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| Авторизация |
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| Borovskikh Y.V. — Random permanents |
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| Предметный указатель |
 -measure 27 125 126
Asymptotic analysis 3 6 61
Asymptotic behaviour 88 136
Asymptotic behaviour of permanent 61
Asymptotic estimate 72 84 128
Asymptotic expansion 77
Asymptotic normality 176
Asymptotic property 126
asymptotic relations 149
Asymptotic representation 54 63 64 141 142 146 148 149
Asymptotic representation of the coefficient 87
Bernoulli random element 64 65
Bernoulli random variable 25 27 61
Bernoulli sample 45 46 63
Bernoulli scheme 61
Bootstrap, permanent 172
Bootstrap, permanent measure 173
Bootstrap, permanent sample 172
Bootstrap, sample 6 172 173
Bootstrap, sampling function 172
Bootstrap, symmetric statistics 173
Bootstrap, variable 167 175
Cauchy formula 17—19 42 78
Cauchy integral 42 80
Centered Poisson measure 29 36 37 118
Centered random -measure 31
Central limit theorem 122 147 178
Characteristic function 107 108 132 133
Charlier representation 36
Charlier stochastic polynomial 3 105
Charlier — Poisson functional stochastic polynomials 50
Charlier — Poisson functionals with degenerate kernels 58
Charlier — Poisson polynomial 26
Charlier — Poisson stochastic polynomial 26—28 34 46 135
Composition method 106 133
Composition method, permanent variant 107
Counting measure 30 31 33 49 126
Counting measure, permanent multiple centered 31
Counting random measure 40
Covariance function 98
Decomposition 19 21 22 106
Decomposition, formula 7 10 12 19 23 27 136 137 141 146—150 153 154 158 175
Decomposition, representation 142
Degenerate kernel 24 37 101 105
Deterministic kernel 103
Dirac measure 97
Dirac permanent measure 97 98 100
Distribution function 121
Fourier coefficient 105
Fourier series 104
Frequency representation for the permanent 62
Functional sampling matrix 33 176
Functionals with shift 50
Gaussian approximation 136 157
Gaussian approximation scheme 135 155
Gaussian measure 98 133
Gaussian permanent measure 98 99
Gaussian random measure 98
Gaussian random variable 158
Generating function 7 12 31 33 36—38 40 46 66 72 144 151 176
Generating function of the Appell — Wick polynomials 73
Generating function of the Hermite polynomial 65 69
Generating multiple sampling function 32 68
Generating sampling function 26 28 36 61 65 66 154
Hermite polynomial 64 136 168 171
Hoeffding decomposition formula 120 123 124 128
Ito — Poisson formula 129
Ito — Poisson integral 36 37 40
Ito — Poisson stochastic integral 24 29 126
Ito — Wiener stochastic integral 104
Kernel 37
L-statistics 176 178
Laplace decomposition formula 7 138
Laplace formula 8 9 11 22 109
Martingale difference 6 167 169 171
Martingale permanent 167
Matrix 7
Matrix algebra 3 5
Mixed approximation condition 141 152 153
Mixed sampling permanents 133
Mixture approximation condition 142
Multiple functional matrix 24 37 38
Multiple functional matrix, sampling matrix 10 11 15 19 30 31 92
Multiple functional matrix, stochastic integral 102
Multiple sample 68 77 85
Multiple sampling permanent random process 92
Normal approximation 149
Normal approximation, condition 147 152
Order permanent 176
Permanent 5 7 9 19 24 31 39 40 56 111 137
Permanent as a Cauchy integral representation 80
Permanent of multiple sampling matrix 78 80
Permanent of sampling matrix 28
Permanent, approach 176
Permanent, counting measure 27 28 38
| Permanent, functional 33 35
Permanent, functional, with shift 54
Permanent, generating function 46
Permanent, measure 129 176
Permanent, multiple counting measure 29 30
Permanent, multiple functional 36 38 39 58
Permanent, multiple sampling 77
Permanent, normalised 64
Permanent, random, -measure 126
Permanent, random, measure 3 5 97 100 102 176
Permanent, symmetric, statistics 97 100 102 107 176
Permanent, with shift 45 51
poisson 25 40
Poisson, approximation 155
Poisson, approximation, condition 26 28 31 34 38 39 45 46 49 105 119 135 144 147 149 152 156
Poisson, approximation, scheme 24 25 28 31 32 51 119 126 127 135 155 156
Poisson, approximation, weak convergence 45
Poisson, centered measure 36
Poisson, law 100
Poisson, measure 37 41 126
Poisson, permanent measure 100
Poisson, random measure 28 40 49 100 118 129
Poisson, random variable 135
Poisson, stochastic integral 104 105
Primitive kernel 121 128
Radon finite measure 152
Radon measure 27 49 126
Random -measure 30
Random Bernoulli variable 25 27
Random element 24
random matrix 132
Random measure, Gaussian 107
Random measure, infinitely divisible 107
Random measure, Poisson 107
Random permanent 3 6 25 26 28 58 177 178
Random permanent, measure 132
Random variable 25 27 40 42 61
Random variable, centered 28
Rate of convergence 155 156 158
Representation of Appell — Wick polynomials 73
Representation of coefficient 87
Representation of frequencies 63
Representation of generating function 31 34 37 176
Representation of generating sampling function 27 65
Representation of Ito — Poisson stochastic integral 29
Representation of permanent 20 40 76 80 86 138 141
Representation of permanent measure 30 99
Representation of permanent of the mixed matrix 140
Representation of sample 141
Representation of sampling function 173
Representation of sampling matrix 64
Representation of symmetric statistics 3 6 100 101 105
Representation of the moment of permanent 99
Representation of the permanent of matrix 46
Representation of the permanent process 92
Representation of U-statistics 3 122 127
Sampling with Bernoulli random elements 64
Sampling with replacement 172
Sampling, accumulated frequencies 62
Sampling, functional matrix 33 40
Sampling, matrix 7 10 25 28 51 135—137 140 157 167
Sampling, permanent 75 167
Shift 50
Shift, centered 49
Shift, decomposition 16 18 20
Shift, decomposition formula 32 35 39 55
Shift, decomposition of permanent 16 19
Simple sample 27 83 97
Simple sampling 5
Stable, approximation scheme 42 58 131
Stable, distribution 42 132
Stable, law 42
Stable, measure 133
Stable, random variable 42 43
Standard Wiener process 95
Statistical image 24 27 35 37 46 50 102 105
Statistical image of Appell — Wick polynomials 80
Statistical image of the Hermite polynomial 65
Statistical image of the Ito — Poisson stochastic integral 39
Stochastic Charlier polynomial 105
Stochastic Charlier — Poisson polynomial 26—28 34 135
Stochastic Ito — Poisson integral 118 119
Stochastic Kravchuk polynomial 65 63 66
Stochastic Poisson integral 105
Stochastic Wiener — Ito integral 107
Symmetric function 108 173
Symmetric kernel 39
Symmetric polynomial 5 7 42 139
Symmetric statistics 95 103—106
Theory of permanents 3 5
Theory of symmetric statistics 3
Theory of U statistics 3
U-statistics 3 5 101 115 116 120—122 124 126 127
Weak convergence 6 26 31 39 49 50 75 104—107 118 123 124 126 128 130 132 135 136 143 151 153—155 167 170 177
Weak limit 28 36 38 138
Wiener random measure 102 123
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