{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "# Familie der Gamma-Verteilungen" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 58 "with(plots): # erm\366glicht den Aufruf von Plot- Programmen" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "assume(a>0); \+ # beschr\344nkt den Parameter a auf a>0" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 63 "f:=x->x^(a-1)*exp(-x)/GAMMA(a); # Dichte der Gamm a-Verteilung" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "int(f(x), x =0..infinity); # Ist f eine korrekte Dichte?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "my := int(x*f(x), x=0..infinity); # Erwartungsw ert" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "varianz := int(x^2*f(x), x=0 ..infinity) - my^2; # Varianz" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "f_str ich := x->diff(f(x),x); # Ableitung von f" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 41 "solve(f_strich(x)=0,x); # Modalwert von f" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "animate(f(x),x=0..25, a=1..2 0, frames=20);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "13 0 0" 12 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }