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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$begingroup$


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.










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  • $begingroup$
    Related: Intuition behind the names 'partial' and 'marginal' correlations.
    $endgroup$
    – gung
    46 mins ago


















1












$begingroup$


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.










share|cite|improve this question







New contributor



stephan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$












  • $begingroup$
    Related: Intuition behind the names 'partial' and 'marginal' correlations.
    $endgroup$
    – gung
    46 mins ago














1












1








1





$begingroup$


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.










share|cite|improve this question







New contributor



stephan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$




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






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stephan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.










share|cite|improve this question







New contributor



stephan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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share|cite|improve this question






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asked 1 hour ago









stephanstephan

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  • $begingroup$
    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




$begingroup$
Related: Intuition behind the names 'partial' and 'marginal' correlations.
$endgroup$
– gung
46 mins ago










1 Answer
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$begingroup$

Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:



two die rolls



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
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    4












    $begingroup$

    Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:



    two die rolls



    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.






    share|cite|improve this answer









    $endgroup$


















      4












      $begingroup$

      Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:



      two die rolls



      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.






      share|cite|improve this answer









      $endgroup$
















        4












        4








        4





        $begingroup$

        Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:



        two die rolls



        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.






        share|cite|improve this answer









        $endgroup$



        Consider the table below (copied from this website) representing joint probabilities of outcomes from rolling two dice:



        two die rolls



        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.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 55 mins ago









        Jake WestfallJake Westfall

        8,20512872




        8,20512872






















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