CONTENTS xi近 APPENDIX G RANDOM NUMBERS 345 G.1 Random number generators 345 G.2 Random numbers uniform on(0,1) 345 G.3 Generating non-uniform distributions 347 G.4 Random vectors on the surface of a sphere 349 G.5 Choosing randomly and uniformly from complicated regions 349 G.6 Sampling from an arbitrary distribution 351 REFERENCES 352 INDEX 383