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Riley hobson bence
· Problem 30.37
Statistics
Mathematics — Methods · bivariate-distribution-moments
Problem
For a given joint distribution, find the normalisation constant
A
A
A
, the means
μ
X
\mu_X
μ
X
and
μ
Y
\mu_Y
μ
Y
, the variances
σ
X
2
\sigma_X^2
σ
X
2
and
σ
Y
2
\sigma_Y^2
σ
Y
2
, the expectation
E
[
X
Y
]
E[XY]
E
[
X
Y
]
, and the covariance
Cov
[
X
,
Y
]
\text{Cov}[X,Y]
Cov
[
X
,
Y
]
.
Related theory
The Bivariate Normal Distribution
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