Questions tagged [triangular-distribution]

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Deriving a distribution whose pdf has the shape of a square + a triangle (a right trapezoid)

I want to the derive the PDF which looks like the sum of a triangular and uniform distribution which looks like this: To do this I have simply added the PDFs for the rectangular and triangular parts, ...
6
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1answer
221 views

An example of a bivariate pdf, where marginals are triangular distributions

What could be a form of $$f_{X,Y}(x,y)$$ where $f_X(x)$ and $f_Y(x)$ both have the form of a triangular distribution with support $(0,1)$, but with different parameters that governs location of mode? ...
1
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2answers
826 views

Defining a triangular distribution based on percentiles

If I have the 10th percentile, mode and 90% percentile for a triangular distribution, how can I find the minimum (i.e. 0th percentile) and maximum (i.e. 100th percentile) of the distribution?
2
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0answers
85 views

Convolve Gamma distribution with Triangle distribution?

I am working on the use of distributed delay applied to pharmacometric models. Specifically, the delay kernel I am interested in is the Gamma distribution, with non-integer shape. The historical ...
5
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1answer
374 views

Probability density of compound triangular distribution with uniformly distributed mode?

What are the probability density function and cumulative distribution function of a compound triangular distribution with uniformly distributed mode, both supported on $(-a, a)$? I.e., $$ m \sim \...
7
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1answer
777 views

Parameter estimates for the triangular distribution

A question was posted here (now deleted) in relation to estimating the parameters of the triangular distribution, which has density $$f(x;a,b,c)=\begin{cases} \quad 0 & \text{for } x < a, \\ ...
4
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2answers
601 views

Generating Double-Triangular-distributed random variates

Wikipedia shows how to generate Triangular-distributed random variates using a variate $U$ drawn from the uniform distribution. A "Double Triangular" distribution is a special case of a mixture of ...
3
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1answer
1k views

Normal distribution to triangular distribution

I would like to know if it is possible to convert a normal distribution into a triangular distribution. If it is, how it can be done? I know the mean and the coefficient of variation of the normal ...
2
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1answer
497 views

Triangular distribution

I am working on a dataset that ranges between 0 - 100 and typically is centered around 50 for the most part. It seems like the dataset shows a triangular distribution given its bound between 0 - 100. ...
12
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1answer
2k views

MLE for triangle distribution?

Is it possible to apply the usual MLE procedure to the triangle distribution? - I am trying but I seem to be blocked at one step or another in the math by the way the distribution is defined. I am ...