# Questions tagged [distributions]

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

842 questions
Filter by
Sorted by
Tagged with
24 views

### SmoothKernelDistribution only uses 1 core

I have a huge amount of datasets, each containing many elements, and trying to convert it to PDF using SmoothKernelDistribution. I see that applying it to 1 dataset ...
• 5,887
88 views

...
• 1,593
176 views

### Log Pearson Type III Distribution

Has anyone managed to implement the Log-Pearson type III distribution in Wolfram. To determine the parameters of the distribution over the data array using the FindDisributionParameters function? Here ...
• 21
35 views

### The "StandardGaussian" bandwidth selection method in the SmoothKernelDistribution function

I have a list of points which follow the Gaussian distribution: ...
• 71
209 views

### How to use Mathematica to find the maximum expected value of multiple normal distributions?

Is it possible to calculate the maximum expected value of $n (n\geq 2)$ independent (identical distributed) random variables that follow a normal distribution? If possible, how to find it? If it ...
• 1,593
432 views

### Plot fails to plot. What am I doing wrong?

The below code executes. If I uncomment the Plot, it runs for a while and outputs nothing, not even the Mean and Variance. ...
87 views

### How to find a fit for the following data?

Consider the following function: ...
• 5,887
1 vote
116 views

### How to quickly sample from the following distributions

Consider the following distributions: ...
• 5,887
854 views

### Create n random points on [0,1] with minimum distance

Given a positive integer n and a small positive real number s. How to create distribution for ...
• 4,315
47 views

### Log probability of compound Poisson distribution [closed]

Does anyone know how can I find the analytic and numerical log probability of compound Poisson distribution implemented in mathematica? https://reference.wolfram.com/language/ref/...
67 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, ...
• 575
1 vote
77 views

• 267
83 views

### Is there any general solution exist for $\sum_{i=1}^{N} \frac{1}{B(x+i, i)}$ function? [closed]

$\sum_{i=1}^{N} \frac{1}{B(x+i, i)} = \frac{1}{B(x+1, 1)} + \frac{1}{B(x+2, 2)} + \ldots + \frac{1}{B(x+N, N)}$ where ${N}$ is fixed value. is there any simple expression exist for x in the above ...
• 43
61 views

### Modifying horizontal axis of a PDF plot

I have a bunch of particles that I can measure their volume. PDFs of the size distribution by volume of particles, v(a), measured are reasonably well represented by lognormal distributions of the ...
• 357
81 views

### How can I calculate P-Value for a custom distribution?

I used DistributionFitTest but it works only with a defined distribution. This is the distribution that I used: ...
• 59
225 views

### Integration involving two DiracDelta with variable limit

I want to write a code to evaluate $$\int_0^{t-1}\frac{\delta(z-1)}{z}\frac{\delta(t-z-1)}{t-z}dz$$ which should gives the answer $$\frac{\delta(t-2)}{t-1}.$$ I tried to write the code ...
143 views

### SIR Parameter Estimation in Mathematica

All infected individuals go through an incubation period, which lasts on average for 4 days. During this time, individuals are not infectious, nor do they have any excess mortality risk. All infected ...
141 views

### Convert R code to Mathematica code of Poisson log-likelihood for the epidemic curve

I want to define a function that simulates the model for a given combination of parameters and calculates the Poisson log-likelihood for the epidemic curve of reported cases: ...
47 views

### Trying to use ProbabilityDistribution for custom distribution - Getting errors/warnings I don't understand

I have this custom distribution that I want to use in Mathematica, but there appears to be some sort of problem I don't understand. Also, when I compute the mean for the custom distribution via ...
• 437
41 views

### Combinations of distributions to be called with RandomVariate

I'd like to manipulate distributions that I'm going to retrieve using RandomVariate; e.g., I would like to take ...
• 153
172 views

### Unable to check own distribution

Good afternoon I need to estimate different distributions from some data. Among these distributions, it is necessary to use the Kritsky-Menkel distribution. I set a formula for the distribution ...
• 21
127 views

### Calculating Distributions that Have Dependencies

I want to calculate a distribution from a function that depends on several variables, where there is an interdependency between the variables. This works: ...
• 133
84 views

### What distribution corresponds to the asymmetric Around?

The documentation for Around, https://reference.wolfram.com/language/ref/Around.html, indicates that For linear computations, Around[x,δ] behaves like a number whose values are distributed according ...
• 210
1 vote
126 views

### What is the best (fastest and accurate) way to obtain PDF from the given dataset?

Consider some list of two coordinates, points, generated by some arbitrary function function1 (which is a pdf up to a ...
• 5,887
1 vote
187 views

### How to extract as large a number as possible by random sample? [closed]

When I extract a element from a list by random sample, I want to extract as large a number as possible (It mean it's not always extracted the max value.) For example, when I take a element by random ...
• 436
50 views

### Expression for variance of a truncated distribution as a function of the point of truncation

I am working on a project where I need to calculate variance of a truncated distribution. Suppose $X$ has some distribution and $x\in\mathbb{R}$. I am interested in $var(X|X\leq x)$. Given some ...
• 143
1 vote
131 views

### How is InverseErf related to the inverse normal distribution?

The inverse function of the standard normal cdf is f[x_] := InverseCDF[NormalDistribution[0, 1], x] I also have ...
• 259
67 views

### Mathematica unable to realize simple distributional relationship

I was trying to find the CDF for the following problem: ...
• 513
321 views

...
• 4,523
106 views

### Expansion of standard inverse normal cdf

Let $\Phi: x\rightarrow y$ be the CDF of a standard normal distribution. The range of $\Phi(x)$ is $[0,1]$ and the domain is all real numbers. I want to get a series expansion of $\Phi^{-1}(y)$ around ...
• 259
1 vote
62 views

### I am unable to improve the (MAProcess) time series model

I am a time series novice and have been learning the art/trade from examples while being governed by the NIST handbook (ch.6, sec.4). My question is regarding: How to improve the estimated time ...
• 5,351
23 views

### Creating Process Template from FindDistribution

may i ask if anybody knew where i wrong please? Im stuck in this step. I want to visualize Hidden Markov Model in which state from 2-20 is best with continuous emission, but it need starting value ...
139 views

...
• 4,523
115 views

### How to find Specific Fit of a Distribution?

I want to fit a data set: ...
• 1,335
83 views

### Why does Maximize return this unevaluated?

Maximize[{PDF[NormalDistribution[0, sigma], x], sigma > 0}, x, Reals] Just returns unevaluated (when, obviously, it should return ...
• 3,167
1 vote