1{VERSION 6 0 "IBM INTEL LINUX" "6.0" } 2{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 31 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 40 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } 5{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 60 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 7{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 80 0 0 0 0 -1 0 }} 9{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 301 "restart:\nwith(Stat 10istics):\nassume(alpha>0);\ngumbel_:=RandomVariable(Gumbel(beta,1/alph 11a)):\npdf:=PDF(gumbel_,x);\nmu_:=Mean(gumbel_);\nvar_:=Variance(gumbel 12_);\nassume(v>0):\nsol:=allvalues(solve(\{mu_=m,var_=v\},\{alpha,beta 13\})):\nmap(_x->collect(simplify(_x,symbolic),m),subs(sol[1],v=sigma^2, 14[alpha,beta]));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$pdfG*(%'alpha| 15irG\"\"\"-%$expG6#,$*&,&%\"xGF'%%betaG!\"\"F'F&F'F0F'-F)6#,$F(F0F'" }} 16{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$mu_G,&%%betaG\"\"\"*&%&gammaGF'%'al 17pha|irG!\"\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%var_G,$*(\"\"'!\" 18\"%'alpha|irG!\"#%#PiG\"\"#\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7 19$,$**\"\"'!\"\"F&#\"\"\"\"\"#%#PiGF)%&sigmaGF'F),&%\"mGF)**%&gammaGF)F 20,F)F&F(F+F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "map(_x->co 21llect(simplify(_x,symbolic),m),subs(sol[1],v=sigma^2,[alpha,beta]));" 22}}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$,$**\"\"'!\"\"F&#\"\"\"\"\"#%#PiGF 23)%&sigmaGF'F),&%\"mGF)**%&gammaGF)F,F)F&F(F+F'F'" }}}{EXCHG {PARA 0 "> 24 " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "1 0 0" 0 }{VIEWOPTS 1 1 0 1 1 251803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 } 26