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# Purpose: Providing the copula functions for the
# variables (continuous, ordinal. And counts if there are any).
#
# Inputs
# d1 : dimensions for the continuous variables.
# d2 : dimensions for the ordinal variables.
# d3 : dimensions for the count variables.
# cop_name_f1: copula names for the first factor, starting
# with the continuous variables, ordinal and then the count variables.
# cop_name_f2: copula names for the second factor, starting
# with the continuous variables, ordinal and then the count variables.
# Output: Copula functions for the continuous, ordinal, and count variables
# stored in lists, and to be used for the likelihood function.
copulas=function(d1=0,d2=0,d3=0,cop_name_f1,cop_name_f2=NULL){
#number of total items
d=d1+d2+d3
#copula names for each factor
cop_name<-list(first_factor=cop_name_f1,second_factor=cop_name_f2)
cop_name<-Filter(Negate(is.null), cop_name)#negating the null.
num_factors<-length(cop_name)#number of factors
#Empty lists to save outputs
dcop=list(f1=list(),f2=list())
pcondcop=list(f1=list(),f2=list())
qcondcop=list(f1=list(),f2=list())
for(i in 1:num_factors){
for(j in 1:d){
if(cop_name[[i]][[j]]=="bvn"){
dcop[[i]][[j]]=dbvn;pcondcop[[i]][[j]]=pcond.bvn;qcondcop[[i]][[j]]=qcond.bvn
}
if(cop_name[[i]][[j]]=="bvt1"){
dcop[[i]][[j]]=dtcop1;pcondcop[[i]][[j]]=pcond.t1;qcondcop[[i]][[j]]=qcond.t1
}
if(cop_name[[i]][[j]]=="bvt2"){
dcop[[i]][[j]]=dtcop2;pcondcop[[i]][[j]]=pcond.t2;qcondcop[[i]][[j]]=qcond.t2
}
if(cop_name[[i]][[j]]=="bvt3"){
dcop[[i]][[j]]=dtcop3;pcondcop[[i]][[j]]=pcond.t3;qcondcop[[i]][[j]]=qcond.t3
}
if(cop_name[[i]][[j]]=="bvt4"){
dcop[[i]][[j]]=dtcop4;pcondcop[[i]][[j]]=pcond.t4;qcondcop[[i]][[j]]=qcond.t4
}
if(cop_name[[i]][[j]]=="bvt5"){
dcop[[i]][[j]]=dtcop5;pcondcop[[i]][[j]]=pcond.t5;qcondcop[[i]][[j]]=qcond.t5
}
if(cop_name[[i]][[j]]=="bvt6"){
dcop[[i]][[j]]=dtcop6;pcondcop[[i]][[j]]=pcond.t6;qcondcop[[i]][[j]]=qcond.t6
}
if(cop_name[[i]][[j]]=="bvt7"){
dcop[[i]][[j]]=dtcop7;pcondcop[[i]][[j]]=pcond.t7;qcondcop[[i]][[j]]=qcond.t7
}
if(cop_name[[i]][[j]]=="bvt8"){
dcop[[i]][[j]]=dtcop8;pcondcop[[i]][[j]]=pcond.t8;qcondcop[[i]][[j]]=qcond.t8
}
if(cop_name[[i]][[j]]=="bvt9"){
dcop[[i]][[j]]=dtcop9;pcondcop[[i]][[j]]=pcond.t9;qcondcop[[i]][[j]]=qcond.t9
}
if(cop_name[[i]][[j]]=="frk"){
dcop[[i]][[j]]=dfrank;pcondcop[[i]][[j]]=pcond.frank;qcondcop[[i]][[j]]=qcond.frank
}
if(cop_name[[i]][[j]]=="gum"){
dcop[[i]][[j]]=dgumbel;pcondcop[[i]][[j]]=pcond.gumbel;qcondcop[[i]][[j]]=qcond.gumbel
}
if(cop_name[[i]][[j]]=="rgum"){
dcop[[i]][[j]]=dsgumbel;pcondcop[[i]][[j]]=pcond.sgumbel;qcondcop[[i]][[j]]=qcond.sgumbel
}
if(cop_name[[i]][[j]]=="1rgum"){
dcop[[i]][[j]]=dgumbel.90;pcondcop[[i]][[j]]=pcond.gumbel.90;qcondcop[[i]][[j]]=qcond.gumbel.90
}
if(cop_name[[i]][[j]]=="2rgum"){
dcop[[i]][[j]]=dgumbel.270;pcondcop[[i]][[j]]=pcond.gumbel.270;qcondcop[[i]][[j]]=qcond.gumbel.270
}
if(cop_name[[i]][[j]]=="joe"){
dcop[[i]][[j]]=djoe;pcondcop[[i]][[j]]=pcond.joe;qcondcop[[i]][[j]]=qcond.joe
}
if(cop_name[[i]][[j]]=="rjoe"){
dcop[[i]][[j]]=dsjoe;pcondcop[[i]][[j]]=pcond.sjoe;qcondcop[[i]][[j]]=qcond.sjoe
}
if(cop_name[[i]][[j]]=="1rjoe"){
dcop[[i]][[j]]=djoe.90;pcondcop[[i]][[j]]=pcond.joe.90;qcondcop[[i]][[j]]=qcond.joe.90
}
if(cop_name[[i]][[j]]=="2rjoe"){
dcop[[i]][[j]]=djoe.270;pcondcop[[i]][[j]]=pcond.joe.270;qcondcop[[i]][[j]]=qcond.joe.270
}
if(cop_name[[i]][[j]]=="bb1"){
dcop[[i]][[j]]=dbb1;pcondcop[[i]][[j]]=pcond.bb1;qcondcop[[i]][[j]]=qcond.bb1
}
if(cop_name[[i]][[j]]=="rbb1"){
dcop[[i]][[j]]=dsbb1;pcondcop[[i]][[j]]=pcond.sbb1;qcondcop[[i]][[j]]=qcond.sbb1
}
if(cop_name[[i]][[j]]=="bb7"){
dcop[[i]][[j]]=dbb7;pcondcop[[i]][[j]]=pcond.bb7;qcondcop[[i]][[j]]=qcond.bb7
}
if(cop_name[[i]][[j]]=="rbb7"){
dcop[[i]][[j]]=dsbb7;pcondcop[[i]][[j]]=pcond.sbb7;qcondcop[[i]][[j]]=qcond.sbb7
}
if(cop_name[[i]][[j]]=="bb8"){
dcop[[i]][[j]]=dbb8;pcondcop[[i]][[j]]=pcond.bb8;qcondcop[[i]][[j]]=qcond.bb8
}
if(cop_name[[i]][[j]]=="rbb8"){
dcop[[i]][[j]]=dsbb8;pcondcop[[i]][[j]]=pcond.sbb8;qcondcop[[i]][[j]]=qcond.sbb8
}
if(cop_name[[i]][[j]]=="bb10"){
dcop[[i]][[j]]=dbb10;pcondcop[[i]][[j]]=pcond.bb10;qcondcop[[i]][[j]]=qcond.bb10
}
if(cop_name[[i]][[j]]=="rbb10"){
dcop[[i]][[j]]=dsbb10;pcondcop[[i]][[j]]=pcond.sbb10;qcondcop[[i]][[j]]=qcond.sbb10
}
}
}
return(list(dcop=dcop, pcondcop=pcondcop, qcondcop=qcondcop))
}
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