Statistics, Random Variable, Data Science, Mathematics, Statistical Learning.
probability space. Let the range of Xᵢ be Tₓᵢ. The joint PMF of Xᵢ , denoted by Fₓ₁,ₓ₂,….ₓₙ, is a function from Tₓ₁ × Tₓ₂ × . . . × Tₓₙ to [0, 1] defined as Fₓ₁,ₓ₂,….ₓₙ = P(X₁ = t₁, X₂ = t₂, . . . , Xn = tₙ); tᵢ ∈ Tₓ This is exactly like using the “and” operator to get all Variables together and