From a6f29c929380250f54e7ea33e18afb01cd9b4f31 Mon Sep 17 00:00:00 2001 From: himawari <1156544355@qq.com> Date: Sat, 22 Jul 2023 23:20:18 +0800 Subject: [PATCH 1/2] =?UTF-8?q?=F0=9F=90=9B=20=E4=BF=AE=E6=94=B9issue?= =?UTF-8?q?=E4=B8=AD=E7=9A=84=E9=97=AE=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- advanced-math/knowledge/0-perpare/perpare.pdf | Bin 230827 -> 230695 bytes advanced-math/knowledge/0-perpare/perpare.tex | 2 +- .../function-and-limit.pdf | Bin 245769 -> 245612 bytes .../function-and-limit.tex | 2 +- .../random-variables-and-distribution.pdf | Bin 189645 -> 189517 bytes .../random-variables-and-distribution.tex | 4 ++-- ...arge-numbers-and-central-limit-theorem.pdf | Bin 111200 -> 111166 bytes ...arge-numbers-and-central-limit-theorem.tex | 2 +- 8 files changed, 5 insertions(+), 5 deletions(-) diff --git a/advanced-math/knowledge/0-perpare/perpare.pdf b/advanced-math/knowledge/0-perpare/perpare.pdf index 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b/probability-theory-and-mathematical-statistics/knowledge/2-random-variables-and-distribution/random-variables-and-distribution.tex @@ -379,7 +379,7 @@ \subsection{离散型} \hline \end{tabular} -\subsection{连续性} +\subsection{连续型} 设$X$为离散型随机变量,其分布函数、概率密度为$F_X(x)$与$f_X(x)$,随机变量$Y=g(X)$也是$X$的函数,则$Y$的分布函数或概率密度可用分布函数法得到$F_Y(y)=P\{Y\leqslant y\}=P\{g(X)\leqslant y\}=\int_{g(X)\leqslant y}f_X(x)\,\textrm{d}x$。 @@ -387,7 +387,7 @@ \subsection{连续性} 首先已知$X$的概率密度函数为$f_X(x)$,分布函数为$F_X(x)$,已知$Y=g(X)$,即$Y$对$X$的映射关系。现在要求$Y$的概率规律,即要求$Y$的概率密度$f_Y(y)$与分布函数$F_Y(y)$。 -先求分布函数$F_Y(y)=P\{Y\leqslant y\}=P\{g(X)\leqslant y\}$,然后用$y$来表示$X$,这是连续性随机变量函数分布的重点。 +先求分布函数$F_Y(y)=P\{Y\leqslant y\}=P\{g(X)\leqslant y\}$,然后用$y$来表示$X$,这是连续型随机变量函数分布的重点。 即$X$在以$y$表示的一个区间上,$X\in I_y$,所以解得$Y$分布函数$\int_{I_y}f_X(x)\,\textrm{d}x$。 diff --git a/probability-theory-and-mathematical-statistics/knowledge/4-law-of-large-numbers-and-central-limit-theorem/law-of-large-numbers-and-central-limit-theorem.pdf 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