1.What is Maximum Likelihood? 极大似然是一种找到最可能解释一组观测数据的函数的方法. Maximum Likelihood is a way to find the most likely function to explain a set of observed data. 在基本统计学中,通常给你一个模型来计算概率.例如,你可能被要求找出X大于2的概率,给定如下泊松分布:X ~ Poisson (2.4).在这个例子中,已经给定了你泊松分布的参数 λ(2.4),…
Imagination is an outcome of what you learned. If you can imagine the world, that means you have learned what the world is about. Actually we don't know how we see, at lease it's really hard to know, so we can't program to tell a machine to see. One…
maximum estimator method more known as MLE of a uniform distribution [0,θ] 区间上的均匀分布为例,独立同分布地采样样本 x1,x2,-,xn,我们知均匀分布的期望为:θ2. 首先我们来看,如何通过最大似然估计的形式估计均匀分布的期望.均匀分布的概率密度函数为:f(x|θ)=1θ,0≤x≤θ.不失一般性地,将 x1,x2,-,xn 排序为顺序统计量:x(1)≤x(2)≤⋯≤x(n).则根据似然函数定义,在此样本集合上的似然函…