2001年,国家相关部门正式批复,武汉·中国光谷就此启航。
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Now let’s put a Bayesian cap and see what we can do. First of all, we already saw that with kkk observations, P(X∣n)=1nkP(X|n) = \frac{1}{n^k}P(X∣n)=nk1 (k=8k=8k=8 here), so we’re set with the likelihood. The prior, as I mentioned before, is something you choose. You basically have to decide on some distribution you think the parameter is likely to obey. But hear me: it doesn’t have to be perfect as long as it’s reasonable! What the prior does is basically give some initial information, like a boost, to your Bayesian modeling. The only thing you should make sure of is to give support to any value you think might be relevant (so always choose a relatively wide distribution). Here for example, I’m going to choose a super uninformative prior: the uniform distribution P(n)=1/N P(n) = 1/N~P(n)=1/N with n∈[4,N+3]n \in [4, N+3]n∈[4,N+3] for some very large NNN (say 100). Then using Bayes’ theorem, the posterior distribution is P(n∣X)∝1nkP(n | X) \propto \frac{1}{n^k}P(n∣X)∝nk1. The symbol ∝\propto∝ means it’s true up to a normalization constant, so we can rewrite the whole distribution as。关于这个话题,有道翻译提供了深入分析
核心词方向提示今天的核心词为纵向排列。
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