设X,Y是相互独立且服从同一分布的两个随机变量,X的概率密度为f(x)=e^-x,当x>0时;f(x)=0,当x为其他时;试求U=X+Y与V=X-Y的联合概率密度与边缘概率密度.边缘概率密度我可以求出来f(u)=ue^-u,但f(v)=(e
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![设X,Y是相互独立且服从同一分布的两个随机变量,X的概率密度为f(x)=e^-x,当x>0时;f(x)=0,当x为其他时;试求U=X+Y与V=X-Y的联合概率密度与边缘概率密度.边缘概率密度我可以求出来f(u)=ue^-u,但f(v)=(e](/uploads/image/z/3495190-22-0.jpg?t=%E8%AE%BEX%2CY%E6%98%AF%E7%9B%B8%E4%BA%92%E7%8B%AC%E7%AB%8B%E4%B8%94%E6%9C%8D%E4%BB%8E%E5%90%8C%E4%B8%80%E5%88%86%E5%B8%83%E7%9A%84%E4%B8%A4%E4%B8%AA%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%2CX%E7%9A%84%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E4%B8%BAf%28x%29%3De%5E-x%2C%E5%BD%93x%3E0%E6%97%B6%EF%BC%9Bf%28x%29%3D0%2C%E5%BD%93x%E4%B8%BA%E5%85%B6%E4%BB%96%E6%97%B6%EF%BC%9B%E8%AF%95%E6%B1%82U%3DX%2BY%E4%B8%8EV%3DX-Y%E7%9A%84%E8%81%94%E5%90%88%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E4%B8%8E%E8%BE%B9%E7%BC%98%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6.%E8%BE%B9%E7%BC%98%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E6%88%91%E5%8F%AF%E4%BB%A5%E6%B1%82%E5%87%BA%E6%9D%A5f%28u%29%3Due%5E-u%2C%E4%BD%86f%28v%29%3D%28e)
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