February 2019
Intermediate to advanced
634 pages
17h 41m
English
Content preview from Introduction to Probability, Second Edition, 2nd Edition
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2D LOTUS, 324
2D Poisson process, 573
68-95-99.7% rule, 236
Adam’s law, 426
adjusting for overcounting, 15
aggregation of data, 76
aperiodic Markov chain, 505
axioms of probability, 22
bank–post office story, 396
Bayes’ billiards, 382
Bayes’ rule, 53
coherency of, 67
four versions of, 316
odds form, 54
with extra conditioning, 60
Bayesian view of probability, 22, 383
Bernoulli distribution, 112
MGF of, 279
sum of r.v.s, 131
Bernoulli trial, 112
Beta distribution, 380
and the Binomial, 383
and the Gamma, 396
as the distribution of the order statistics of Uniforms, 402
expectation of, 397
PDF of, 397
simulation of, 539
Beta-Binomial distribution, 398
binary entropy function, 186
binomial coefficient, 15
Binomial distribution, 112
and Beta, ...
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