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| Rice J.A. — Mathematical statistics and data analysis |
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| Предметный указатель |
Exponential distribution relation to uniform distribution 61
Exponential family 283
extrema 176
F distribution 178
F test factorial design 471
F test for one-way layout 445
F test for randomized block design 466
F test for two-way layout 461
Factorization theorem 281
Failure times of engine bearings 427
Failure times of Kevlar/epoxy strands 342—343 384—386
False negative 16
False positive 16
Fanger 318
Farlie — Morgenstern family 75
Faults on telephone lines 433
Fechter 455
Feinberg 498
Ferguson 578
Fields 418
Filliben 391
Finite population correction 194
Fisher 278 314
Fisher's Exact Test 483
Follicle stimulating hormone assay 482
Fonegovic-Smalc 434
Forrester 20
Fractional factorial design 471
Franklin 337
Freedman 528
Freeman 342 384
Frequency function 34
Frequency function, conditional 85
Frequency function, joint 71
Frequency function, marginal 71
Frequentist 24 587
Friedman's test 469
Gamma distribution 50
Gamma distribution expectation 114
Gamma distribution fit to rainfall 244 249
Gamma distribution fit to times between microearthquakes 52
Gamma distribution fit to whale velocities 292
Gamma distribution graphs 52
Gamma distribution maximum likelihood estimate 256
Gamma distribution method of moments 249
Gamma distribution mode 66
Gamma distribution moment generating function 144
Gamma distribution relation to exponential 87 94
Gamma distribution scale parameter 52
Gamma distribution shape parameter 52
Gamma distribution sufficient statistics 298
Gamma distribution variance 145
Gamma distribution, sums of gamma random variables 147
Gamma function 50
Gamma function, properties of 66
Gardner 8
Gastwirth 21
Gaudet 502
Geissler 338
Genetic factors in diabetes 498
Genetics 31—32
Geometric distribution 38
Geometric distribution expectation 112
Geometric distribution fit to bird hops 288
Geometric distribution graph 39
Geometric distribution memoryless property 63
Geometric distribution moment generating function 160
Geometric distribution, cdf 63
Geometric distribution, maximum likelihood estimate 288
Geometric distribution, sufficient statistic 298
Gerlough 286
Giovino 505
Glass 18
Glaux maritima frequency counts 297
Gnanadesikan 357
Gordon 418
Gosset 419
Grace 419
Grades in a statistics class according to major 500
Gravity, measurement of 127
Greenwald 492
Group testing 121
Gudzinowicz 318
Gurland 329
Haberman 498 500
Hall 18
Hamming code 62
Hampson 361
Hanging rootogram 318
Hansen 225 551
Hardy — Weinburg equilibrium 260 270
Hartley 269
Hazard function 350
Heat of sublimation of irridium 378
Heat of sublimation of platinum 361
Heat of sublimation of rhodium 378
Heckman 428
Helland 56 89
Hennekins 423
Herkson 186
Herron 511
Heteroscedastic 519
histogram 72 357
Hoaglin 340
Hockersmith 560
Hodges — Lehmann shift estimate 434
Hodgkin's disease and tonsillectomies 492
Holland 498
Hollander 415
Homoscedastic 519
Houck 524
Huber 366
Huff 383
Huie 511
Hunter 472
Hydrocarbon vapors in gasoline tanks 567
Hypergeometric distribution 39
Hypergeometric distribution, binomial as limiting case of 63
Incidence of tumors in mice 503
Incomplete block design 471
Independence of events 22
Independence of random variables 35 83
Independence, mutual 22
Independent variable in regression 507
Indicator random variable 36
Interaction 456
Interquartile range (IQR) 372
Intersection 3
ion channels 50 166 243
Iron retention in mice 396
Jackknife 232
Jacobian 98
Jason 29
Jerdee 483
Johnson 492
joiner 441 516
Kacprzak 412
Katy 27
Keefe 563
Kernel probability density function estimate 359
Kiefer 563
King 335
Kirchhoefer 443
Kiser 489
Klauber 499
Knafl 559
Koenigsberg 505
Kruskal — Wallis test 453
ku 559 560
Kullbeig 243
| kurtosis 329
Kushnir 346 375
Lagokos 420
Laplace's rule of succession 601
Latent heat of fusion of ice 390
Law of Large Numbers 163
Law of total probability 17
Lawson 551
Lazarsfeld 502
Le Cam 244 249 437
Least squares estimates 366 507
Least squares estimates of intercept 509
Least squares estimates of slope 509
Least squares estimates, confidence intervals for 515 542
Least squares estimates, covariance matrix of 538
Least squares estimates, unbiasedness 513 538
Least squares estimates, weighted 553
Lehmann 285 424 454 564
Leverage 522
Levine 412 418
Liedo 379
Light and dosage effects on release of luteinizing hormone 475
Likelihood 254
Likelihood ratio 304
Likelihood ratio test 304 308
Likelihood ratio test for comparing two means 393
Likelihood ratio test for homogeneity 502
Likelihood ratio test for independence 502
Likelihood ratio test for one-way layout 472
Likelihood ratio test relation to Pearson's chi-square test 311—312
Likelihood ratio test, generalized 308
Likelihood ratio test, large sample distribution of 310
Lin 430
Linear combinations of random variables, covariance of 131
Linear combinations of random variables, expectation of 119
Linear combinations of random variables, variance of 132
Linear regression 511
Literary Digest poll 224
Location parameter 122
Log likelihood 254
Log linear model 498
Lognormal distribution 67
Lognormal distribution and particle size distributions 173
Lognormal distribution fit to dorsal lengths of octopods 339
loss 571
Lynd 499
M estimate 366 551
Magnet field's effect on mice 433
Majority decoder 37
Manganese content of iron 339
Mann — Whitney test 402
Marcelle 27
Marginal CDF 74
Marginal density 75
Marginal frequency function 71
Marshall 50
Martin 318
Mastermind 26
Maximum joint cdf of maximum and minimum 102
Maximum likelihood estimate 13 254
Maximum likelihood estimate asymptotic distribution 264
Maximum likelihood estimate asymptotic variance 264
Maximum likelihood estimate asymptotically efficient 276
Maximum likelihood estimate large sample theory 261
Maximum likelihood estimate, confidence interval for 266
Maximum likelihood estimate, sufficiency of 284
Maximum of independent random variables 100
Maxwell's distribution 116
McCool 427
McNemar's test 493
McNish 128
Mean 111 see "Sample
Mean squared error (MSE) 127
Mean vector 533
Mean vector change under linear transformation 533
Measurement of ampicillin dosages 431
Measurement of chlorpheniramine maleate in tablets 443 475
Measurement of niacin in cereal products 477
Measurement of of magnesium content 479
Measurement of pyrazolone-T in FD&C Yellow No. 5 432
Measurement of sulfanic acid in FD&C Yellow No. 5 432
Median 47 101
Median absolute deviation from the median (MAD) 372
Median of probability law 47
Median variance of median of normal sample 377
Median, confidence interval for 364
Memoryless property of exponential distribution 49
Memoryless property of geometric distribution 63
Mendel 314
Mendel's data 314
Mercury levels in fish 412
Mestrovic 434
Method of moments 246
Michelle 27
Michelson's determination of the velocity of light 324
Miller 454
Minimax rule 573
Minimum joint cdf of minimum and maximum 102
Minimum of independent random variables 100
MODE 63
moment 143
Moment generating function (MGF) 142
Moment generating function change under linear transformations 146
Moment generating function of sums of independent random variables 146
Moment generating function unicity property 143
Moment generating function, continuity theorem 167
Moment generating function, determination of moments from 144
Moment generating function, joint 148
Moment generating function, marginal 148
Montal 470
Monte Carlo integration 164
Mortality of medflies 379
Morton 485 501
Mosteller 420
Muench 419
Multinomial coefficients 15
Multinomial distribution 72
Multinomial distribution and histograms 72
Multinomial distribution covariance and correlation 156
Multinomial distribution maximum likelihood estimate 259
Multinomial distribution relation to binomial 72
Multiple comparisons 451
Multiple correlation coefficient 546
Multiplication law 17
Multiplication principle 8
Natrella 390 480
Negative binomial distribution 38
Negative binomial distribution expectation 160
Negative binomial distribution fit to counts in ecological studies 297
Negative binomial distribution fit to insect counts 279
Negative binomial distribution graph 40
Negative binomial distribution method of moments 278
Negative binomial distribution moment generating function 160
Negative binomial distribution variance 160
Neyman 244 249 437
Neyman allocation 219
Neyman — Pearson lemma 304
Nonresponse 224
Normal distribution 53
Normal distribution approximation to binomial 172
Normal distribution approximation to Poisson 167
Normal distribution confidence intervals for paramters 266
Normal distribution expectation 114
Normal distribution fit to cell membrane current 243
Normal distribution fit to turbulent wind velocity 56
Normal distribution fit to undersea noise 55
Normal distribution graphs 54
Normal distribution method of moments 248
Normal distribution moment generating function 145 146
Normal distribution moments 160
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