Spiegel M.R. — Schaum's outline of theory and problems of probability and statistics :: Электронная библиотека попечительского совета мехмата МГУ

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Spiegel M.R. — Schaum's outline of theory and problems of probability and statistics

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Название: Schaum's outline of theory and problems of probability and statistics

Автор: Spiegel M.R.

Аннотация:

This book gives theory and solved problems for a combined course in probability and mathematical statistics. A calculus background is employed. The first half of the book itself serves as a supplement to the study of probability.

Язык:

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 372

Добавлена в каталог: 10.06.2005

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Предметный указатель

Sure event      5
t distribution      see "Student's t distribution"
tally      177 184
Taylor series      80
Tests of hypotheses and significance      211—257
Tests of hypotheses and significance for correlation coefficient      267 268
Tests of hypotheses and significance for large samples      213 214
Tests of hypotheses and significance for predicted mean values      267
Tests of hypotheses and significance for predicted values      266
Tests of hypotheses and significance for regression coefficients      266 289 290
Tests of hypotheses and significance for small samples      215 216
Tests of hypotheses and significance for variances      216
Tests of hypotheses and significance, involving chi-square distribution      216 218 219 231
Tests of hypotheses and significance, involving differences of means      214 215 226—228
Tests of hypotheses and significance, involving differences of proportions      215 226—228
Tests of hypotheses and significance, involving F distribution      216 231 232
Tests of hypotheses and significance, involving means      213—215 221—225
Tests of hypotheses and significance, involving normal distribution      212 213
Tests of hypotheses and significance, involving proportions      214 221—225
Tests of hypotheses and significance, involving ratios of variances      216
Tests of hypotheses and significance, involving Student's t distribution      215 216 229—231
Tests of hypotheses and significance, relationship of to estimation theory      217
Three-way classification or three-factor experiments      332 333
Total variation      263 265 281 282 284 285
Total variation in analysis of variance      307 311 317 318
Total variation, degrees of freedom for      309 312
Transformation, invariance under      260 264 272
Transformed variables      258
Translation of axes      260
Treatment effects      312
Treatment means      306
Treatments      306
tree diagrams      9 10 21
Trend values      293 294
Trial, Bernoulli      108
Trimodal distribution      84
Two-factor experiments      310 311
Two-factor experiments with replications      313—315 324—327
Two-factor experiments, notation for      311
Two-factor experiments, variations for      311
Two-tailed tests      213
Two-way classification experiments      see "Two-factor experiments"
Two-way classification tables      219
Two-way classification tables in analysis of variance      310 311 322—327

Type I and Type II errors      212 221 222
Unbiased estimate      160 198 199 263 308 312 318
Unbiased estimator      160 194
Uncorrelated random variables      82
Unexplained variation      263 266 281 282 281 285
Uniform distribution      114 133
Uniformly distributed random variables      114
Union of sets      2
Uniqueness theorem for characteristic function      81 82
Uniqueness theorem for moment generating function      80
Units or dimensions      78
Universal set      2 4
Universe of discourse      2
Variance      78 88 89
Variance for a set of numbers      78
Variance for joint distributions      81 82
Variance of binomial distribution      109 123
Variance of F distribution      117
Variance of normal distribution      111
Variance of Poisson distribution      112
Variance of sampling distribution of means      158
Variance of Student's t distribution      117
Variance, as second moment      79
Variance, computation of for grouped data      164 165 179—183
Variance, conditional      83 94
Variance, pooled      216
Variance, sample      see "Sample variance"
Variations for two-factor experiments      311
Variations, between and within treatments      307 317 318
Variations, between columns or blocks      311
Variations, between rows or treatments      311
Variations, degrees of freedom for      309
Variations, distributions of      309
Variations, expected values of      308 309
Variations, explained and unexplained      263 266 281 282 284 285
Variations, shortcut methods for obtaining      307
Venn diagrams      2
Weak law of large numbers      see "Law of large numbers"
Weibull distribution      119 142
Well-defined sets      1
x-axis      2
x-axis, intercept on      260
Yates' correction for continuity      220 240 242 244
Z transformation, Fisher's      267

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