Why is the marginal distribution/marginal probability described as “marginal”?Intuition behind the names...
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Why is the marginal distribution/marginal probability described as "marginal"?
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Why is the marginal distribution/marginal probability described as “marginal”?
Intuition behind the names 'partial' and 'marginal' correlationsMarginal probability function of the Dirichlet-Multinomial distributionCalculate expected value when only the marginal probability is known?Notation for Marginal DistributionMarginal probability of beta distributionGet joint distribution from pairwise marginal distributionMarginal Likelihood as probability distributionGetting marginal distributions from a bivariate probability distribution functionmarginal distribution of multivariate normalCalculating conditional probability with marginalGeometric distribution described with rate parameter
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Marginal generally refers to something that's a small effect, something that's on the outside of a bigger system. It tends to diminish the importance of whatever is described as "marginal".
So how does that apply to the probability of a subset of random variables?
Assuming that words get used because of their meaning can be a risky proposition in mathematics, so I know there isn't necessarily an answer here, but sometimes the answer to this sort of question can help you to gain genuine insight, hence why I'm asking.
probability
New contributor
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add a comment |
$begingroup$
Marginal generally refers to something that's a small effect, something that's on the outside of a bigger system. It tends to diminish the importance of whatever is described as "marginal".
So how does that apply to the probability of a subset of random variables?
Assuming that words get used because of their meaning can be a risky proposition in mathematics, so I know there isn't necessarily an answer here, but sometimes the answer to this sort of question can help you to gain genuine insight, hence why I'm asking.
probability
New contributor
$endgroup$
$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung♦
46 mins ago
add a comment |
$begingroup$
Marginal generally refers to something that's a small effect, something that's on the outside of a bigger system. It tends to diminish the importance of whatever is described as "marginal".
So how does that apply to the probability of a subset of random variables?
Assuming that words get used because of their meaning can be a risky proposition in mathematics, so I know there isn't necessarily an answer here, but sometimes the answer to this sort of question can help you to gain genuine insight, hence why I'm asking.
probability
New contributor
$endgroup$
Marginal generally refers to something that's a small effect, something that's on the outside of a bigger system. It tends to diminish the importance of whatever is described as "marginal".
So how does that apply to the probability of a subset of random variables?
Assuming that words get used because of their meaning can be a risky proposition in mathematics, so I know there isn't necessarily an answer here, but sometimes the answer to this sort of question can help you to gain genuine insight, hence why I'm asking.
probability
probability
New contributor
New contributor
New contributor
asked 1 hour ago
stephanstephan
61
61
New contributor
New contributor
$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung♦
46 mins ago
add a comment |
$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung♦
46 mins ago
$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung♦
46 mins ago
$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung♦
46 mins ago
add a comment |
1 Answer
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Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:
In this common and natural way of showing the distribution, the marginal probabilities of the outcomes from the individual dice are written literally in the margins of the table (the highlighted row/column).
Of course we can't really construct such tables for continuous random variables, but anyway I'd guess that this is the origin of the term.
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1 Answer
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1 Answer
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active
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$begingroup$
Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:
In this common and natural way of showing the distribution, the marginal probabilities of the outcomes from the individual dice are written literally in the margins of the table (the highlighted row/column).
Of course we can't really construct such tables for continuous random variables, but anyway I'd guess that this is the origin of the term.
$endgroup$
add a comment |
$begingroup$
Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:
In this common and natural way of showing the distribution, the marginal probabilities of the outcomes from the individual dice are written literally in the margins of the table (the highlighted row/column).
Of course we can't really construct such tables for continuous random variables, but anyway I'd guess that this is the origin of the term.
$endgroup$
add a comment |
$begingroup$
Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:
In this common and natural way of showing the distribution, the marginal probabilities of the outcomes from the individual dice are written literally in the margins of the table (the highlighted row/column).
Of course we can't really construct such tables for continuous random variables, but anyway I'd guess that this is the origin of the term.
$endgroup$
Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:
In this common and natural way of showing the distribution, the marginal probabilities of the outcomes from the individual dice are written literally in the margins of the table (the highlighted row/column).
Of course we can't really construct such tables for continuous random variables, but anyway I'd guess that this is the origin of the term.
answered 55 mins ago
Jake WestfallJake Westfall
8,20512872
8,20512872
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add a comment |
stephan is a new contributor. Be nice, and check out our Code of Conduct.
stephan is a new contributor. Be nice, and check out our Code of Conduct.
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Related: Intuition behind the names 'partial' and 'marginal' correlations.
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– gung♦
46 mins ago