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Good I.J. — Information, Weight of Evidence. the Singularity Between Probability Measures and Signal Detection
Good I.J. — Information, Weight of Evidence. the Singularity Between Probability Measures and Signal Detection

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Название: Information, Weight of Evidence. the Singularity Between Probability Measures and Signal Detection

Автор: Good I.J.

Язык: en

Рубрика: Математика/

Серия: Lecture Notes in Mathematics

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1978

Количество страниц: 176

Добавлена в каталог: 09.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$L_{2}$, $L_{2}(T)$      88
Absolute continuity between probability measures      18
Analytic function      68
Aronszajn, N.      128
Baker, C.R.      76 90 96
Balakrishnan, A.V.      13 14 87 90 102 106 107
Band-limited white noise      64
Belyaev, Yu.K.      65 67
Boltzmann, L.      14
Boverie, B.      122
Brieman, L.      51 60 61 63 70 71 74 106
Brillouin, L.      67
Cantor, G.      21
Capon, J.      121
Channel capacity      106
Clevenger, B.      iv
Compact operator      85
Complete $\sigma$-field      18
Complete Hilbert space      83
Complete orthonormal system in $L_{2}(T)$      89
Completely continuous operator      85
Completely deterministic process      63
Condon, E.U.      14
Correlation function      55
Courant, R.      88
Covariance function      54
Covariance stationary process      55
Cramer, H.      21 25 33
Cross-covariance function      55
Crum, M.M.      104 105
Davenport, W.B.      59 62 86 120
Determinant of an operator      85
Dinegentropy      41
Dirac-delta function      65
Distribution function, bivariate      21
Distribution function, bivariate, singularly continuous      21 23
Distribution function, univariate      21
Distribution function, univariate, absolutely continuous      21
Distribution function, univariate, discrete      21
Distribution function, univariate, singularly continuous      21
Divergence      44 47 51
Dobrushin, R.L.      14 31
Doob, J.L.      18 57 62 74
Doog, K.Caj.      36 65 66 76 77 79 80 90
Eigenelements      85
Eigenfunctions      86
Eigenvalues      85
Entropy, conditional      15 17
Entropy, continuous      15 30
Entropy, differential      16
Entropy, discrete      13
Equivalent probability measures      see "Parallel"
Ergodic process      62
Expected information      see "Entropy"
Expected mutual information      26 30 32 34 37 38 39 48 81 82 85 90
Expected mutual information, Rate of      77 98 108 109 110
Expected Weight of Evidence      39 40 41 43 46 49
Expected Weight of Evidence, Rate of      112 116
Fano, R.M.      101
Feldman, J.      95
Frequency response function      58
Functional      66 81
Gaarder, N.T.      122
Gaussian process      50 82
Gelfand, I.      27 28 29 30 31 32 48 66 81 82 83 84 85 90
Gladyshev, Ye.G.      97
Good, I.J.      9 10 11 12 16 36 41 43 78 79 80 90 110 126
Granger, C.      59
Gregg, W.D.      122
Grenander, U.      18 52 62 63 64 75 118 120
Hajek, J.      45 49 50 51 118
Hatanka, M.      59
Helstrom, C.      59 61 62
Hilbert space      83
Hilbert — Schmidt operator      92
Hilbert, D.      1 88
Hobson, E.W.      21
Idempotent operator      84
Impulse response function      58
Independence, asymptotic property      64
information      8
Information, conditional      9
Inner product      83
Integral operator      92
Jeffreys, H.      12 44 45
Jenkins, G.M.      59 60 67
Jorsboe, O.G.      1
Kadota, T.      120
Kailath, T.      120 121 122
Karhunen — Loeve representation theorem      119
Kelley, E.      120
Khintchine, A.Yu.      57
Kolmogorov, A.N.      16 17 31 50 63 74
Kullback, S.      11 41 46
Langevin linear system      61
Langevin, P.      61
Lathi, B.P.      59
Law of large numbers for random processes      58
Limit in the mean square      89
Linear filter      59
Linear predictor      71 75
Linear system      104
Linfoot, E.H.      33
Liu, J.W.      108
Loeve, M.      18 47 51
Lumped parameter system      59
Markov process      59 60
Martel, H.      59 121
Matthews, M.      59 121
Mean function      54
Mean power      57
Measurable function      18
Middleton, D.      103 121 129
Minsky, M.      11 41
Munroe, M.E.      21
Mutual information      10
Nagy, B.      84 88
Newstead, G.      105
Non-deterministic process      63 70
Non-random signals      115 120
Norm      83
Nyquist, H.      65
Odishaw, H.      14
Orthogonal system      82 86
Paley — Wiener criterion      73
Parallel probability measures      19
Parzen, E.      47 59 70 103 118 121 128
Peirce, C.S.      11 41
Perfect signal detection      69
Periodic band-limited white noise      66
Periodic components      56
Perpendicularity between probability measures      19
Pierre, P.      122
Pinsker, M.S.      14 30 31 32 40 41 61 74 98 99 101 109 112 116
Planck, N.      15 108
Positive-definite covariance function      88
Prediction error      70
Prediction error, linear      71 75
Predictor, minimum mean square error      70
Predictor, minimum mean square error, linear      71 75
Probability space      8
Product probability measure      22 47
Projection operator      84
Radon — Nikodym derivative      18
Reed, J.      120
Regular process      72 75
Reproducing Hilbert space      128
Reza, F.M.      15 26
Riemann, B.      49
Riesz, F.      84 88
Root, W.L.      59 62 86 87 90 120 127
Ross, M.      108
Self-adjoint operator      84
Selfridge, O.G.      11 41
Selin, I.      74 122
Shannon, C.E.      13 15 17 26 77 78 80 102 107 108
Singular process      73
Singularity, between probability measures      18 19
Singularity, between probability measures, joint and product probability measures      22 23 25
Slater, J.C.      13
Slepian, D.      95 127
Spectral analysis, density function      56
Spectral analysis, distribution function      56
Stationary process, covariance stationary      55
Stationary process, second order      55
Stationary process, stationary in the wide sense      55
Stationary process, strictly stationary      54
Stationary process, weakly stationary      55
Strongly parallel probability measures      93
Swerling, P.      127
Takahasi, H.      15
Time invariant system      60
Transfer function      58
Turing, A.M.      12 41
Vainshtein, L.A.      73 74 97 126
VARIANCE function      55
Watts, D.G.      59 60 67
Weight of evidence      11
White noise      54 85
Whittaker, E.T.      65
Wiener — Hopf equation      72
Wiener — Khintchine relations      57
Wiener, N.      57 59 74
Yaglom, A.M.      18 19 27 28 29 30 31 32 41 48 49 52 66 81 82 83 84 85 90 92 94 95 97 118
Zubakov, V.D.      73 74 126
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