Commons Math学习笔记
Section 1 linear 线性代数(矩阵为主)
1) Vector 向量
2) Matrix 矩阵
3) Matrix Decomposition 矩阵分解
Section 2 analysis 数学分析(函数为主)
1) Function 函数
2) Polynomial 多项式函数
3) Interpolation 插值
4) Integration 积分
5) Solver 求解
Section 3 Probabilityand Statistics 概率和统计
1)distribution 分布
2)fraction and complex 分数和复数
3)random and statistics 随机生成和统计初步
4)cluster and regression聚类和回归
1.分布
package apache.commons.math.test;
import org.apache.commons.math3.distribution.NormalDistribution;
import org.apache.commons.math3.distribution.PoissonDistribution;
import org.apache.commons.math3.exception.MathArithmeticException;
/**
*
* @ClassName: DistributionTest
* @Description: 分布
* @author zengfh
* @date 2014年11月21日 下午3:32:15
*
*/
public class DistributionTest {
/**
* @param args
*/
public static void main(String[] args) {
// TODO Auto-generated method stub
poisson();
System.out.println(“——————————————“);
normal();
test();
}
/**
* test for example 《饮料装填量不足与超量的概率》
* 某饮料公司装瓶流程严谨,每罐饮料装填量符合平均600毫升,标准差3毫升的常态分配法则
* 。随机选取一罐,容量超过605毫升的概率?容量小于590毫升的概率 容量超过605毫升的概率 = p ( X > 605)= p ( ((X-μ)
* /σ) > ( (605 – 600) / 3) )= p ( Z > 5/3) = p( Z > 1.67) = 0.0475
* 容量小于590毫升的概率 = p (X < 590) = p ( ((X-μ) /σ) < ( (590 – 600) / 3) )= p ( Z
* < -10/3) = p( Z < -3.33) = 0.0004
*/
private static void test() {
// TODO Auto-generated method stub
NormalDistribution normal = new NormalDistribution(600, 3);
try {
System.out.println(“P(X<590) = "
+ normal.cumulativeProbability(590));
System.out.println(“P(X>605) = “
+ (1 – normal.cumulativeProbability(605)));
} catch (MathArithmeticException e) {
// TODO Auto-generated catch block
e.printStackTrace();
}
}
private static void poisson() {
// TODO Auto-generated method stub
PoissonDistribution dist = new PoissonDistribution(4.0);
try {
System.out.println(“P(X<=2) = " + dist.cumulativeProbability(2));
System.out.println(“mean value is ” + dist.getMean());
System.out.println(“P(X=1) = ” + dist.probability(1));
System.out.println(“P(X=x)=0.8 where x = “
+ dist.inverseCumulativeProbability(0.8));
} catch (MathArithmeticException e) {
// TODO Auto-generated catch block
e.printStackTrace();
}
}
private static void normal() {
// TODO Auto-generated method stub
NormalDistribution normal = new NormalDistribution(0, 1);
try {
System.out.println(“P(X<2.0) = "
+ normal.cumulativeProbability(2.0));
System.out.println(“mean value is ” + normal.getMean());
System.out.println(“standard deviation is “
+ normal.getStandardDeviation());
System.out.println(“P(X=1) = ” + normal.density(1.0));
System.out.println(“P(X
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