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Mathematics版 - Pareto Distribution
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话题: pareto话题: 128话题: so话题: 127
进入Mathematics版参与讨论
1 (共1页)
n***l
发帖数: 9
1
Pareto Distribution has the form
P = 1 - (b/x)^a.
with mean
E = ab/(a - 1).
Let b = 1, and E = 128, then we can derive a = 128/127.
So P = 1 - (1/x)^(128/127).
I wanted to generate 10^7 numbers that follow the distribution
and so use MatLab to generate it. As with other distributions,
here P = rand(10^7, 1), and we can use the inverse function or
even the exp-log expression to do it. But to my surprise, the
average number of the obtained 10^7 numbers is just around 20,
far from the expected 128.
w**a
发帖数: 1024
2
你的10e7个number不是Pareto 分布,
先产生10e7个随机数,然后在算幂是不对吧
你可以用软件R,或者Metroplis-Hasting 算法。

【在 n***l 的大作中提到】
: Pareto Distribution has the form
: P = 1 - (b/x)^a.
: with mean
: E = ab/(a - 1).
: Let b = 1, and E = 128, then we can derive a = 128/127.
: So P = 1 - (1/x)^(128/127).
: I wanted to generate 10^7 numbers that follow the distribution
: and so use MatLab to generate it. As with other distributions,
: here P = rand(10^7, 1), and we can use the inverse function or
: even the exp-log expression to do it. But to my surprise, the

1 (共1页)
进入Mathematics版参与讨论
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话题: pareto话题: 128话题: so话题: 127