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Joint Distribution





THE DISCRETE CASE


For Discrete Random Variable s, the Joint Probability mass function can be written as Pr(''X'' = ''x'' & ''Y'' = ''y''). This is

  :<math>f {X,Y}(x,y) f_{YX}(yx)f_X(x) = f_{XY}(xy)f_Y(y) \</math>
  Where ''f''<sub>''Y''''X''</sub>(''y''''x'') And ''f''<sub>''X''''Y''</sub>(''x''''y'') Give The "http://wwwinformationdelightinfo/encyclopedia/entry/conditional_distribution" class="copylinks">Conditional Distribution s of ''Y'' given ''X''&nbsp=&nbsp''x'' and of ''X'' given ''Y''&nbsp=&nbsp''y'' respectively, and ''f''<sub>''X''</sub>(''x'') and ''f''<sub>''Y''</sub>(''y'') give the Marginal Distribution s for ''X'' and ''Y'' respectively