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| %%Title: rand-bivariate-gaussian.tex |
| %%Creator: gnuplot 4.0 patchlevel 0 |
| %%CreationDate: Wed Aug 31 12:38:29 2005 |
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| % |
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| { PFa 4 get mul 0 M 0 PFs V } for |
| 0 PFa 6 get ne { |
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| { PFa 4 get mul 0 2 1 roll M PFs 0 V } for |
| } if |
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| end |
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| -4 -2 V |
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| stroke |
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| 4 3 V |
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| 2 2 V |
| 1 1 V |
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| 4 2 V |
| 4 3 V |
| 4 3 V |
| 3 2 V |
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| 2 -1 V |
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| 3 -25 V |
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| -4 -4 V |
| -3 -3 V |
| 1198 982 M |
| -2 1 V |
| -2 3 V |
| -3 11 V |
| -3 25 V |
| 3 6 V |
| 3 8 V |
| 4 10 V |
| 4 12 V |
| 1 2 V |
| 3 5 V |
| 4 6 V |
| 3 6 V |
| 4 7 V |
| 4 7 V |
| 3 8 V |
| 1 0 V |
| 3 5 V |
| 4 5 V |
| 4 6 V |
| 4 5 V |
| 3 6 V |
| 4 6 V |
| 4 6 V |
| 4 5 V |
| 3 4 V |
| 4 5 V |
| 4 5 V |
| 4 5 V |
| 3 5 V |
| 4 5 V |
| 3 4 V |
| 1 1 V |
| 4 5 V |
| 3 4 V |
| 4 5 V |
| 4 4 V |
| 4 4 V |
| 3 5 V |
| 4 5 V |
| 4 4 V |
| 1 2 V |
| 3 3 V |
| 3 4 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 3 3 V |
| 4 5 V |
| 4 4 V |
| 4 4 V |
| 2 3 V |
| 1 1 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 3 4 V |
| 4 3 V |
| 4 4 V |
| 4 4 V |
| 3 4 V |
| 3 3 V |
| 1 1 V |
| 4 4 V |
| 4 3 V |
| 3 4 V |
| 4 4 V |
| 4 3 V |
| 4 4 V |
| 3 3 V |
| 4 4 V |
| 4 3 V |
| 4 4 V |
| 1 1 V |
| 2 3 V |
| 4 3 V |
| 4 3 V |
| 4 4 V |
| 2 3 V |
| 4 3 V |
| 4 4 V |
| 4 3 V |
| stroke |
| 1453 1356 M |
| 3 3 V |
| 4 4 V |
| 4 3 V |
| 3 3 V |
| 1 0 V |
| 3 4 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 1379 998 M |
| -4 -3 V |
| -4 -3 V |
| -4 -3 V |
| -3 -3 V |
| -4 -3 V |
| -1 0 V |
| -3 -3 V |
| -4 -3 V |
| -4 -4 V |
| -3 -3 V |
| -4 -3 V |
| -4 -3 V |
| -4 -3 V |
| -3 -3 V |
| -4 -2 V |
| -4 -3 V |
| -4 -3 V |
| -3 -3 V |
| -4 -2 V |
| -1 -1 V |
| -3 -2 V |
| -4 -3 V |
| -3 -3 V |
| -4 -3 V |
| -4 -3 V |
| -4 -3 V |
| -3 -3 V |
| -4 -2 V |
| -4 -3 V |
| -4 -2 V |
| -3 -3 V |
| -4 -2 V |
| -4 -3 V |
| -4 -2 V |
| -2 -2 V |
| -1 -1 V |
| -4 -3 V |
| -4 -2 V |
| -4 -3 V |
| -3 -3 V |
| -4 -2 V |
| -4 -3 V |
| -4 -2 V |
| -3 -2 V |
| -4 -3 V |
| -4 -2 V |
| -4 -2 V |
| -3 -2 V |
| -4 -2 V |
| -4 -3 V |
| -4 -2 V |
| -3 -1 V |
| -1 -1 V |
| -3 -2 V |
| -4 -3 V |
| -4 -2 V |
| -4 -2 V |
| -3 -2 V |
| -4 -2 V |
| -4 -2 V |
| -4 -2 V |
| -3 -2 V |
| -4 -2 V |
| -4 -1 V |
| -4 -2 V |
| -3 -2 V |
| -4 -1 V |
| -4 -2 V |
| -4 -2 V |
| -3 -1 V |
| -4 -2 V |
| -4 -1 V |
| -4 -2 V |
| -3 -1 V |
| -4 -2 V |
| -4 -1 V |
| -4 -1 V |
| -3 -1 V |
| -4 -1 V |
| -4 -1 V |
| -4 -1 V |
| -3 0 V |
| -4 -1 V |
| -4 0 V |
| -4 -1 V |
| -3 0 V |
| -4 0 V |
| -4 0 V |
| stroke |
| 1063 818 M |
| -4 0 V |
| -3 1 V |
| -4 0 V |
| -4 1 V |
| -4 2 V |
| -3 1 V |
| -4 3 V |
| 675 514 R |
| -4 -4 V |
| -4 -5 V |
| 0 -1 V |
| -3 -4 V |
| -4 -5 V |
| -4 -4 V |
| -4 -5 V |
| -3 -5 V |
| -4 -4 V |
| -4 -4 V |
| -4 -5 V |
| -2 -2 V |
| -2 -2 V |
| -3 -5 V |
| -4 -5 V |
| -4 -4 V |
| -4 -5 V |
| -3 -4 V |
| -4 -4 V |
| -4 -4 V |
| -4 -4 V |
| -1 -2 V |
| -2 -3 V |
| -4 -4 V |
| -4 -5 V |
| -4 -4 V |
| -3 -3 V |
| -4 -4 V |
| -4 -4 V |
| -4 -4 V |
| -3 -4 V |
| -3 -3 V |
| -1 -1 V |
| -4 -5 V |
| -4 -4 V |
| -3 -4 V |
| -4 -4 V |
| -4 -4 V |
| -4 -4 V |
| -3 -4 V |
| -4 -3 V |
| -4 -4 V |
| -2 -2 V |
| -2 -2 V |
| -3 -4 V |
| -4 -4 V |
| -4 -4 V |
| -4 -4 V |
| -3 -4 V |
| -4 -4 V |
| -4 -3 V |
| -4 -4 V |
| -3 -3 V |
| -3 -2 V |
| -1 -2 V |
| -4 -4 V |
| -4 -4 V |
| -4 -4 V |
| -3 -4 V |
| -4 -4 V |
| -4 -3 V |
| -4 -4 V |
| -3 -3 V |
| -4 -3 V |
| -4 -4 V |
| -4 -3 V |
| -3 -4 V |
| -4 -4 V |
| -4 -4 V |
| -4 -3 V |
| -3 -4 V |
| -4 -3 V |
| -4 -4 V |
| -4 -3 V |
| -3 -3 V |
| -4 -3 V |
| -1 -1 V |
| -3 -3 V |
| -4 -4 V |
| -2 -3 V |
| -4 -4 V |
| -4 -3 V |
| -4 -3 V |
| -3 -4 V |
| -4 -3 V |
| -4 -3 V |
| -4 -3 V |
| -3 -3 V |
| -4 -2 V |
| 0 -1 V |
| -4 -4 V |
| -4 -3 V |
| -3 -4 V |
| -4 -3 V |
| -4 -3 V |
| -4 -3 V |
| stroke |
| 1382 1001 M |
| -3 -3 V |
| 291 595 R |
| 4 2 V |
| 4 3 V |
| 4 2 V |
| 3 1 V |
| 1 1 V |
| 3 2 V |
| 4 3 V |
| 4 2 V |
| 4 2 V |
| 3 2 V |
| 4 2 V |
| 4 2 V |
| 4 2 V |
| 3 2 V |
| 4 2 V |
| 4 1 V |
| 4 2 V |
| 3 2 V |
| 4 1 V |
| 4 2 V |
| 4 2 V |
| 3 1 V |
| 4 2 V |
| 4 1 V |
| 4 2 V |
| 3 1 V |
| 4 2 V |
| 4 1 V |
| 4 1 V |
| 3 1 V |
| 4 1 V |
| 4 1 V |
| 4 1 V |
| 3 0 V |
| 4 1 V |
| 4 0 V |
| 4 1 V |
| 3 0 V |
| 4 0 V |
| 4 0 V |
| 4 0 V |
| 3 -1 V |
| 4 0 V |
| 4 -1 V |
| 4 -2 V |
| 3 -1 V |
| 4 -3 V |
| 4 -2 V |
| 4 -10 V |
| 4 -15 V |
| 2 -14 V |
| -2 -7 V |
| -4 -15 V |
| -3 -16 V |
| -1 -2 V |
| -4 -8 V |
| -4 -9 V |
| -3 -9 V |
| -4 -10 V |
| 0 -1 V |
| -4 -6 V |
| -4 -7 V |
| -3 -7 V |
| -4 -7 V |
| -4 -8 V |
| -2 -4 V |
| -2 -3 V |
| -3 -6 V |
| -4 -6 V |
| -4 -6 V |
| -4 -6 V |
| -3 -6 V |
| -3 -6 V |
| -1 -1 V |
| -4 -5 V |
| -4 -6 V |
| -3 -6 V |
| -4 -5 V |
| -4 -6 V |
| -4 -5 V |
| -2 -4 V |
| -1 -2 V |
| -4 -5 V |
| -4 -5 V |
| -4 -6 V |
| -3 -5 V |
| -4 -5 V |
| -4 -5 V |
| -4 -5 V |
| 0 -1 V |
| -3 -4 V |
| -4 -5 V |
| -4 -5 V |
| -4 -5 V |
| -3 -5 V |
| -4 -5 V |
| -382 -30 R |
| 3 4 V |
| 4 4 V |
| 4 3 V |
| 4 4 V |
| 3 3 V |
| stroke |
| 1348 1328 M |
| 3 2 V |
| 1 2 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 3 4 V |
| 4 4 V |
| 4 3 V |
| 4 4 V |
| 3 3 V |
| 4 3 V |
| 4 4 V |
| 4 3 V |
| 3 4 V |
| 4 4 V |
| 4 4 V |
| 4 3 V |
| 3 4 V |
| 4 3 V |
| 4 4 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 1 1 V |
| 3 3 V |
| 4 4 V |
| 2 3 V |
| 4 4 V |
| 4 3 V |
| 4 3 V |
| 3 4 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 2 V |
| 0 1 V |
| 4 4 V |
| 4 3 V |
| 3 4 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 1 0 V |
| 3 3 V |
| 4 3 V |
| 4 4 V |
| 3 3 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 2 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 2 V |
| 1 1 V |
| 3 2 V |
| 4 3 V |
| 3 3 V |
| 4 3 V |
| 4 3 V |
| 4 3 V |
| 3 3 V |
| 4 2 V |
| 4 3 V |
| 4 2 V |
| 3 3 V |
| 4 2 V |
| 4 3 V |
| 4 2 V |
| 2 2 V |
| 1 1 V |
| 4 3 V |
| 4 2 V |
| 4 3 V |
| 3 3 V |
| 4 2 V |
| 4 3 V |
| 4 2 V |
| 3 2 V |
| 4 3 V |
| 4 2 V |
| 4 2 V |
| 3 2 V |
| 1037 826 M |
| -4 2 V |
| -4 10 V |
| -4 15 V |
| -2 14 V |
| 2 7 V |
| 4 15 V |
| 3 16 V |
| 1 2 V |
| 4 8 V |
| 4 9 V |
| 3 9 V |
| stroke |
| 1044 933 M |
| 4 10 V |
| 0 1 V |
| 4 6 V |
| 4 7 V |
| 3 7 V |
| 4 7 V |
| 4 8 V |
| 2 4 V |
| 2 3 V |
| 3 6 V |
| 4 6 V |
| 4 6 V |
| 4 6 V |
| 3 6 V |
| 3 6 V |
| 1 1 V |
| 4 5 V |
| 4 6 V |
| 3 6 V |
| 4 5 V |
| 4 6 V |
| 4 5 V |
| 2 4 V |
| 1 2 V |
| 4 5 V |
| 4 5 V |
| 4 6 V |
| 3 5 V |
| 4 5 V |
| 4 5 V |
| 4 5 V |
| 0 1 V |
| 3 4 V |
| 4 5 V |
| 4 5 V |
| 4 5 V |
| 3 5 V |
| 4 5 V |
| 4 4 V |
| 4 5 V |
| 0 1 V |
| 3 4 V |
| 4 5 V |
| 4 4 V |
| 4 5 V |
| 3 5 V |
| 4 4 V |
| 4 4 V |
| 4 5 V |
| 2 2 V |
| 2 2 V |
| 3 5 V |
| 4 5 V |
| 4 4 V |
| 4 5 V |
| 3 4 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 1 2 V |
| 2 3 V |
| 4 4 V |
| 4 5 V |
| 4 4 V |
| 3 3 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 3 4 V |
| 3 3 V |
| 1 1 V |
| 4 5 V |
| 4 4 V |
| 3 4 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 3 4 V |
| 4 3 V |
| 4 4 V |
| 2 2 V |
| 2 2 V |
| 3 4 V |
| 4 4 V |
| 4 4 V |
| 4 4 V |
| 0.500 UL |
| LTb |
| 2001 1795 M |
| 0 -1122 V |
| 0.500 UL |
| LTb |
| 879 673 M |
| 1122 0 V |
| LTb |
| LTb |
| 1.000 UP |
| stroke |
| grestore |
| end |
| showpage |
| }}% |
| \put(2313,1234){\cjust{$y$}}% |
| \put(1440,361){\cjust{$x$}}% |
| \put(2354,2004){\rjust{$\sigma_x=1, \sigma_y=1, \rho=0.9$}}% |
| \put(1440,2267){\cjust{Bivariate Gaussian Distribution}}% |
| \put(2083,1795){\ljust{ 2}}% |
| \put(2083,1514){\ljust{ 1}}% |
| \put(2083,1234){\ljust{ 0}}% |
| \put(2083,954){\ljust{-1}}% |
| \put(2083,673){\ljust{-2}}% |
| \put(2001,541){\cjust{ 2}}% |
| \put(1720,541){\cjust{ 1}}% |
| \put(1440,541){\cjust{ 0}}% |
| \put(1160,541){\cjust{-1}}% |
| \put(879,541){\cjust{-2}}% |
| \endGNUPLOTpicture |
| \endgroup |
| \endinput |