Questions tagged [triangular-distribution]
The triangular-distribution tag has no usage guidance.
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Why is the distribution of the sum of the values on two dice bell-shaped and symmetric if two uniform dist is triangular distribution?
Why is the distribution of the sum of the values on two dice bell-shaped and symmetric if two uniform dist. sum is triangular distribution via Irwin-hall distribution?
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Finding the conditional expectation given the joint density function
Suppose a random vector $(X, Y )$ has joint probability density function $f(x, y)=3y$ on the triangle bounded by the lines $y = 0, y = 1 − x$, and $y =1+ x.$ Compute $E(Y \mid X ≤ 1/2 ).$
I'm ...
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Is there a closed form CDF for the sum of two triangularly distributed random variables?
To calculate the PDF of the sum of two triangularly distributed random variables all I did was add them together and divided by two:
$\dfrac{f(x, a1, b1, c1) + f(x, a2, b2, c2)}{2}$
And implementing ...
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How to model this queueing process
I need help with the following problem. In my eyes, the description of it is a bit sloppy/unclear, so hopefully someone can help me figure out how the related questions can be answered satisfactorily.
...
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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, ...
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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?
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Sum of logarithms of random variables
Suppose that $X,Y,Z$ are independent random variables that follow Triangular distribution with $a=1,b=s,c=\frac{s+1}{2}$ ($s > 1$ is some constant).
What is the distribution of $$W=1-\frac{a \cdot ...
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Defining a triangular distribution based on percentiles
If I have the 10th percentile, mode and 90% percentile for a triangular distribution, how can I find the minimum (i.e. 0th percentile) and maximum (i.e. 100th percentile) of the distribution?
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Convolve Gamma distribution with Triangle distribution?
I am working on the use of distributed delay applied to pharmacometric models.
Specifically, the delay kernel I am interested in is the Gamma distribution, with non-integer shape.
The historical ...
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Probability density of compound triangular distribution with uniformly distributed mode?
What are the probability density function and cumulative distribution function of a compound triangular distribution with uniformly distributed mode, both supported on $(-a, a)$? I.e.,
$$
m \sim \...
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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, \\ ...
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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 ...
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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 ...
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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. ...
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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 ...
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