindly showed a list of Mathematica commands that can be compiled. RandomVariate was part of that list. However, whether this can be compiled depends upon the distribution that is ...
526 views

### How to fit one distribution to another?

I have a custom distribution created to model some experimental observations. While too complicated to include in this question, I can provide an example and some illustrations to convey a sense of ...
274 views

### How to find max difference with the same x between two functions?

For example, I have function TF[y_] = 2 / Pi * ArcSin[y] And I have CDF: ...
81 views

### ANOVA test on dataset

I have a dataset with 3 groups and two variables. I want to do ANOVA test on the three groups for each variable. Does anyone know how to do this? ...
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### How to find the mode when none of the terms repeat? [migrated]

What is the mode of a series / distribution of values when none of the values of the distribution are repeated , for example : What is the mode of 1 , 3 , 45, 67 , 89 , 100
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### Marginal distribution with weight

Given a multi-variate distribution $P(\mathbf{x},\mathbf{y})$, I would like to obtain the marginal distribution $$P_m(\mathbf{x})=\sum\int_{\mathbf{y}}P(\mathbf{x},\mathbf{y})W(\mathbf{y})$$ In my ...
283 views

### How to plot frequency polygon?

I have data sample. Built and plotted histogram based on the sample. How can I plot frequency polygon now? That's example of the desired result. Here is code: ...
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### Truncated Distribution Parameter Search Produces Singular Jacobian Using FindRoot [closed]

I'm trying to find the 2 parameters of a truncated Weibull distribution using version 10 and FindRoot. I would like to truncate the distribution between t =0 and t = 3600 with the probability of ...
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### Attributes of statistics functions

Do statistics functions have some kind of attribute which ignore non-number (Indeterminate, ComplexInfinity, calculation "errors") elements of a list?
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### Cannot use the MultinormalDistribution code

I am trying to use the MultinormalDistribution code with the Quantile function to get the 0.01 quartile of the multinormal ...
52 views

### LogitModelFit bias term when using design matrix

I'm using the LogitModelFit function with a 32-columns design matrix and 0 or 1 output vector: LogitModelFit[{datax, datay}]. ...
89 views

### How to add points on the empirical distribution function on the leftside of the pieces (steps)?

Faced the problem. Here is code: ...
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### How do I create a histogram of the binomial distribution for, say, p=.5 after 10 trials?

I apologize if this is question is too simple, if so it's because I'm a beginner. Anyway, it was easy enough to create a list plot, but I couldn't find out how to create an output that displays the ...
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### BoxWhiskerChart Vertical Line

I have made a box plot to show the spread of past paper results for my A2 exams so I can easily see which subject need more work! ...
262 views

### How to remove outliers from data

I have a data with noise which some times includes significant outliers. The position of the outliers are random. For example: ...
46 views

### Binomial Regression where n > 1

I am not well versed in Generalized Linear Models, but am trying to use this approach to model some discrete data. I have binomial data where the sample size for each observation is the same size, ...
17 views

### Derived distribution

I'm trying to solve a parametric DE in the unknown z(t,r), where the distribution of r is known, and obtain the derived ...
53 views

### Interpreting P-Value on ParameterTable

When using LinearModelFit[] we can generate a table of parameter values and statistics for the corresponding model using the property "ParameterTable". Looking in the documentation I can't find an ...
164 views

### How to draw confidence ellipse from a covariance matrix?

I am studying a two-dimensional dataset, whose mean vector and covariance matrix are the following: ...
I have a list of $\{x_i,y_i\}$ pairs and I want to show that $x_i$'s and $y_i$'s have positive correlation. The result of ...