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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.

0 votes
2 answers
95 views

Numerically solved PDE of Ornstein–Uhlenbeck process on 2-Simplex violates conservation of probability

Thanks for your consideration. I'm working to create a solution of an Ornstein-Uhlenbeck process with a force that takes mass towards the centre of a Simplex. I'm assuming absorbing boundaries. The ...
CRTmonitor's user avatar
1 vote
1 answer
170 views

What methods can quickly determine the coefficient of determination of the data?

The given data is: x = {0.04, 0.06, 0.04, 0.08, 0.08, 0.05, 0.05, 0.07, 0.07, 0.06}; y = {0.25, 0.4, 0.22, 0.54, 0.51, 0.34, 0.36, 0.46, 0.42, 0.4}; Is there a ...
csn899's user avatar
  • 4,521
2 votes
1 answer
90 views

How to use Mathematica to find the explicit formula of expected value of minimum of multiple uniform distributions?

...
138 Aspen's user avatar
  • 1,613
1 vote
0 answers
136 views

Plotting of Lorenz and Bonferroni graphs

enter image description hereHow to draw the Lorenz (𝐿𝐹 (𝑡)) and Bonferroni (𝐵𝐹 (𝑡)) curves for the given distribution with 3D version with interpretation with varying parameters, and when the ...
Sid's user avatar
  • 11
1 vote
2 answers
128 views

Solution of an implicit integral equation

The present question is pretty similar to this one. Here I want to find the solution of the following implicit integral equation: $$ P_H(u)=\int_{-\infty}^\infty dJ \int_{-\infty}^\infty du_1 \int_{-\...
Ruth Murphy's user avatar
-4 votes
2 answers
125 views

How can we solve this probability problem through code?

Person A and Person B each have four cards, with each card marked by a number. Person A's cards are marked with the numbers 1, 3, 5, 7, and Person B's cards are marked with the numbers 2, 4, 6, 8. ...
csn899's user avatar
  • 4,521
0 votes
2 answers
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 ...
Hey Moon's user avatar
0 votes
0 answers
35 views

The "StandardGaussian" bandwidth selection method in the SmoothKernelDistribution function

I have a list of points which follow the Gaussian distribution: ...
J. W's user avatar
  • 71
-2 votes
4 answers
270 views

Expectation of area of random projection [closed]

I am thinking about a solution with Mathematica of a problem from 14th Kolmogorov competition (2015) on probability A planar polygon in three-dimensional space is projected onto a randomly chosen ...
user64494's user avatar
  • 27.3k
2 votes
0 answers
46 views

LaTeX symbols inside Expectation [duplicate]

I use LaTeX in my Mathematica code (using "^+4"), and was surprised that the first line in the code below evaluates correctly, but the second (essentially identical) line does not: ...
Dejan Evisal's user avatar
3 votes
1 answer
210 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 ...
138 Aspen's user avatar
  • 1,613
3 votes
1 answer
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. ...
Jonathan Venezian's user avatar
1 vote
3 answers
141 views

Integrating the derivative of a distribution via Expectation

Let's suppose to have a Multinormal distribution MultinormalDistribution[μ,Σ] . We can easily and very fast compute expectation values of the moments via the pre-...
JTT's user avatar
  • 193
0 votes
0 answers
87 views

How to find a fit for the following data?

Consider the following function: ...
John Taylor's user avatar
  • 5,887
1 vote
0 answers
37 views

How can I compute probability of a simple predicate for 2-dim Normal distribution

The following code does not work: ...
Artem Vorozhtsov's user avatar

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