In this paper, we propose a fusion-based haze removal method based on the joint cumulative distribution function (JCDF) that treats faraway haze and nearby haze separately. The output images after the JCDF module, fused in the gradient domain to produce a haze-free image. The proposed method...
5.2.1 Joint Probability Density Function 5.2.2 Joint Cumulative Distribution Function 5.2.3 Conditioning and Independence 5.2.4 Functions of Two Continuous Random Variables 5.2.5 Solved Problems 5.3 More Topics 5.4 Problems 6 Multiple Random Variables 7 Limit Theorems and Convergence of Random Vari...
Cumulative distribution functionImprecise random variableWe first introduce the Dempster–Shafer belief structure and highlight its role in the representation of information about a random variable for which our knowledge of the probabilities is interval-valued. We investigate the formation of the ...
Thejoint cumulative distribution functionof two random variablesXXandYYis defined as FXY(x,y)=P(X≤x,Y≤y).FXY(x,y)=P(X≤x,Y≤y). FXY(x,y)FXY(x,y) 0≤FXY(x,y)≤10≤FXY(x,y)≤1 Figure 5.2:FXY(x,y)FXY(x,y)is the probability that(X,Y)(X,Y)belongs to the shaded re...
In order to compute the joint cumulative distribution function, all we need to do is to shade all the probabilities to the left of (included) and above (included). Then, the value of is equal to the sum of the probabilities in the shaded area. ...
This work presents a closed formula to compute any muitivariate factorized expected value from the knowledge of the joint cumulative distribution function (cdf) of any random variable. Additionally, a new nonparametric estimator alternative to the sample average is presented for the univariate case.doi...
类似地, 的分布由其联合累积分布函数(joint cumulative distribution function) F 指定,定义为 F(x1,⋯,xn)=P({X1≤x1}∩⋯∩{Xn≤xn})=P(X1≤x1,⋯,Xn≤xn) 如果我们知道 F,那么原则上我们就可以推导出涉及 Xi 的任何概率。请注意右侧的缩写。今后我们将在整个注释中使用这种缩写。 与一维情况类似...
分布函数(distribution function)与 CDF(cumulative distribution function) 是一个概念。 CDF 完成的映射是,R→[0,1]: FX(x)=P(X≤x) 注意一些数学记号(P,p)的写法: F(x)=FX(x)=P(X≤x)=∑xi≤xP(X=xi)=∑xi≤xp(xi) 3. cdf 右连续性的理解 ...
分布函数(distribution function)与 CDF(cumulative distribution function) 是一个概念。 CDF 完成的映射是,R→[0,1]: FX(x)=P(X≤x) 注意一些数学记号(P,p)的写法: F(x)=FX(x)=P(X≤x)=∑xi≤xP(X=xi)=∑xi≤xp(xi) 3. cdf 右连续性的理解 ...
The joint cumulative distribution function, the conditional cumulative distribution function, and the associated return periods can be readily obtained based on the bivariate normal distribution. The method is tested and validated using two rainfall data sets from two meteorological stations that are ...