August 2015
Intermediate to advanced
272 pages
5h 46m
Japanese
Content preview from Think Stats 第2版 ―プログラマのための統計入門
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220
14 章 統計解析手法
•
値は有限の平均と分散を有する分布に従うとする。したがって、ほとんどの
パレート分析には使えない。
•
正規分布に収束するのに必要な値の個数は、分布の歪みの程度に依存する。
指数分布から得られる値の和は、標本サイズが小さくても収束する。対数正
規分布の場合には、そうはいかない。
中心極限定理の存在は、自然界において正規分布がよく現れることを、少なくとも
部分的に説明してくれます。動物や他の生物は数多くの遺伝的／環境的な要因の影響
を受け、その影響は積み重ねられます。測定される特性は、それら小さな影響が大量
に足し合わされた総和ですから、分布は正規分布になることが多いのです。
14.5
CLT
を試す
中心極限定理がどのように働き、いつ働かないかを知るために、いくつか実験して
みましょう。最初に、指数分布を試します。
def MakeExpoSamples(beta=2.0, iters=1000):
samples = []
for n in [1, 10, 100]:
sample = [np.sum(np.random.exponential(beta, n))
for _ in range(iters)]
samples.append((n, sample))
return sam ples
MakeExpoSamples
は、指数値の和の標本を生成します（「指数値」は、「指数分布か
ら得られた値」を略したものです）。
beta
は分布のパラメータ、
iters
は生成する和
の個数です。 ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.