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A vast area which includes generating results from computer models.

3 votes
1 answer
125 views

simulate x where $\sum x = 0, \sum x^2 = a, \sum x^3 = b$

I would like to simulate a random variable $x$ with the following properties ($x_i$ being one simulation) $\sum_{i=1}^n x_i = 0$ $\sum_{i=1}^n x_i^2 = a$ $\sum_{i=1}^n x_i^3 = b$ If I am correct: …
PalimPalim's user avatar
1 vote
0 answers
64 views

simulate r.v.s $a$ & $b$ with $\mathbf{E}[ a^2b] = c$

The algorithm can be used in a simulation which matches mean, covariance and a measure of multivariate skewness aka kollo skewness. For this algorithm, you need an L matrix. …
PalimPalim's user avatar
2 votes
1 answer
2k views

Simulate skew normal with given mean, variance & skewness

In short, I would like to find the parameters of the skew normal so that given first three moments are matched. Find location, scale and shape of skew normal, so that mean = 0, variance = 1 and skewne …
PalimPalim's user avatar
1 vote
1 answer
232 views

simulate random variable and transform of random variable

I have two random variables $X, Y$. $X \sim N(0,1) \qquad\text{(normally distributed)}\\ Y = g(X) \qquad\text{(g is a function such as g(x) = 1 + x + 2x^2)}$ I would like to draw a sample of size …
PalimPalim's user avatar