Index 735
large sample, 242
σ^2 , 247
σ^21 /σ^22 , 248
p 1 −p 2
large sample, 244
based on Mann–Whitney–Wilcoxon,
605
based on signed-rank Wilcoxon, 595
binomial exact interval, 250
bootstrap
standardized, 313
confidence coefficient, 239
confidence level, 239
discrete random variable, 249
equivalence with hypotheses testing,
277
large sample, mle, 371
mean
t, 239
large sample, 240
median, 584
distribution-free, 262
percentile bootstrap interval forθ,
305
pivot, 239
Poisson exact interval, 251
proportion
large sample, 241
quantileξp
distribution-free, 261
Confidence level, 239
Conjugate family of distributions, 666
Conover,W. J., 496
Consistent, 324
Contaminated normal distribution, 194
Contaminated point-mass distribution, 641
Contingency tables, 287
Continuity correction, 345
Continuity theorem of probability, 19
Contour, 202
Contours, 198
Convergence
bounded in probability, 333
distribution, 327
n-variate, 351
sameas limiting distribution, 327
Central Limit Theorem, 342
Delta (Δ) method, 335
implied by convergence in proba-
bility, 332
implies bounded in probability, 333
mgf, 336
mgf
n-variate, 351
probability, 322
consistency, 324
implies convergence in distribution,
332
random vector, 349
Slutsky’s Theorem, 333
Convex function, 81
strictly, 81
Convolution, 108
Correlation coefficient, 126
sample, 552
Countable, 3
set, 3
Countable intersection, 6
Countable union, 6
Counting rule, 16
mn-rule, 16
combinations, 17
permutations, 16
Covariance, 125
linear combinations, 151
Coverage, 317
Craig, A. T., 564
Credible interval, 662
highest density region (HDR), 668
Crimin, K., 600
Critical region, 268, 469
Cumulant generating function, 77
Cumulative distribution function (cdf),
39
n-variate, 134
bivariate, 86
empirical cdf, 570
joint, 86
properties, 41
CUSUMS, 506D’Agostino, R. B., 259
Data
Zea mays, 267, 272, 589
squeaky hip replacements, 228
AZT doses, 282
baseball, 243
Bavarian sulfur dioxide concentra-
tions, 229, 240
Boeing airplanes, 227
Olympic race times, 633, 635
Punt distance, 630
punter.rda, 630
Rdata
aztdoses.rda, 282
bb.rda, 236, 243, 554
beta30.rda, 375
braindata.rda, 237
conductivity.rda, 537
crimealk.rda, 291
darwin.rda, 272
earthmoon.rda, 401
elasticmod.rda, 519