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Books > Science & Mathematics > Mathematics > Probability & statistics
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Non-Uniform Random Variate Generation (Paperback, 1986 ed.)
Loot Price: R3,937
Discovery Miles 39 370
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Non-Uniform Random Variate Generation (Paperback, 1986 ed.)
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Thls text ls about one small fteld on the crossroads of statlstlcs,
operatlons research and computer sclence. Statistleians need random
number generators to test and compare estlmators before uslng them
ln real l!fe. In operatlons research, random numbers are a key
component ln !arge scale slmulatlons. Computer sclen- tlsts need
randomness ln program testlng, game playlng and comparlsons of
algo- rlthms. The appl!catlons are wlde and varled. Yet all depend
upon the same com- puter generated random numbers. Usually, the
randomness demanded by an appl!catlon has some bullt-ln structure:
typlcally, one needs more than just a sequence of Independent
random blts or Independent uniform [0,1] random vari- ables. Some
users need random variables wlth unusual densltles, or random com-
blnatorlal objects wlth speclftc propertles, or random geometrlc
objects, or ran- dom processes wlth weil deftned dependence
structures. Thls ls preclsely the sub- ject area of the book, the
study of non-uniform random varlates. The plot evolves around the
expected complexlty of random varlate genera- tlon algorlthms. We
set up an ldeal!zed computatlonal model (wlthout overdolng lt), we
lntroduce the notlon of unlformly bounded expected complexlty, and
we study upper and lower bounds for computatlonal complexlty. In
short, a touch of computer sclence ls added to the fteld. To keep
everythlng abstract, no tlmlngs or computer programs are lncluded.
Thls was a Iabor of Iove. George Marsagl!a created CS690, a course
on ran- dom number generat!on at the School of Computer Sclence of
McG!ll Unlverslty.
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