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stephanie_liu · 2020年02月16日

问一道题:NO.PZ2020010304000017

问题如下:

The return distributions for the S&P 500 and Nikkei for the next year are given as:


What is the joint distribution matrix if the two return series are unrelated?


选项:

解释:

If the two variables are unrelated, then the joint distribution is just given by the products

fX1,X2(x1,x2)=fX1(x1)fX2(x2)f_{X_1, X_2}(x_1, x_2) = f_{X_1} (x_1)f_{X_2} (x_2)

For example, the probability of seeing -10% on the S&P and -5% on the Nikkei is 25%*20% = 5%.


题都没看懂

1 个答案

orange品职答疑助手 · 2020年02月16日

同学你好,给了我们X和Y的概率分布(离散情况下),并且告诉了我们它们是独立的,然后问,联合概率分布是什么。

重点是,他们两个独立。所以有解析里的第二行公式。

因此,the probability of seeing -10% on the S&P and -5% on the Nikkei is 25%*20% = 5%.

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NO.PZ2020010304000017 问题如下 The return stributions for the S P 500 anNikkei for the next yeare given as:Whis the joint stribution matrix if the two return series are unrelate If the two variables are unrelate then the joint stribution is just given the proctsfX1,X2(x1,x2)=fX1(x1)fX2(x2)f_{X_1, X_2}(x_1, x_2) = f_{X_1} (x_1)f_{X_2} (x_2)fX1​,X2​​(x1​,x2​)=fX1​​(x1​)fX2​​(x2​)For example, the probability of seeing -10% on the S P an-5% on the Nikkei is 25%*20% = 5%. 想问 Nekki的25%是 5%+15%+5%=25% 20%=5%+10%5%

2024-03-13 22:28 1 · 回答

NO.PZ2020010304000017 问题如下 The return stributions for the S P 500 anNikkei for the next yeare given as:Whis the joint stribution matrix if the two return series are unrelate If the two variables are unrelate then the joint stribution is just given the proctsfX1,X2(x1,x2)=fX1(x1)fX2(x2)f_{X_1, X_2}(x_1, x_2) = f_{X_1} (x_1)f_{X_2} (x_2)fX1​,X2​​(x1​,x2​)=fX1​​(x1​)fX2​​(x2​)For example, the probability of seeing -10% on the S P an-5% on the Nikkei is 25%*20% = 5%. unrelate体指什么?不等同于inpennt吧?

2023-03-14 10:56 1 · 回答

NO.PZ2020010304000017 这题的答案就是把它做成答案中的矩阵吗?

2021-12-25 18:16 1 · 回答

为什么unrelate-10% on the S&P an-5% on the Nikkei?

2020-12-25 01:08 1 · 回答

unrelate相关的意思,但是不相关只能说明不是线性相关,并不能等同于inpennce吧?可以像答案这样直接相乘?

2020-02-18 16:08 1 · 回答