(*^
::[ Information =
"This is a Mathematica Notebook file. It contains ASCII text, and can be
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but it can be opened using any other version as well.";
FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2";
MacintoshStandardFontEncoding;
fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8, 24, "Times";
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fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12, 12, "Times";
fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times";
fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times";
fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L-5, 12, "Courier";
fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier";
fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L-5, 12, "Courier";
fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier";
fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, B65535, L-5, 12, "Courier";
fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, 12, "Courier";
fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, 10, "Geneva";
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paletteColors = 128; automaticGrouping; currentKernel;
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:[font = input; preserveAspect]
ClearAll;Clear[f1];Clear[f2];
$DefaultFont = {"Times-Roman",10};
Needs["Statistics`DataManipulation`"];
Needs["Graphics`Graphics`"];
cumulative = {312/545,413/545,487/545,522/545,537/545,1};
datapoints = {{0,0},{1,312/545},{2,413/545},
{3,487/545},{4,522/545},{5,537/545},{6,1}};
density = {312/545,101/545,74/545,35/545,15/545,8/545};
F[s_,c_,x_] = 1 - E^(-(x/s)^c);
f[s_,c_,x_] = (c (x/s)^(c-1) E^(-(x/s)^c))/s;
error[s_,c_] = Evaluate[Apply[Plus,Table[(F[s,c,n]-cumulative[[n]])^2,{n,1,6}]]];
leasterror = FindMinimum[error[s,c],{s,0.1,0.2,0,4},{c,1,1.1,0,3}]
sopt = s/.leasterror[[2]]; copt = c/.leasterror[[2]];
Fbest[x_] = F[sopt,copt,x];
fbest[x_] = f[sopt,copt,x];
up:= Show[Plot[fbest[x],{x,0.001,6}],
PlotRange->{{0,6.05},{0,0.8}},
PlotLabel->FontForm["(a) y = F'(x) = f(x)\n (p.d.f.)",
{"Courier",10}],
AxesOrigin->{-0.15,-0.025},
Axes->True,AxesLabel->{" x","y"}];
down:= Show[Plot[Fbest[x],{x,0.001,6},
PlotRange->{{0,6.05},{0,1.05}},
PlotLabel->FontForm["(b) y = F(x)\n (c.d.f.)",{"Courier",10}],
AxesOrigin->{-0.15,-0.025},
Axes->True,AxesLabel->{" x","y"}],
ListPlot[datapoints]];
Show[GraphicsArray[{{up},{down}}],
PlotLabel->" Figure 24.10\nPrairie dog survival according to (21)-(22)"]
^*)