Random Number系列:Discrete Uniform random variable

本文介绍了如何通过离散均匀分布模拟随机变量,并基于此模拟排列。文中详细解释了离散均匀随机变量的定义及其模拟方法。

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只要知道了离散随机变量的分布函数,既可以按照上次所说的方法进行模拟

但有些特殊分布的离散随机变量不需要按照通用的做法去从头search递推关系,可以用通项公式表达,其中最基本的就是discrete uniform random variable

(吐槽一下uniform distribution怎么翻译的忘记了,所以就一直用英文表达了)

这种特殊的分布表达形式为:

P{X=j} = 1/n, j=1,2,...,n

如果令 X=j, if (j-1)/n<= U < j/n

可以得到 X=Int(nU)+1 ,这样就模拟出了符合discrete uniform的离散随机变量


可以以这个分布为基础,去模拟其他的分布,这在接下来会提到


可以用discrete Uniform来模拟随机产生一个permutation,其实就是一个位置一个位置模拟,但其中有些优化细节等有空贴代码来展示

ioctl: VIDIOC_ENUM_FMT Type: Video Capture Size: Discrete 1920x1080 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 1440x1080 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 1280x960 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 1280x720 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 1024x768 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 960x720 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 720x480 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 640x480 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 640x360 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 480x270 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 320x240 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) Size: Discrete 320x180 Interval: Discrete 0.033s (30.000 fps) Interval: Discrete 0.040s (25.000 fps) Interval: Discrete 0.050s (20.000 fps) Interval: Discrete 0.067s (15.000 fps) Interval: Discrete 0.100s (10.000 fps) Interval: Discrete 0.200s (5.000 fps) 根据上述参数,写出在Linux系统中使用cmake语言使用USB摄像头截取图片的代码
最新发布
03-08
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