確率分布や寿命解析を学ぶと必ず登場する4つの関数。 ChatGPTが全体像をわかりやすく整理してくれた。 1つ理解すれば残り3つは自動的に決まる「円環構造」になっています。 λ=0.5 の指数分布を例示しています。 一般公式＋指数分布の例 ...

The PMF function that we saw before works great for inspecting discrete random variables and calculating their expected values. However, we did see that when moving towards continuous random variables ...

In [14], Sanov proved that if FN is the empirical cumulative distribution function (cdf) of a sample drawn from a population whose true cdf is F0 and Ω is a set of cdf's which satisfies certain ...