Fx₁,x₂ (x₁, x₂) = P[{X₁ ≤ x₁}^{X₂ ≤ x₂}]

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please explain thoroughly and also explain the notation

Joint Cumulative Distribution Function of (X₁, X₂)
Fx₁,x₂ (x₁, x₂) = P[{X₁ ≤ x₁} N {X₂ ≤ x2}]
so that
P[a₁ < X₁ ≤ b₁, a₂ < X₂ ≤ b₂]
= Fx₁.x₂ (b₁,b₂) - Fx₁.x₂ (a}, b₂) — Fx₁,x₂ (b₁, A₂) + Fx₁.x₂ (α₁, α₂)
Transcribed Image Text:Joint Cumulative Distribution Function of (X₁, X₂) Fx₁,x₂ (x₁, x₂) = P[{X₁ ≤ x₁} N {X₂ ≤ x2}] so that P[a₁ < X₁ ≤ b₁, a₂ < X₂ ≤ b₂] = Fx₁.x₂ (b₁,b₂) - Fx₁.x₂ (a}, b₂) — Fx₁,x₂ (b₁, A₂) + Fx₁.x₂ (α₁, α₂)
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