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Jointly continuous PDF ·Definition Two random variables X and Y are jointly continuous if there is a function fx.y(x,y)on R-,called the joint probability density function,such that PX≤sY≤)= fxr(x,y)dxdy x≤S,y≤tJointly continuous PDF • Definition Two random variables 𝑋 and 𝑌 are jointly continuous if there is a function 𝑓𝑋,𝑌 𝑥, 𝑦 on 𝑅 2 , called the joint probability density function, such that 𝑃 𝑋 ≤ 𝑠, 𝑌 ≤ 𝑡 = ඵ 𝑥≤𝑠,𝑦≤𝑡 𝑓𝑋,𝑌 𝑥, 𝑦 𝑑𝑥𝑑𝑦 4
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