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Hashimoto, Yasuhiro
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Lecture Notes on Probability and Statistics
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Hashimoto, Yasuhiro
Edited
Mar 29, 2024
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19
Lecture Notes on Probability and Statistics
標本空間,事象,確率の初歩
確率変数
線形回帰における回帰係数の計算と式変形
線形回帰の実験
確率変数の期待値と分散の式変形いろいろ
偽陽性と偽陰性の計算(条件付き確率)
指数分布の期待値と分散
レートパラメータ
確率変数の和が従う確率分布と畳み込み
モーメント母関数
大数の法則
中心極限定理の実験
中心極限定理の実験(指数分布)
中心極限定理の実験(ベキ分布)
周辺確率
最尤法の初歩
母分散,標本分散,不偏分散
サンクトペテルブルクのパラドクス
最適停止問題
指数関数の定義
p-value ⮀ z-value calculator
Approximation accuracy of Poisson and Gaussian distributions for Binomial distribution
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h
=
histogram
(
10
,
// サンプルサイズ (n)
100000
,
// サンプル数 (m)
100
,
// ビン数b
width
,
// 幅 (pixel)
width
/
3
,
// 高さ (pixel)
[
10
,
500
]
,
// Yの表示範囲.'auto':[min,max], 'mean':[mean-5sigma/√n, mean+5sigma/√n].
{
gen_str
:
rand_power
(
[
1
,
1000
]
,
2
)
,
// Xの確率分布 (x_range, gamma)
mean
:
mean
(
[
1
,
1000
]
,
2
)
,
// Xの平均 (x_range, gamma)
variance
:
variance
(
[
1
,
1000
]
,
2
)
// Xの分散 (x_range, gamma)
}
,
1
// 正規分布曲線の表示(1で表示,0で非表示)
)
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mean
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variance
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