得到标准正态分布的自变量,如何获得二维随机变量分布,均值是0,两个维度的协方差矩阵已知

2024-05-09 06:10

1. 得到标准正态分布的自变量,如何获得二维随机变量分布,均值是0,两个维度的协方差矩阵已知

可以用待定系数法,

首先,你已经有了一个可以生成标准正态分布的随机数产生器,就可以生成2个相互独立的标准正态分布X和Y。下面做一下变换,找符合条件的二维正态分布 (Z,W):
如图(点击可放大):

得到标准正态分布的自变量,如何获得二维随机变量分布,均值是0,两个维度的协方差矩阵已知

2. matlab求两个总体的均值向量和协方差矩阵

Matlab函数:mean
>>X=[1,2,3]
>>mean(X)=2
 
如果X是一个矩阵,则其均值是一个向量组。mean(X,1)为列向量的均值,mean(X,2)为行向量的均值。
>>X=[1 2 3
     4 5 6]
>>mean(X,1)=[2.5, 3.5, 4.5]
>>mean(X,2)=[2
             5]
 
若要求整个矩阵的均值,则为mean(mean(X))。
>>mean(mean(X))=3.5
也可使用mean2函数:
>>mean2(X)=3.5


协方差矩阵
 
A=[61.45,55.9,61.95,59,58.14,53.61,55.48,54.21,61.52,54.92];
B=[40.36,39.8,49.2,48,51.5,49.39,51.13,58.06,61,62.35];
C=[8.61,8.91,10.43,13.32,13.48,15.75,18.14,19.95,21.95,23.53];
D=[14.31,14.72,15.28,15.91,14.67,15,15.86,15.16,13.72,12.94];
E=[7.67,7.75,8.15,9.24,10.68,10.58,10.31,10,8.91,8.51];
>> q=[A',B',C',D',E'];
>> w=cov(q)
w =
   10.3710   -4.7446   -6.6023   -0.1873   -1.8881
   -4.7446   59.1503   38.7606   -3.0743    3.0982
   -6.6023   38.7606   28.6966   -2.0199    2.4166
   -0.1873   -3.0743   -2.0199    0.8474    0.3936
   -1.8881    3.0982    2.4166    0.3936    1.3412

                                                                                                                来自网络

3. matlab求两个总体的均值向量和协方差矩阵

Matlab函数:mean
  >>X=[1,2,3]
  >>mean(X)=2
  如果X是一个矩阵,则其均值是一个向量组.mean(X,1)为列向量的均值,mean(X,2)为行向量的均值.
  >>X=[1 2 3
  4 5 6]
  >>mean(X,1)=[2.5,3.5,4.5]
  >>mean(X,2)=[2
  5]
  若要求整个矩阵的均值,则为mean(mean(X)).
  >>mean(mean(X))=3.5
  也可使用mean2函数:
  >>mean2(X)=3.5
  协方差矩阵
  A=[61.45,55.9,61.95,59,58.14,53.61,55.48,54.21,61.52,54.92];
  B=[40.36,39.8,49.2,48,51.5,49.39,51.13,58.06,61,62.35];
  C=[8.61,8.91,10.43,13.32,13.48,15.75,18.14,19.95,21.95,23.53];
  D=[14.31,14.72,15.28,15.91,14.67,15,15.86,15.16,13.72,12.94];
  E=[7.67,7.75,8.15,9.24,10.68,10.58,10.31,10,8.91,8.51];
  >> q=[A',B',C',D',E'];
  >> w=cov(q)
  w =
  10.3710 -4.7446 -6.6023 -0.1873 -1.8881
  -4.7446 59.1503 38.7606 -3.0743 3.0982
  -6.6023 38.7606 28.6966 -2.0199 2.4166
  -0.1873 -3.0743 -2.0199 0.8474 0.3936
  -1.8881 3.0982 2.4166 0.3936 1.3412
  来自网络

matlab求两个总体的均值向量和协方差矩阵

4. matlab求两个总体的均值向量和协方差矩阵

Matlab函数:mean
  >>X=[1,2,3]
  >>mean(X)=2
  如果X是一个矩阵,则其均值是一个向量组.mean(X,1)为列向量的均值,mean(X,2)为行向量的均值.
  >>X=[1 2 3
  4 5 6]
  >>mean(X,1)=[2.5,3.5,4.5]
  >>mean(X,2)=[2
  5]
  若要求整个矩阵的均值,则为mean(mean(X)).
  >>mean(mean(X))=3.5
  也可使用mean2函数:
  >>mean2(X)=3.5
  协方差矩阵
  A=[61.45,55.9,61.95,59,58.14,53.61,55.48,54.21,61.52,54.92];
  B=[40.36,39.8,49.2,48,51.5,49.39,51.13,58.06,61,62.35];
  C=[8.61,8.91,10.43,13.32,13.48,15.75,18.14,19.95,21.95,23.53];
  D=[14.31,14.72,15.28,15.91,14.67,15,15.86,15.16,13.72,12.94];
  E=[7.67,7.75,8.15,9.24,10.68,10.58,10.31,10,8.91,8.51];
  >> q=[A',B',C',D',E'];
  >> w=cov(q)
  w =
  10.3710 -4.7446 -6.6023 -0.1873 -1.8881
  -4.7446 59.1503 38.7606 -3.0743 3.0982
  -6.6023 38.7606 28.6966 -2.0199 2.4166
  -0.1873 -3.0743 -2.0199 0.8474 0.3936
  -1.8881 3.0982 2.4166 0.3936 1.3412
  来自网络

5. matlab中已知均数和方差 怎么画正态分布函数图

已知平均数为5,方差为2
x = sqrt(2)*randn(1,1000)+5;

hist(x,100);

如果想画平滑的曲线就用下面的代码:
已知平均数为0,方差为1
x=linspace(-5,5,501)';
y1=normpdf(x,0,1);

matlab中已知均数和方差 怎么画正态分布函数图

6. 已知一个矩阵,怎么用matlab软件求它的协方差矩阵,最好能举例说明