/*-------------------------------------------------------------------------------*/ function SetWDistribution (resp) { if (rateType == 0) { global P = .5; P:<1; global W = 0.1; W :< 1; categFreqMatrix = {{P,1-P}}; categRateMatrix = {{W,1}}; category c = (2, categFreqMatrix , MEAN, ,categRateMatrix, 0, 1e25); } else { if (rateType == 1) { global P1 = 1/3; global P2 = 1/2; P1:<1; P2:<1; global W_1 = 0.1; W_1 :< 1; global W_2 = 5; W_2 :> 1; categFreqMatrix = {{P1,(1-P1)*P2, (1-P1)*(1-P2)}} ; categRateMatrix = {{W_1,1,W_2}}; category c = (3, categFreqMatrix , MEAN, ,categRateMatrix, 0, 1e25); } else { if (rateType == 2) { global P1 = 1/3; global P2 = .5; P1:<1; P2:<1; global W1 = .25; global R_1 = .5; global R_2 = 5; R_1:<1; R_2:>1; categFreqMatrix = {{P1,(1-P1)*P2, (1-P1)*(1-P2)}} ; categRateMatrix = {{W1*R_1,W1,W1*R_2}}; category c = (3, categFreqMatrix , MEAN, ,categRateMatrix, 0, 1e25); } else { if (rateType == 3) { global P1 = 1/5; global P2 = 1/4; global P3 = 1/3; global P4 = 1/2; P1:<1; P2:<1; P3:<1; P4:<1; categFreqMatrix = {{P1, (1-P1)P2, (1-P1)(1-P2)*P3, (1-P1)(1-P2)(1-P3)P4, (1-P1)(1-P2)(1-P3)(1-P4)}} ; categRateMatrix = {{0,1/3,2/3,1,3}}; category c = (5, categFreqMatrix , MEAN, ,categRateMatrix, 0, 1e25); } else { if (rateType == 4) { global alpha = .5; global beta = 1; alpha:>0.01;alpha:<100; beta:>0.01; beta:<200; category c = (resp, EQUAL, MEAN, GammaDist(_x_,alpha,beta), CGammaDist(_x_,alpha,beta), 0 , 1e25,CGammaDist(_x_,alpha+1,beta)*alpha/beta); } else { if (rateType == 5) { global alpha = .5; global beta = 1; global alpha2= .75; global P = .5; alpha:>0.01;alpha:<100; beta:>0.01; beta:<200; P:<1; alpha2:>0.01;alpha2:<100; category c = (resp, EQUAL, MEAN, P*GammaDist(_x_,alpha,beta) + (1-P)*GammaDist(_x_,alpha2,alpha2) , P*CGammaDist(_x_,alpha,beta) + (1-P)*CGammaDist(_x_,alpha2,alpha2), 0 , 1e25, P*CGammaDist(_x_,alpha+1,beta)*alpha/beta + (1-P)*CGammaDist(_x_,alpha2+1,alpha2)); } else { if (rateType == 6) { global betaP = 1; global betaQ = 1; betaP:>0.05;betaP:<85; betaQ:>0.05;betaQ:<85; category c = (resp, EQUAL, MEAN, _x_^(betaP-1)*(1-_x_)^(betaQ-1)/Beta(betaP,betaQ), IBeta(_x_,betaP,betaQ), 0 , 1,IBeta(_x_,betaP+1,betaQ)*betaP/(betaP+betaQ)); } else { if (rateType == 7 || rateType == 14) { global W = 2; W:>1; global P = 1-1/(resp+1); global betaP = 1; global betaQ = 2; betaP:>0.05; betaQ:>0.05; betaP:<85; betaQ:<85; P:>0.0000001; P:<0.9999999; categFreqMatrix = {resp+1,1}; for (k=0; k=W), 0,1, P*IBeta(Min(_x_,1),betaP+1,betaQ)*betaP/(betaP+betaQ)+(1-P)*W*(_x_>=W)); } else { category c = (resp+1, categFreqMatrix, MEAN, P*_x_^(betaP-1)*(1-Min(_x_,1))^(betaQ-1)/Beta(betaP,betaQ)+W-W, P*IBeta(Min(_x_,1),betaP,betaQ)+(1-P)*(_x_>=W), 0,1e25, P*IBeta(Min(_x_,1),betaP+1,betaQ)*betaP/(betaP+betaQ)+(1-P)*W*(_x_>=W)); } } else { if (rateType == 8) { global P = .5; global betaP = 1; global betaQ = 2; betaP:>0.05;betaP:<85; betaQ:>0.05;betaQ:<85; global alpha = .5; global beta = 1; alpha:>0.01;alpha:<100; beta:>0.01; beta:<200; P:<1; category c = (resp, EQUAL, MEAN, P*_x_^(betaP-1)*(1-Min(_x_,1))^(betaQ-1)/Beta(betaP,betaQ)+(1-P)*GammaDist(_x_,alpha,beta), P*IBeta(Min(_x_,1),betaP,betaQ)+(1-P)*CGammaDist(_x_,alpha,beta), 0,1e25, P*betaP/(betaP+betaQ)*IBeta(Min(_x_,1),betaP+1,betaQ)+(1-P)*alpha/beta*CGammaDist(_x_,alpha+1,beta)); } else { if (rateType == 9) { global P = .5; P:<1; global betaP = 1; betaP:>0.05;betaP:<85; global betaQ = 2; betaQ:>0.05;betaQ:<85; global alpha = .5; alpha:>0.01;alpha:<100; global beta = 1; beta:>0.01;beta:<500; category c = (resp, EQUAL, MEAN, P*_x_^(betaP-1)*(1-Min(_x_,1))^(betaQ-1)/Beta(betaP,betaQ)+(1-P)*(_x_>1)*GammaDist(Max(1e-20,_x_-1),alpha,beta), P*IBeta(Min(_x_,1),betaP,betaQ)+(1-P)*CGammaDist(Max(_x_-1,0),alpha,beta), 0,1e25, P*betaP/(betaP+betaQ)*IBeta(Min(_x_,1),betaP+1,betaQ)+ (1-P)*(alpha/beta*CGammaDist(Max(0,_x_-1),alpha+1,beta)+CGammaDist(Max(0,_x_-1),alpha,beta))); } else { if (rateType == 10) { global P = .5; global betaP = 1; global betaQ = 2; betaP:>0.05; betaQ:>0.05; betaP:<85; betaQ:<85; global mu = 3; global sigma = .01; sigma:>0.0001; sqrt2pi = Sqrt(8*Arctan(1)); P:<1; category c = (resp, EQUAL, MEAN, P*_x_^(betaP-1)*(1-Min(_x_,1))^(betaQ-1)/Beta(betaP,betaQ)+ (1-P)*(_x_>=1)*Exp(-(_x_-mu)(_x_-mu)/(2*sigma*sigma))/(sqrt2pi__*sigma)/ZCDF((mu-1)/sigma), P*IBeta(Min(_x_,1),betaP,betaQ)+(1-P)*(_x_>=1)*(1-ZCDF((mu-_x_)/sigma)/ZCDF((mu-1)/sigma)), 0,1e25, P*betaP/(betaP+betaQ)*IBeta(Min(_x_,1),betaP+1,betaQ)+ (1-P)*(_x_>=1)*(mu*(1-ZCDF((1-mu)/sigma)-ZCDF((mu-_x_)/sigma))+ sigma*(Exp((mu-1)(1-mu)/(2*sigma*sigma))-Exp((_x_-mu)(mu-_x_)/(2*sigma*sigma)))/sqrt2pi__)/ZCDF((mu-1)/sigma)); } else { if (rateType == 11) { global P = 1/3; global P1 = .5; global mu = 3; global sigma = .5; sigma:>0.0001; global sigma1 = 1; sigma1:>0.0001; sqrt2pi = Sqrt(8*Arctan(1)); P:<1; P1:<1; categFreqMatrix = {resp+1,1}; for (k=1; k<=resp; k=k+1) { categFreqMatrix[k]:=(1-P)/resp__; } categFreqMatrix[0]:=P; category c = (resp+1, categFreqMatrix, MEAN, (1-P)((1-P1)*Exp(-(_x_-mu)(_x_-mu)/(2*sigma1*sigma1))/(sqrt2pi__*sigma1)/ZCDF(mu/sigma1)+ P1*Exp(-(_x_-1)(_x_-1)/(2*sigma*sigma))/(sqrt2pi__*sigma)/ZCDF(1/sigma)), P+(1-P)(_x_>1e-20)((1-P1)(1-ZCDF((mu-_x_)/sigma1)/ZCDF(mu/sigma1))+ P1*(1-ZCDF((1-_x_)/sigma)/ZCDF(1/sigma))), 0,1e25, (1-P)((1-P1)(mu*(1-ZCDF(-mu/sigma1)-ZCDF((mu-_x_)/sigma1))+ sigma1*(Exp(-mu*mu/(2*sigma1*sigma1))-Exp((_x_-mu)(mu-_x_)/(2*sigma1*sigma1)))/sqrt2pi__)/ZCDF(mu/sigma1)+ P(1-ZCDF(-1/sigma)-ZCDF((1-_x_)/sigma)+ sigma*(Exp(-1/(2*sigma*sigma))-Exp((_x_-1)(1-_x_)/(2*sigma*sigma)))/sqrt2pi__)/ZCDF(1/sigma)) ); } else { if (rateType == 12) { global P = 1/3; global P1 = .5; global mu = 3; global sigma = .25; global sigma1 = .5; global sigma2 = 1; sigma:>0.0001; sigma1:>0.0001; sigma2:>0.0001; sqrt2pi = Sqrt(8*Arctan(1)); P:<1; P1:<1; category c = (resp, EQUAL , MEAN, 2*P*Exp(-_x_^2/(2*sigma*sigma))+ (1-P)((1-P1)*Exp((_x_-mu)(mu-_x_)/(2*sigma2*sigma2))/(sqrt2pi__*sigma2)/ZCDF(mu/sigma2)+ P1*Exp((1-_x_)(_x_-1)/(2*sigma1*sigma1))/(sqrt2pi__*sigma1)/ZCDF(1/sigma1)), P*(1-2*ZCDF(-_x_/sigma))+ (1-P)((1-P1)(1-ZCDF((mu-_x_)/sigma2)/ZCDF(mu/sigma2))+ P1*(1-ZCDF((1-_x_)/sigma1)/ZCDF(1/sigma1))), 0,1e25, 2*P*sigma*(1-Exp(-_x_*_x_/(2*sigma*sigma)))/sqrt2pi__+ (1-P)((1-P1)(mu*(1-ZCDF(-mu/sigma2)-ZCDF((mu-_x_)/sigma2))+ sigma2*(Exp(-mu*mu/(2*sigma2*sigma2))-Exp((_x_-mu)(mu-_x_)/(2*sigma2*sigma2)))/sqrt2pi__)/ZCDF(mu/sigma2)+ P1(1-ZCDF(-1/sigma1)-ZCDF((1-_x_)/sigma1)+ sigma1*(Exp(-1/(2*sigma1*sigma1))-Exp((_x_-1)(1-_x_)/(2*sigma1*sigma1)))/sqrt2pi__)/ZCDF(mu/sigma1)) ); } else { if (rateType == 13) { global betaP = 1; global betaQ = 1; betaP:>0.05;betaP:<85; betaQ:>0.05;betaQ:<85; category pc = (resp-1, EQUAL, MEAN, _x_^(betaP-1)*(1-_x_)^(betaQ-1)/Beta(betaP,betaQ), /* density */ IBeta(_x_,betaP,betaQ), /*CDF*/ 0, /*left bound*/ 1, /*right bound*/ IBeta(_x_,betaP+1,betaQ)*betaP/(betaP+betaQ) ); global alpha = .5; global beta = 1; alpha:>0.01;alpha:<100; beta:>0.01; beta:<200; category c = (resp, pc, MEAN, GammaDist(_x_,alpha,beta), CGammaDist(_x_,alpha,beta), 0 , 1e25,CGammaDist(_x_,alpha+1,beta)*alpha/beta); } } } } } } } } } } } } } } return 0; }