Page 677 - Probability and Statistical Inference

654 Index

379 Information
Uniqueness 371 Fixed-width confidence interval
Events 571-574, 584-587
Conditional probability 2, 9-12 Two-stage sampling 573-574,
Disjoint; see Mutually exclusive 586
Favorable 10 Frequentist concept 1-3; see also
Independence of events 10, 53 Historical notes
Mutually 11 Probability 2, 8, 21, 65-66
Pairwise 11 Risk 351-354
Mutually exclusive 4 Fubini’s Theorem 502
Partition 7, 51, 397 G
Probability 1-3, 6-8, 21, 65-66
Calculus of probability 2, Gamma distribution 42, 482-484
9-12 Density 42
Probability axioms 6-7 Moment generating function
Probability scheme 7, 9 84-85
Simple 6 Moments 76-77
Expectation of a random variable; Reproductive property 192
see Moment of a distribution Gamma function 30
Conditional 109, 129, 487 Gamma integral 30
Exponential distribution 43, 201- Geometric distribution 35
202; see also Gamma distribution Moments 76, 77
Memoryless property 44 Probability generating function
Moment generating function (pgf) 97
76-77, 85 Reproductive property 227
Moments 86 Negative binomial distribution
Standard exponential 43 227
Exponential family 141, 172-173, H
300
Completeness 322 Helmert transformation 197-199
Curved exponential 144, 335 236, 325, 336
One-parameter 141-144 Normal distribution 38-40
Multi-parameter 144-145 Helmert variables 198
Sufficiency 300 Normal distribution 197-199,
236
F Histogram 189, 258-260
Simulation 187-189, 258-260
Factorial moments 88-89 Historical notes
F distribution 48, 209-210 Analysis of variance 199-200,
Asymptotic property 265 601, 607, 616
Density 48 Ancillarity 310, 316-317, 600-
Moments 211 603
Statistical table 630, 632 Bayesian concepts 478, 596-
Fiducial distribution; see Historical 598, 601, 616
notes Behrens-Fisher problem 534-
Fieller-Creasy problem 535, 586 535, 579, 586
Fisher information; see Characterization of normal