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Hoel P. — Introduction to Mathematical Statistics
Hoel P. — Introduction to Mathematical Statistics



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Название: Introduction to Mathematical Statistics

Автор: Hoel P.

Язык: en

Рубрика: Разное/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd

Год издания: 1962

Количество страниц: 441

Добавлена в каталог: 26.02.2017

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\chi^{2}$      see "Chi-square distribution" "Chi-square
Addition theorem      9
Analysis of variance      299
Analysis of variance, components of variance model      307
Analysis of variance, estimation in      311
Analysis of variance, generalizations in      313
Analysis of variance, linear hypothesis model      300
Array distribution, continuous variables      193
Array distribution, discrete variables      28
Array distribution, normal variables      200
Asymptotic distribution      234
Average outgoing quality limit      324
Bayes methods      367 369
Bayes solutions      369
Bayes' formula      16
Bernoulli distribution      86
Best estimate      232 381
Bias      229
Binomial distribution      86
Binomial distribution, moment generating function      89
Binomial distribution, Moments      87
Binomial distribution, normal approximation      104
Binomial distribution, Poisson approximation      91
Binomial distribution, sketch      91
Binomial index of dispersion      257
Cauchy distribution      79
Central limit theorem      145
Change of variable      119 121
Chi-square distribution      122 153
Chi-square distribution, additive property of      268
Chi-square distribution, applied to variances      268
Chi-square distribution, moment generating function      154
Chi-square test      244
Chi-square test for contingency tables      253
Chi-square test for curve fitting      250
Chi-square test for indices of dispersion      255
Chi-square test, generality of      249
Chi-square test, limitations on      247
Class mark      66
Classification of data      65
Coefficient, correlation      163 196
Coefficient, regression      171 279
Combinations      18
Combinatorial formulas      17
Components of variance      307
Composite hypothesis      213
Conditional distribution, continuous      193
Conditional distribution, discrete      28
Conditional distribution, normal      200
Conditional expected value      323
Conditional probability      11
Confidence coefficient      237
confidence intervals      234
Confidence limits      236
Confidence limits for means      275 277
Confidence limits for proportions      239
Confidence limits for regression coefficients      279
Confidence limits for variances      270
Consumer's risk      320
Contingency tables      252
Continuous frequency function      32 35
Continuous random variable      33 189
Control chart for means      146
Control chart for proportions      114
Correlation coefficient, calculation of      165
Correlation coefficient, empirical      163
Correlation coefficient, estimation of      203
Correlation coefficient, interpretation of      164
Correlation coefficient, properties      375
Correlation coefficient, reliability      166
Correlation coefficient, theoretical      196
Correlation, linear      160
Correlation, serial      341
Covariance      196
Cramer — Rao inequality      379
Critical region      48
Critical region, best      214
Critical region, size of      52
Cumulative distribution function      23
Curve fitting      169 175 177
Curve fitting, chi-square test for      250
Curve of regression      194
Curvilinear regression      175
Defective, fraction      319
Degrees of freedom      153
Design, statistical      297
Deviation, mean      78
Deviation, standard      73 83
Difference, of two means, confidence limits for      277
Difference, of two means, distribution of      146 277
Difference, of two means, of two proportions      148
Difference, of two means, testing      277 279
Discrete frequency function      22
Discrete random variable      32
Discriminant function, linear      179
Dispersion, indices of      255
Distribution chi-square      122 153
Distribution conditional      28 193
Distribution function      23
Distribution function for continuous variables      37 189
Distribution function for discrete variables      23
Distribution hypergeometric      116
Distribution normal      99
Distribution of a correlation coefficient      167
Distribution of a function of a variable      262
Distribution of means      139 145
Distribution of number of successes      109
Distribution of proportions      110
Distribution of runs      339
Distribution of sums of ranks      333
Distribution of sums of squares      266
Distribution of the difference of two means      147
Distribution of the difference of two proportions      149
Distribution of the range      291
Distribution of the variance      268
Distribution, binomial      86
Distribution, Poisson      90
Distribution, rectangular      97
Distribution, t      274
Distribution, uniform      97
Distribution-free methods      329
Error, probable      141
Error, radial      154
Error, size of      49
Error, standard      141
Error, two types of      48
Estimate, best      232
Estimate, maximum likelihood      58 233
Estimate, minimax      368
Estimate, unbiased      228
Estimation      56 228
Estimation by confidence intervals      234
Estimation in analysis of variance      311
Estimation of $\rho$      203
Estimation of regression parameters      207
Estimation, maximum likelihood      58
Estimator      58
Event space      5
Events      6
Events, independent      11
Events, mutually exclusive      9 10
Expected value      133 135
Expected value, conditional      323
Expected value, properties of      135
Extreme values, distribution of      290
F distribution      285
F distribution for analysis of variance      304 310
F distribution for testing equality of two variance      285
F distribution, sketch of      286
F distribution, use of tables for      286
Factorial function      153
Fraction defective      114 319
Fraction defective, lot tolerance      319
Frequency curve fitting      250
Frequency function      22
Frequency function, Bernoulli      86
Frequency function, binomial      86
Frequency function, Cauchy      79
Frequency function, chi-square      153
Frequency function, conditional      28
Frequency function, continuous      32 35
Frequency function, discrete      22
Frequency function, F      285
Frequency function, hypergeometric      116
Frequency function, joint      24
Frequency function, marginal      28
Frequency function, multinomial      118
Frequency function, normal      99 198
Frequency function, Poisson      90
Frequency function, rectangular      97
Frequency function, Student's t      274
Function, distribution      23
Function, distribution, frequency      22
Function, distribution, gamma      153
Function, distribution, likelihood      57
Function, distribution, moment generating      84 96
Function, distribution, power      54
Gamma function      153
Gaussian distribution      99
Geometric mean      78
Goodness of fit      244
Goodness of fit, degrees of freedom for      250
Goodness of fit, likelihood ratio test for      376
Goodness of fit, testing      245 347
histogram      33
Homogeneity of means      301
Homogeneity of proportions      257
Homogeneity of variances      225
Hypergeometric distribution      116
Hypothesis, composite      213
Hypothesis, simple      213
hypothesis, statistical      46
Hypothesis, test of      47 212
Independence of $\={x}$ and $s^{2}$      383
Independent events      11
Independent random variables      26
Independent random variables, sum of      138
Indices of dispersion      255
Inductive inference      45
Inspection, minimum      321
Inspection, sampling      318
Jacobian      381
Joint frequency function      24
Joint frequency function for continuous variables      38
Joint frequency function for discrete variables      24
Kolmogorov — Smirnov statistic      345
Least squares      169
Likelihood function      57
Likelihood ratio tests      220 222 376
Limits, confidence      236
Linear discriminant function      179
Linear hypothesis      300
Linear regression, multiple      172 208
Linear regression, simple      168 171
Location, measures of      70
Loss function      368
Lot tolerance fraction defective      319
Marginal distribution, continuous      191
Marginal distribution, discrete      28
Marginal distribution, normal      199
Maximum likelihood estimate      58
Maximum likelihood estimate, properties of      234
Mean deviation      78
Mean, best estimate of      381
Mean, computation of      71
Mean, confidence limits for      275
Mean, control chart for      146
Mean, distribution of      139 145
Mean, empirical      70
Mean, theoretical      83
Means, difference of two      147 276
Median      77
Median, test for      333
Minimax estimate      368
Minimum single sampling      321
MODE      78
Model, components of variance      307
Model, linear hypothesis      300
Model, mathematical      45
Moment generating function      84 96
Moment generating function of sum of independent variables      138
Moment generating function, properties of      97
Moment generating function, relation to frequency function      108
Moments of multivariate distributions      135
Moments, empirical      70 73
Moments, Product      196
Moments, theoretical      83 95
Multinomial distribution      118
Multiple classification      363
Multiple decision methods      352
Multiple linear regression      172 208
Multiple regression coefficients      172 208
Multiple regression coefficients, confidence limits for      283
Multiplication theorem      11
Multivariate distributions      133
Neyman — Pearson lemma      214
nonparametric methods      329
Nonparametric methods, Kolmogorov — Smirnov statistic      345
Nonparametric methods, rank sum test      333
Nonparametric methods, runs      335
Nonparametric methods, serial correlation      341
Nonparametric methods, sign test      330
Normal correlation      203
Normal curve, standard      103
Normal distribution, of one variable      99
Normal distribution, of one variable, approximation to binomial      104 109
Normal distribution, of one variable, fitting to histograms      102
Normal distribution, of one variable, moment generating function      101
Normal distribution, of one variable, moments of      99
Normal distribution, of one variable, properties of      101
Normal distribution, of one variable, sketch of      99
Normal distribution, of one variable, standard      103
Normal distribution, of two variables      198
Normal distribution, of two variables, conditional distribution for      200
Normal distribution, of two variables, geometry of      202
Normal distribution, of two variables, marginal distribution for      199
Normal equations of least squares      174
Normal regression      205
Normal surface      201
Orthogonal polynomials      176
Peakedness, measure of      77
Percentage defective      319
Percentages, difference of      149
Percentages, distribution of      110
permutations      17
Permutations for some elements alike      19
Plane of regression      173
Poisson distribution      90
Poisson distribution, approximation to binomial      91
Poisson distribution, sketch      91
Poisson index of dispersion      257
Polynomial regression      175
Polynomials, orthogonal      176
Population      64
Power curve      54
Power function      54
probability      4
Probability ratio test      354
Probability, addition theorem      9
Probability, conditional      11
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