Peebles P.Z. — Probability, random variables, and random signal principles :: Электронная библиотека попечительского совета мехмата МГУ

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Peebles P.Z. — Probability, random variables, and random signal principles

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Название: Probability, random variables, and random signal principles

Автор: Peebles P.Z.

Аннотация:

This concise introduction to probability theory carries on the success of previous editions, offering readers a logical, well-organized look at the fundamental of the subject — includes applications that strengthen engineers' grasp of probability concepts.

Язык:

Рубрика: Математика/Вероятность/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1987

Количество страниц: 349

Добавлена в каталог: 05.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Random process(es): narrowband      220
Random process(es): nondeterministic      147
Random process(es): nonstationary      147
Random process(es): orthogonal      154 161
Random process(es): periodic component in      153
Random process(es): power of      153 173 175
Random process(es): random telegraph      169
Random process(es): sample function of      143
Random process(es): second-order stationary      149
Random process(es): semirandom binary      162 296
Random process(es): stationary      147
Random process(es): statistically independent      148
Random process(es): strict-sense stationary      151
Random process(es): time correlation functions of      151—152
Random process(es): uncorrelated      156 161
Random process(es): variance of      156
Random process(es): wide-sense stationary      150 160—161
Random sequence: continious      146
Random sequence: discrete      146
Random signal      1
Random telegraph process      169
Random variable(s): auxiliary      140
Random variable(s): Cauchy      61
Random variable(s): central moments of      70 82 120—122
Random variable(s): characteristic function of      72 122
Random variable(s): coefficient of skewness      71
Random variable(s): complex      133
Random variable(s): conditions for      36
Random variable(s): continuous      37
Random variable(s): correlation coefficient      121 136
Random variable(s): correlation of      119
Random variable(s): covariance of      121 134
Random variable(s): defined      34 88 89
Random variable(s): discrete      37
Random variable(s): Erlang      85
Random variable(s): gaussian      43 81 119n. 124—128 130—133
Random variable(s): independent      100—102 133—134
Random variable(s): joint central moments of      120
Random variable(s): joint characteristic function of      122—124 138
Random variable(s): joint moments of      119 123 124
Random variable(s): lattice-type      106n.
Random variable(s): marginal characteristic functions of      123
Random variable(s): mean of      67—68 133
Random variable(s): median of      61
Random variable(s): mixed      37
Random variable(s): mode of      61
Random variable(s): moments of      69—70
Random variable(s): N-dimensional      89
Random variable(s): orthogonal      119 134
Random variable(s): Polsson      47 140
Random variable(s): Rayleigh      50 81
Random variable(s): skew      71
Random variable(s): standard deviation      70
Random variable(s): transformation of      74—80 128—130 130—133
Random variable(s): uncorrelated      119 134
Random variable(s): uniform      48 59
Random variable(s): variance of      70 133
Random variable(s): vector      88
Random variable(s): Weibull      85
Random vector      88 89
RANGE      58
Range sample space      88
Rational power spectrums      267
Rayleigh density function      50 336
Rayleigh density function, maximum value of      61
Rayleigh density function, mean of      81
Rayleigh density function, median of      61
Rayleigh density function, mode of      61
Rayleigh density function, variance of      81
Rayleigh distribution function      50 337
Rayleigh random variable      61
Rayleigh, Lord (John William Strutt)      50n.
Realizable linear system      210
Realization of a process      143
Rice density      337
rtm bandwidth      177—179 198 201
Sample function      143
Sample space      9
Sample space, combined      22
Sample space, continuous      9
Sample space, discrete      9
Sample space, joint      88
Sample space, range      88
Sampling function      326
Schwarz's inequality      259
Schwarz, Hermann Amandus      259n.
Scmirundom binary process      162 296
Second-order stationary random process      149
Series, table of      319
Set theory      2
Set(s): algebra of      7
Set(s): associative law of      7
Set(s): class of      3
Set(s): commutative law of      7
Set(s): complement of      6
Set(s): countable      3
Set(s): countably infinite      3
Set(s): defined      3
Set(s): difference of      5

Set(s): disjoint      3
Set(s): distributive law of      7
Set(s): elements of      3
Set(s): empty      3
Set(s): equality of      5
Set(s): finite      3
Set(s): infinite      3
Set(s): intersection of      6
Set(s): mutually exclusive      3
Set(s): null      3
Set(s): product of      6
Set(s): sum of      6
Set(s): uncountable      3
Set(s): union of      6
Set(s): universal      4
Set(s): Venn diagram of      5
Skew      70
skewness      70
Smoothing filter      263
Spectrum (Fourier transform)      72 173
Spot noise figure      234—235 249 250
Stable linear system      210
Standard deviation      70
Standard noise temperature      235
Standard source      235
Stationarily      see Random process
Statistical average      see Expected value
Statistical independence: by pairs      19
Statistical independence: of events      18—22
Statistical independence: of experiments      25
Statistical independence: of random processes      148
Statistical independence: of random variables      100—102 134
Subexperiments      22
Subset      3
Sums of random variables: density function of      102—105
Sums of random variables: distribution function of      102—105
Sums of random variables: mean of      118
Sums of random variables: variance of      122
System noise temperature      239
Tables: of definite integrals      318
Tables: of finite series      319
Tables: of Fourier transform pairs      329
Tables: of Fourier transform pairs of gaussian distribution function      314
Tables: of indefinite integrals      316—318
Tables: of trigonometric identities      315—316
Telegraph process      169
Thermal noise      187
Thevenin, Leon      227n.
Threshold      284 302 303
Time autocorrelation function      151
Time average      151
Time cross-correlation function      152
Time-domain analysis      172
Time-invariant system      207
Total probability      15
Transfer function: linear      77 130—133
Transfer function: monotonic      75—77
Transfer function: nonmonotonic      77—80
Transfer function: of phase-locked loop      290—292
Transfer function: of system      208 215
Transfer function: open-loop      285
Transfer function: square-law      78—79
Transformation of random variable(s)      74—80 128—130
Transition probability      18
Trial      8
Trigonometric identities, table of      115 116
Two-dimensional product space      88
Uncorrelated random processes      156 161
Uncorrelated random variables      119 134
Uncountable set      3
Uniform density function      48 139 337
Uniform density function, mean of      80 337
Uniform density function, variance of      80 337
Union of sets      6
Unit-impulse function      see Impulse function
Unit-step function: defined      38 311 312
Unit-step function: related to impulse function      311 312
Unit-step function: two-dimensional      311—312
Universal set      4
Variance: estimate of      167
Variance: of random process      156
Variance: of random variable      70 133
Variance: of sum of random variables      122
Vector random variable      88
Venn diagram      5
Venn, John      5n.
Voltage density spectrum      173
Weibull density      85 338
Weibull, Enst H.W.      85n.
While noise: autocorrelation function of      187
While noise: band-limited      188
While noise: defined      187
While noise: in system evaluation      214—215
While noise: power spectrum of      187
Wide-sense stationary random process      150 160—161
Wiener filter      262—266 288 307
Wiener filter transfer function of      265
Wiener filter, minimum mean-squared error of      266
Wiener — Khinchin relations      180
Wiener, Norbert      180 262n.

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