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parameters sigma0,u1,u2,sigma,u,p,fp_fmax;
parameterdomain=(0,1);
sharedmodel;
constant kc=20,gama=0.0712;
conststr pusai0=sigma0^2/pi*(arcsin(u1)+arcsin(u2));
conststr beita=2*pi*sigma0^2*1^2*(arcsin(u1)+arcsin(u2)-0.5*sin(2*arcsin(u1))-0.5*sin(2*arcsin(u2)))-4*pi*sigma0^2*1*(sqrt(1-u2^2)-sqrt(1-u1^2))^2/(arcsin(u1)+arcsin(u2));
conststr a=(2*pi*fp_fmax-(2*sigma0^2*1*(sqrt(1-u2^2)-sqrt(1-u1^2)))/pusai0)/sqrt(2*beita);
variable r,N_fmax,cdf;
function N_fmax=r*sqrt(2*beita)/pi^(3/2)/pusai0/1*
int((sqrt(1+gama/beita*(r*sigma/y)^2))/y/sqrt(2*pi)/sigma/y*exp(-1*(ln(y)-u)^2/2/sigma^2)*exp(-1*(p^2+r^2/y^2)/2/pusai0)*int(cosh(r*p*cos(sita)/y/pusai0)*(exp(-1*(a*p*sin(sita)/(sqrt(1+gama/beita*(r*sigma/y)^2)))^2)+sqrt(pi)*a*p*sin(sita)/(sqrt(1+gama/beita*(r*sigma/y)^2))*erf(a*p*sin(sita)/(sqrt(1+gama/beita*(r*sigma/y)^2)))),sita=0,pi/2),y=0,20);
cdf=int(int(x*exp(-1*(x^2+(p/sqrt(pusai0))^2)/2)*bessi0(p/sqrt(pusai0)*x),x=r/y/sqrt(pusai0),1000)*exp(-1*(ln(y)-u)^2/2/sigma^2)/sqrt(2*pi)/sigma/y,y=0,1000);
data;
0.0316    0.0700     0.9976
0.0355    0.0800     0.9947
0.0398    0.0920     0.9913
0.0447    0.1062     0.9873
0.0501    0.1207     0.9825
0.0562    0.1354     0.9768
0.0631    0.1580     0.9699
0.0708    0.1800     0.9615
0.0794    0.2000     0.9513
0.0891    0.2300     0.9389
0.1000    0.2450     0.9237
0.1122    0.2700     0.9052
0.1259    0.2920     0.8827
0.1413    0.3100     0.8555
0.1585    0.3278     0.8227
0.1778    0.3300     0.7835
0.1995    0.3240     0.7373
0.2239    0.3230     0.6835
0.2512    0.3130     0.6220
0.2818    0.2860     0.5551
0.3162    0.2500     0.4821
0.3548    0.2210     0.4050
0.3981    0.1920     0.3267
0.4467    0.1530     0.2512
0.5012    0.1140     0.1822
0.5623    0.0800     0.1233
0.6310    0.0600     0.0769
0.7079    0.0400     0.0436
0.7943    0.0230     0.0220
0.8913    0.0115     0.0097
1.0000    0.0040     0.0039
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