Questions tagged [triangular-distribution]
10 questions
12
votes
1 answer
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 trying to use the fact that I know the number of…
Frank
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9
votes
2 answers
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
$$f(x;a,b,c)=\begin{cases} \quad 0 & \text{for } x < a, \\ \frac{2(x-a)}{(b-a)(c-a)} & \text{for } a \le x \le…
Glen_b
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6
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1 answer
An example of a bivariate pdf, where marginals are triangular distributions
What could be a form of
$$f_{X,Y}(x,y)$$
where $f_X(x)$ and $f_Y(x)$ both have the form of a triangular distribution with support $(0,1)$, but with different parameters that governs location of mode?
Some discussion on it could be found in…
Sergey
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5
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1 answer
Probability density of compound triangular distribution with uniformly distributed mode?
What are the probability density function and cumulative distribution function of a compound triangular distribution with uniformly distributed mode, both supported on $(-a, a)$? I.e.,
$$
m \sim \mathrm{Unif}(-a, a) \\
X \sim \mathrm{Triang}(-a, a,…
Tim
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4
votes
2 answers
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 two triangular distributions. Specifically, it is…
mac
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3
votes
1 answer
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 distribution.
blitzstat
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2
votes
1 answer
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. I wasn't sure and just wanted to double check if…
user40678
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2
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2 answers
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?
qwertytam
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2
votes
0 answers
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 values $y$ are a simple table of values at points in…
Mike Dunlavey
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0
votes
2 answers
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, over the range $[n,N].$
A triangular…
Astrid
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