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Hodges J. L., Lehmann E. L. — Basic Concepts Of Probability And Statistics
Hodges J. L., Lehmann E. L. — Basic Concepts Of Probability And Statistics



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Название: Basic Concepts Of Probability And Statistics

Авторы: Hodges J. L., Lehmann E. L.

Аннотация:

Basic Concepts of Probability and Statistics provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background. It is the only book at this level to introduce readers to modern concepts of hypothesis testing and estimation, covering basic concepts of finite, discrete models of probability and elementary statistical methods. Although published in 1970, it maintains a modern outlook, especially in its emphasis on models and model building and also by its coverage of topics such as simple random and stratified survey sampling, experimental design, and nonparametric tests and its discussion of power.The book covers a wide range of applications in manufacturing, biology, and social science, including demographics, political science, and sociology. Each section offers extensive problem sets, with selected answers provided at the back of the book. Among the topics covered that readers may not expect in an elementary text are optimal design and a statement and proof of the fundamental (NeymanPearson) lemma for hypothesis testing.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-е издание

Год издания: 2005

Количество страниц: 462

Добавлена в каталог: 17.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Events, intersection of two      29 31
Events, simple      12 18
Events, union of two      31 see
Examination      see "Multiple-choice"
Exclusive events      30 33 35 102
Expectation      142 147 149
Expectation as center of gravity      148
Expectation as expectation of conditional expectation      223
Expectation as long-run average      142
Expectation of average      267
Expectation of binomial      170
Expectation of hypergeometric      175 180
Expectation of indicator      148
Expectation of matching      153
Expectation of measurement      266
Expectation of Poisson      202
Expectation of sample average      262
Expectation of uniform      205 207
Expectation of weighted average      253
Expectation of Wilcoxon paired-comparison statistic      359
Expectation of Wilcoxon two-sample statistic      342 343
Expectation, addition law of      151
Expectation, conditional      221
Expectation, minimizes expected squared error      165
Expectation, multiplication law of      154
Expected value      142 see
Expenses      see "Medical"
Experiment      see "Size"
Experiment with several parts      62 see
Experiment, deterministic      3
Experimental design      see "Design"
Extrasensory perception      310 313
extreme values      290
Face card      see "Heart"
Factor model      64 98
Factorial      59
Factorial design      296
Failure      77
Fair die      89
Fair price (for a game)      142
False acceptance      370 373
False negative (positive)      113
False rejection      311 373
Families      see "Number" "Sequentially" "Sex" "Two-child"
Father-daughter marriage      127
Favorable cases      24
Federalist papers      129
Fertilizer      326
Field trials      see "Agricultural"
Fisher — Irwin test      334 362
Fisher, R.A.      296 334 405
Floods      26
Forecasting      see "Election"
frequency      5 13 17
Frequency of males      7 9 15 25 215
Frequency, conditional      69 89 91 97
Frequency, long-run      9 13 18 250
Frequency, stability property of      9 10
Frequency, unrelated      70 73
Galileo      309
gallery      see "Shooting"
gambling      23 79 142
Gambling systems      144 147
Gambling, odds in personal probability      127
Gambling, systems      144 146 147
Gauss, K.F.      157
Gene      117
Gene, lethal      118 125
General addition law for expectation      152
General addition law for variance      227
Generalized binomial trials model      81 200 211
Generalized equivalence law of ordered sampling      55 59 277
Generator      see "Random"
Genetic counseling      119
Genotype      117
Girls      see "Boy" "Distribution"
Goodness of fit      321
Gosset, W.S.      405
Graded response      332 339
Graunt, J.      20 389
Gross error      291
Growth hormone      see "Effect"
Guilt      see "Probability"
Hamilton, A.      129
Hands      see "Poker"
Heart face card      98
Heart treatment      333 339 391
histogram      138
Histogram of estimates      244 246 249
Histogram of standardized variable      182 184 186
Histogram, empirical      192
Homogeneity of subjects      328 352
Hormone      see "Effect"
hypergeometric      192 see
Hypergeometric distribution      138 174 239
Hypergeometric distribution in Fisher — Irwin test      333
Hypergeometric distribution, binomial approximation to      176
Hypergeometric distribution, expectation of      175
Hypergeometric distribution, multiple      219 234 235
Hypergeometric distribution, normal approximation to      192 280
Hypergeometric distribution, tables of      176
Hypergeometric distribution, variance of      177 229
Hypergeometric model      41 138 239 245 250 256
Hypergeometric model as lottery model      225
Hypergeometric model, estimation of proportion in      245 250 256 258 285
Hypergeometric model, testing of proportion in      374 379 383 see "Election "Lot "Proportion" "Quality "Sampling"
Hypergeometric random variable      138 174
Hypergeometric random variable as sum of indicators      175 176 178
Hypergeometric random variable in Fisher — Irwin test      333
Hypergeometric random variable, expectation of      143 175 178
Hypergeometric random variable, variance of      177 229
Hypothesis testing      241 310 see
improvement      see "Quality"
Inclusion of a specified item      49
Income and politics      100
Independent events      73 98 102
Independent random variables      139
Independent random variables and central limit theorem      187
Independent random variables and zero correlation      226
Independent random variables in joint distributions      221 223 225
Independent random variables, addition law of variance for      163
Independent random variables, multiplication law of expectation for      155
Indicator (random variable)      138 141 150
Indicator (random variable), covariance of      164
Indicator (random variable), expectation of      148
Indicator (random variable), extended      395 see
Indicator (random variable), variance of      159
Indicators      138 148 159
Indirect dependence      72 100 126
Inspection      see "Lot-Sampling" "Sampling"
Insufficient reason, principle of      24
Insulin and diabetes      100
Intelligence      265
Interaction      297 299
Intersection      29 31 see
Interval estimation      240
Inverse ranks      348
Irwin, J.O.      334
Items      see "Choosing" "Defective" "Inclusion"
Items of several types      219
Items of three types      219
Joint distribution      218
Joint distribution, marginal      222 234
Judged response      362
Laboratories      see "Two"
Laplace's measure of dispersion      158
Laplace, P.S.      158
Law of Large Numbers      210
Law of large numbers, uniform      211
Laws of averages      80
Laws of complementation      34
Laws of covariance      163 225 see "Bayes' "De "Equivalence "Law "Multiplication
Laws of expectation      151 152 154 155
Laws of variance      161 164 227 230
Lethal gene      118 125
level of significance      311 317 370
Life table      19 20 88 92
Life testing      401
Light      see "Velocity"
List of simple results      12 18 24
Loaded dice      13 64 90 233 see "Two"
Loaded die      90 231 233 393 398
Long-run frequency      9 13 18 250
Long-run stability      4 208 210
Lot sampling      78 219 234 239 374 379 see "Sampling" "Defectives"
Lot-sampling inspection      374
Lotions      see "Sun-Tan"
Lottery      144 152 158 see
Lottery model      see "Variance"
Lottery model (for sampling by variables)      144 152 158 164 261
Lottery model (for sampling by variables) as basis for Wilcoxon two-sample test      343 364 384 see "Hypergeometric
Lottery model (for sampling by variables) as model for outliers      290
Lottery model (for sampling by variables), approximation by repeated measurements model      236
Lottery model (for sampling by variables), comparison of two      273
Lottery model (for sampling by variables), covariance in      228
Lottery model (for sampling by variables), estimation of variance in      283 285
Lottery model (for sampling by variables), hypergeometric model as special case of      228
Lottery model (for sampling by variables), sample size in      262
Lottery model (for sampling by variables), stratification of      300
Lottery model (for sampling by variables), variance of sample mean in      227 262
Lottery model (for sampling by variables), weighted means in      289
Lunch counter      48
Lung cancer      see "Smoking"
Madison, J.      129
Main effect      297
Male births      7 191
Mann — Whitney test      347 see
Marginal distribution      220 222
Marginal distribution of multinomial distribution      234
Marksmen      171
Mass production      see "Defective"
Matched pairs      352 358 see
Matching      153 316
Matching distribution      205 208
Matching distribution in testing for randomness      310 313 316 385 see
Matching distribution, expectation of      153
Matching distribution, Poisson approximation for      207
Matching distribution, table of      206 208
Matching distribution, variance of      207 230
Matchings      see "Number"
Mathematical model      11
Mean rank method      363 365
Mean square deviation      159 see
Measured quantities      see "Comparison"
Measurement      4 265
Measurement, error      265
Measurement, model      266 401 see
Measurements      see "Repeated" "Several"
Measuring a distance      4
Median      22 149 291
Medical expenses      260
Mendel, G.      117
Mendelian theory      118 391
Method of indicators      153 170 175 178 216 361 see
Model      see "Binomial" "Hypergeometric" "Variance"
Model for ordered sampling      53 92 110
Model for repeated measurements      267 281 288 401 see "Double "Hypergeometric" "Lottery" "Probability
Model for sampling      42 261 269
Model for several measurements      266 278
Model for two-stage experiments      108 112
Model, factor      64
Model, mathematical      11
Model, measurement      266
Model, multinomial      231 321
Model, uniform      23
Moment of inertia      157
Multinomial distribution      232
Multinomial distribution in chi-square test      321
Multinomial distribution, marginal and conditional      234 235
Multinomial distribution, probability ratio test for      398
Multinomial, (trials) model      231 321 398
Multinomial, random variables      232
Multinomial, trials      81 84 231
Multiple hypergeometric distribution      219 234 235
Multiple-choice examination      168
Multiple-choice quiz      64
Multiplication law for probabilities      97 156
Multiplication law of expectation      154 157 see "Independent "Product
Neyman — Pearson fundamental lemma      396 399
Neyman, J.      v 304 308 396 399
Nonparametric tests      vii 331 see "Sign" "Wilcoxon
Normal approximation      190
Normal approximation in estimation problems      251
Normal approximation in hypothesis testing      318 378 380 395
Normal approximation, failure of      193
Normal approximation, to $\bar{X}$-test      402
Normal approximation, to binomial      191 210
Normal approximation, to Fisher — Irwin test      335
Normal approximation, to hypergeometric      192 380
Normal approximation, to Poisson      202
Normal approximation, to power      372 395 403
Normal approximation, to Wilcoxon      342 359 364 366
Normal curve      185 192
Normal curve, figure of      185
Normal curve, table for      416
Normal curve, use of table of      187
Normally distributed observations      405
Null distribution      see "Computation"
Null hypothesis      310 316
Number of arrangements      58
Number of boys in a two-child family      132 133
Number of combinations      47 see
Number of matchings      132 133 205
Number of matchings as sum of indicators      154 230
Number of matchings in testing for randomness      310 313 316 385 see
Number of matchings, expectation of      153
Number of matchings, variance of      207 230
Number of ordered samples      53 55 58
Number of ordered samples, table of      53
Number of permutations      53 see
Number of samples (or combinations)      42 47
Number of samples (or combinations), formulas for      51 54 59 60
Number of samples (or combinations), generalized      233
Number of samples (or combinations), tables of      42 48 412
Odds ratio      151 247
One-sample problem      360
One-sided test      390
Optimum, allocation      293 298 303 307
Optimum, test      396
Optimum, weights of weighted average      288 307
Ordered sample      52 see
Ordered sampling      52 58 92 110
Ordered sampling, equivalence law of      55 59 see
Outliers      290
Paired comparisons      330 352 357
PARAMETER      240 245 389
Part of an experiment      62
Pascal's triangle      48
Pearson, E.S.      396 399
Pearson, K.      321
Pennies      see "Tossing" "Two"
Penny and dime      70
Perception      see "Extrasensory"
permutations      53 see
Personal probability      127
Petersburg game      146
Physics by TV      327
pictures      see "Baby"
Placebo effect      337
Poetry quiz      385
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