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| Gray R.M. — Probability, Random Processes and Ergodic Properties |
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| Предметный указатель |
Space, Euclidean 36
Space, Hilbert 53
Space, inner product 37 85
Space, metric 35
Space, normed linear 36
Space, pre-Hilbert 37
Space, standard 26
Space, standard measurable 40
Sphere, open 49
Standard Borel space 50
Standard diagonalization 38
Standard field 29 40
Standard measurable space 29 40
Standard probability space 80
Standard space 26
Standard spaces 25
State 11
Stationary 91
Stationary function 125
Stationary mean 123 131
Stationary, block 131
Strongly mixing 149
Subadditive 164 165
Subadditive ergodic theorem 164
| Subadditivity 18
Submartingale 118
subspace 32
Superadditive 182
Supermartingale 118
Suslin space 25
Symmetric difference 22
Tail  -field 136
Tail function 136
Tchebychev's inequality 76
Thin cylinders 34
Time average 81 82
Time averge 83
Time-averge mean 82
topology 50
Totally ergodic 159
Totally invariant 133
Trivial space 6
Two-sided random process 10
Uniformly integrable 77
Upper limit 70
Version of the conditional expectation 114
Vitali — Hahn — Saks Theorem 128
Wandering set 139
Weakly mixing 149
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