测量平差中的协方差传播率和误差传播率各是什么,有什么区别
时间: 2023-06-02 21:06:23 浏览: 337
协方差传播率是指误差来源之间存在相关性时,误差在传播过程中扩大的程度;误差传播率是指误差在传播过程中扩大的程度。它们的区别在于,协方差传播率考虑了误差来源之间的相关性对误差传播的影响,而误差传播率没有考虑误差来源之间的相关性。
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协方差传播率代码c++版
以下是计算协方差传播率的C代码示例:
```c
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define MAX 100
double covariance(double x[], double y[], int n);
double std_deviation(double arr[], int n);
int main()
{
double x[MAX], y[MAX];
int i, n;
printf("Enter the number of elements: ");
scanf("%d", &n);
printf("Enter %d elements for x: ", n);
for(i=0; i<n; i++)
scanf("%lf", &x[i]);
printf("Enter %d elements for y: ", n);
for(i=0; i<n; i++)
scanf("%lf", &y[i]);
double cov = covariance(x, y, n);
double std_dev_x = std_deviation(x, n);
double std_dev_y = std_deviation(y, n);
double cp = cov / (std_dev_x * std_dev_y);
printf("Covariance: %lf\n", cov);
printf("Standard deviation of x: %lf\n", std_dev_x);
printf("Standard deviation of y: %lf\n", std_dev_y);
printf("Covariance propagation rate: %lf\n", cp);
return 0;
}
double covariance(double x[], double y[], int n)
{
double sum = 0, mean_x = 0, mean_y = 0;
int i;
for(i=0; i<n; i++)
{
mean_x += x[i];
mean_y += y[i];
}
mean_x /= n;
mean_y /= n;
for(i=0; i<n; i++)
sum += (x[i] - mean_x) * (y[i] - mean_y);
return sum / (n - 1);
}
double std_deviation(double arr[], int n)
{
double sum = 0, mean = 0;
int i;
for(i=0; i<n; i++)
mean += arr[i];
mean /= n;
for(i=0; i<n; i++)
sum += pow(arr[i] - mean, 2);
return sqrt(sum / (n - 1));
}
```
该程序从用户输入中获取两个数组x和y,然后计算它们的协方差,以及每个数组的标准差。最后,它使用这些值计算协方差传播率。
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