Robert_V._Hogg,_Joseph_W._McKean,_Allen_T._Craig

744 Index

npsm, 623, 636
Rfit, 615
Randles, R. H., 569, 623
Random sample, 152, 226
likelihood function, 227
realizations, 226
sample size, 226
statistic, 226
Random variable, 37
continuous, 37, 49
discrete, 37, 45
equal in distribution, 40
vector, 85
Random vector, 85
n-variate, 134
continuous, 87
discrete, 86
Random-walk procedure, 505
Randomized tests, 279
Range
sample range, 257
Rank-based procedures, 569
Rao, C. R., 386, 398, 409, 410
Rao–Blackwell theorem, 427
Rao–Cram ́er lower bound, 365, 613
for unbiased estimator, 366
Rasmussen, S., 630
Rayleigh distribution, 186
Relative frequency, 2
Residual, 542
LS, 542
Residual plot, 544
Residuals
residual plot, 544
Ripley, B., 636
Risk function, 414, 659
Robert, C. P., 300, 676
Robust estimator, 642
Robustness of power, 494
Robustness of validity, 494
Rousseeuw, P. J., 627
Rutledge, J. N., 237

Sample mean, 152
consistency, 322
consistent, 324
distribution under normality, 214
variance, 152
Sample median, 257
Sample midrange, 257
Sample proportion
consistency, 326
Sample quantile, 258
sameas percentile, 258
Sample quartiles, 258
Sample range, 257

Sample size, 226

Sample size determination, 580

t-test, 580

general scores, 617

Mann–Whitney–Wilcoxon, 603

sign test, 580

two-samplet, 603

Sample space, 1

Sample variance

consistent, 325

distribution under normality, 214

Sandwich theorem, 688

Scale functional, 572

Scale parameter, 191

dispersion, 52

spread, 52

Scale-invariant statistic, 458

Scatter plot, 540

Scheff ́e, H., 457

Schultz, R., 237

Score function, 364, 608

normal scores, 614

optimal, 613

two-sample sign, 616

Scores test, 380

beta(θ,1) distribution, 381

Laplace distribution, 381

relationship to Wald test, 380

Seber, G. A. F., 511, 512

Second Stage Analysis, 526

Sensitivity curve, 639

Sequences, 688

Sequential probability ratio test, 502

error bounds, 504

Serfling, R. J., 348, 353

Set, 3

subset, 5

Set function, 7

Shape parameter, 191

Sheather, S. J., 233

Shewart, W., 505

Shift, in location, 598

Shifted exponential distribution, 327

Shrinkage estimate, 666

Sievers, G., 528

Sign statistic, 573

Sign test, 573

power function, 576

Signed-rank Wilcoxon, 586

Walsh average identity, 589

Signed-rank Wilcoxon test, 587

null properties, 588

Significance level, 271

Simple hypothesis, 270

Simulation, 31