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| Авторизация |
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| Aitken A.C. — Statistical mathematics |
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| Предметный указатель |
Addition theorem 13
Additive variate 19 64
Aggregate 10
Algebra of probability 15
Alionation 96
Analysis of variance 54 136—140
Arithmetic mean 30 36 108 109
Arithmetic mean, weight of 109
Authors cited, Bernoulli 50
Authors cited, Bowley 73 75 76 147
Authors cited, Brunt 124
Authors cited, Cauchy 70 71 78 79 133
Authors cited, Charlier 50 54 55 125 128 129
Authors cited, Clopper 127
Authors cited, Colcord and L.S. Doming 136
Authors cited, Coolidge 53 54 55
Authors cited, Copeland 9
Authors cited, Cramer 72
Authors cited, David 142
Authors cited, Doerge 9
Authors cited, Elderton 68
Authors cited, Euler 44
Authors cited, Fisher, E.A. 54 79 92 94 103 105 133—136 138 142 143 144
Authors cited, Frechet 9
Authors cited, Galton 89 99 104 105
Authors cited, Gauss 57
Authors cited, Gillespie 61 71
Authors cited, Gosset 132
Authors cited, Helmert 130
Authors cited, Kapteyn 69
Authors cited, Kendall 25
Authors cited, Keynes 5
Authors cited, Kolmogoroff 9
Authors cited, Legendre 107
Authors cited, Lerch 128
Authors cited, Lexis 52 100
Authors cited, Maclaurin 44
Authors cited, Pearson, E.S. 127
Authors cited, Pearson, K. 37 67—69 71 72 95 100 101 104 128
Authors cited, Poisson 50 51 52 59
Authors cited, Rutherford and Geiger 77 78 103
Authors cited, Sheppard 39 44—47 73 76 94
Authors cited, Tchebychef 115
Authors cited, von Mises 9
Authors cited, Wald 9
Authors cited, Whittaker and Robinson 122 124 145
Authors cited, Yates 105 142 144
Authors cited, Yule 25 106
Authors cited, Yule and Kendall 25
Averages 29 30
Axiomatization 3 4
Bernoullian variance 49 50—54
beta function 71 72
Binomial correlation 82 83
Binomial distribution 49 58 125 133
Binomial distribution of Poisson 50 51 58
Binomial distribution, approximations to 59—61 63
Bivariate distribution 80 86 94 95
Bivariate distribution, generating function 83 84
Blocks, randomized 138 140 141 142
Central factorial moments 43 44 146 147
Central factorials 145 146
Change of origin and scale 23 60
Change of variate 69 135 136 142
Classification 2 5
Coefficient of correlation 86—87 90—93 113—114
Coefficient of perturbation 55
Coefficient, regression 112
Complementary event 13
Complementary event, probability 13
Compound probability 14 15
Computation of moments 39—43
Contingency table 82 83 99 100 102 104 105
Corrections, Sheppard's 39 44—47 73 76 94 142
Correlation 80—103 111 112 113 114 148
Correlation, binomial 82 83
Correlation, coefficient of 86 87 90—93 112—114
Correlation, hypergeometric 84
Correlation, non-linear 95—98
Correlation, non-metrical 99—105
correlation, partial 113 114
Correlation, Poissonian 94 95
Correlation, ratio 95—99
Correlation, surface 82 88
Correlation, table 89—93
Correlation, total 112 113 114
Covariance 84
Criteria of homogeneity 54 55
Cumulant 22 23 32 61 64 65 70 128
Cumulant, factorial 23 64
Cumulant, generating function 22 64 65 67 70
Degrees of freedom 102 103 123 130 131 133 134 137—140 143
Density, probability 16 143
Dependence, functional 88 148
Dependence, linear 101 102 103 130 148
Dependence, statistical 13 14 15 87 88 102 130 148
Dependent events 15 16 56
Deviation, mean absolute 32
Deviation, standard 35 37
Difference of means 134
Differences, finite 59 67 115 118 119 145 146
dispersion 32 34 35
Dispersion, residual 96
Distribution, binomial 49 58 125 133
Distribution, binomial of Poisson 50 51 58
Distribution, bivariate 80 86 94 95
Distribution, Coolidge 53—55
Distribution, frequency 26
Distribution, Gamma type 69 72 102 128
Distribution, Helmert's 130
Distribution, hypergeometric 56 57
Distribution, J-shaped 27 64
Distribution, leptokurtic 38
Distribution, Lexian 53 54 55 72
Distribution, multinomial 55 101
Distribution, multivariate 80 101
Distribution, normal 58—62 72 73 74
Distribution, normal correlated 86—89 101 113
Distribution, of  101 102
Distribution, of Fisher's z 135 136 138
Distribution, of r 92 142 143
Distribution, of Student's t 131—134 143 148
Distribution, of sum of squares 69 129
Distribution, of variance estimate 130—131
Distribution, Pearsonian system 67—71
Distribution, platykurtic 38 71 127 133
Distribution, Poisson 58 59 63 64 66 77 78 103
Distribution, Poisson correlated 94 95
Distribution, probability 26
Distribution, rectangular 48 79
Distribution, sampling 92 125—127 133
Distribution, skew 27 31 36 37 58 69 72 127 131
Distribution, symmetrical 27 61
Distribution, trivariate 80 112 113
Distribution, Type A 58 59 64 65 66 67 73 75 76
Distribution, Type B 58 59 66 67 73 76 77 78
Distribution, Type I 71 72
Distribution, Type III 69 72 102 128 129 130 131
Distribution, U-shaped 27 69 142
Dot diagram 80
Ellipse, probable 88
Empirical formula for  104
Equal likeliness 10 11
Equations, normal 110 114 115 116 121
Error function 62 73 74 76 144 147
Error of mean 128
Error of moments 39 126
Error of r 92 143
Error of sampling 39 92 126—129 131 143
Error of variance estimate 129—131
| Error, probable 35
Error, standard 39 92 126—129 131 143
Errors and residuals 107 108
Estimation from sample 78 79 143
Euler — Maclaurin formula 44
Events 5 6
Events, dependent 13 15
Events, independent 13 14 15 18
Events, mutually exclusive 13 18
Excess 38 63 131
Expectation, mathematical 21
Factorial cumulant generating function 64
Factorial cumulants 23 64
Factorial moment generating function 22 49 63 84 85
Factorial moments 21 22 41 49 63 84 85 146 147
Factorial polynomials 21 145 146
Factorials and powers 147
Factorials, central 145 146
Finite differences 59 67 115 118 119 145 140
Finite sums 40—43 146
Fitting of harmonic function 120—123
Fitting of polynomial 114—120
Fitting of probability curves 73—78 143
Formulae of interpolation 145 146
Fourfold table 82 85 94 95
Fourier, transform 22
Frequency polygon 28
Frequency, marginal 82 100 102
Frequency, relative 4 5 7 26 60
Function, probability see "Distribution"
Functional dependence 88 148
Gamma type see "Distribution"
Generating function 15 16 17 19 148
Generating function, bivariate 53 84
Generating function, change of origin and scale in 23
Generating function, cumulant 22 64 65 67 70
Generating function, factorial cumulant 64
Generating function, factorial moment 22 49 63 84 85
Generating function, moment 20—24 60 65 69 75 84 85 86 101 113
Generating function, multiplication theorem 19 22
Goodness of fit 76 78 100—103 104
Gregory — Newton formula 145
Harmonic regression 81 120—123
Helmert's distribution 130
histogram 28
Homogeneity, criteria of 54 55
Hypergeometric correlation 84
Hypergeometric distribution 56 57
Independence, functional 88 148
Independence, linear 101 148
Independence, statistical 87 148
Independent events 13 14 15 18
Independent frequencies 102 103
Inductive synthesis 3
Integral, probability 62 72 73 133 144 147
Interpolation formulae 145 146
J-shaped curve 27 64
kurtosis 38 63 131 133
Latin square 139—142
Least squares 95 100—108 110 111
Leptokurtic 38
Lexian ratio 55
Lexian variances 53 54 72
Likelihood, maximum 143
Likeliness, equal 10 11
Limit of relative frequency 7 8
Limits of r and  87
Linear dependence 101 102 103 130 118
Linear function, of moments 36 37
Linear regression 88 89 106 112
Logic, algebra of 5
Maximum likelihood 143
Mean absolute deviation 32
Mean central factorial 145
Mean square contingency 104—105
Mean square, distribution of 129
Mean, median and mode 30 31 37
Measure of aggregate 10
Median 30 32—34
Minimum variance, principle of 143
Moments 20 31 37 38 see "Generating
Moments, computation of 39—43
Multinomial distribution 55 101
Multiplication theorem 14 15 19
Mutually exclusive events 13 18
Non-linear regression 95 114
Non-metrical correlation 99—105
Normal curve see "Distribution"
Normal equations 110 114—116 121
Optimal values 108 109
Origin, change of 23 29
Orthogonal functions 116 120 124
Orthogonal polynomials 115 116 120 124
Parameters, estimate of 78 79 143
Partial correlation 113 114
Pearson curves 67—71
Pearsonian coefficient r 86 87 90—93
Periodic regression 81 120—123
Perturbation, coefficient of 55
Phase aggregate 10 12 14
Platykurtic 38 71 127 133
Poisson binomial see "Distribution"
Polynomial regression 81 114 116—120
Polynomial, factorial 21 145 146
Population 24 25
Powers and factorials 147
PRECISION 107 108
Preparation of normal equations 110
Prismogram 81
probability 4—12
Probability of dependent events 15
Probability, a priori 6 9
Probability, as limit of relative frequency 7 8
Probability, as measure of sub-aggregate 10 12
Probability, complementary 13
Probability, continuous 12
Probability, curve 27
Probability, definition 6 9 12
Probability, density 16
Probability, distribution see "Distribution"
Probability, function 16
Probability, fundamental theorems 13 14 15
Probability, integral 62 72 73 133 144 147
Probability, marginal 82 100 102
Probability, parameters 29 30
Probability, polygon 28
Probability, total 13 82
Probable error 35
Product-moment 84 86 87 90
Provisional mean 39
Quartiles 34 35 37
Randomized blocks 138 140 142
Randomness 9
RANGE 35 36
Ratio of variates 135
Ratio, correlation 95—99
Ratio, Lexian 55
Ratio, Student's 131 134 143 148
Rectangular distribution 48 79
Regression 80—82 88 89 95 106 112—124
Regression, coefficients 112
Regression, lines and planes 88—89 106 112
Relative frequency 4 5 7 26 60
Replacement, sampling without 56
Residual 108
Residual, dispersion 96
Residual, variance 109 119 123
Sample 24 25 86 107 125—135
Sample, estimation from 78 79 143
Sampling distribution 92 125—135 143 148
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