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| Поиск по указателям |
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| Hoel P. — Introduction to Mathematical Statistics |
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| Предметный указатель |
 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  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  and  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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