All Questions
Tagged with marginal-distribution bivariate-distributions
7 questions
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258
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Marginal density equal to zero everywhere.
I've been working on a two part question on bivariate transformations and marginal densities but am having difficulty finding where I have made a mistake as the final answer for the marginal density ...
- 23
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votes
2
answers
457
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Using general bivariate gaussian to extract marginal PDF from given bivariate PDF
I had a homework question to find the marginal probability density functions, $p_X(x)$ and $p_Y(y)$, given a join probability density function $p_{XY}(x,y)$.
I have solved the problem by integration i....
- 145
1
vote
1
answer
33
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Marginal pdf with nonnegative random variables
Suppose that $X_1$ and $X_2$ are two nonnegative random variables that satisfy
$$P(X_1 > x_1, X_2 > x_2) = \exp \left[−\mu x_1 − \nu x_2 − \lambda \max(x_1, x_2)\right] ,\text{ for }x_1 \ge 0 \...
- 103
1
vote
1
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349
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Marginal Distributions of given CDF
I have the CDF given by :
$$F(x_1, x_2) = e^{-(-x_1-x_2)^{1/\beta}}$$
with $x_1,x_2 \leq 0$ and $\beta \geq 1 .$
I need to find the marginal distribution functions. However when I try to apply the ...
- 55
1
vote
1
answer
91
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Transforming random variables and finding new bivariate and marginal distribution
Consider the following bivariate distribution
$$
f(x,y) =
\begin{cases}
\frac{3}{28}(x^2 + xy) \quad &\text{for } 0 \leq x \leq 2 \text{ and } 0 \leq y \leq 2 \\
0 &\text{otherwise}
\end{...
- 57
2
votes
1
answer
4k
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Finding Marginal PDFs of $X$ and $Y$ from the joint pdf $f(x,y)$
I am studying for a probability exam and looking over an old question that goes as follows:
Let $f(x,y)=2e^{-x-y}, 0\le x\le y < \infty$.
From here, I understand that the marginal PDFs of $X$ and ...
- 1,037
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1
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26
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bivariate distribution with joint density Integration
i have a bivariate distribution for (X, Y) with joint density:
$$f(x,y) = \frac{\lambda y^2}{\sqrt2\pi}e^-(\frac{1}{2} + \lambda x)y^2$$ on x>0 and y belong to R
I need to show that $f_X(x) = \frac{\...
- 149