MARC record from Internet Archive

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001 ocm00527708
003 OCoLC
005 20200324170930.0
008 711216s1965 nyua b 000 0 eng
010 $a 64022956
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019 $a562925741$a759480482$a977886911
020 $a0070484481
020 $a9780070484481
035 $a(OCoLC)527708$z(OCoLC)562925741$z(OCoLC)759480482$z(OCoLC)977886911
050 00 $aQA273$b.P2
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060 4 $aQA 273 P218p 1965
080 $a530.13/.16 K5
080 $a519.2.P21
082 04 $a519.1
084 $a31.70$2bcl
100 1 $aPapoulis, Athanasios,$d1921-2002.
245 10 $aProbability, random variables, and stochastic processes.
260 $aNew York,$bMcGraw-Hill$c[©1965]
300 $axi, 583 pages$billustrations$c23 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
340 $m8vo.$2rdabf
490 1 $aMcGraw-Hill series in systems science
530 $aAlso issued online.
504 $aIncludes bibliographical references.
505 0 $aProbability and random variables. The meaning of probability: Preliminary remarks ; The various definitions of probability ; Determinism versus probability -- The axioms of probability: Set theory ; Probability space ; Conditional probabilities and independent events ; Summary -- Repeated trials: Combined experiments ; Bernoulli trials ; Asymptotic theorems ; Generalized Bernoulli trials ; Bayes' theorem in statistics -- The concept of a random variable: Random variables, distributions, densities ; Examples of distribution and density functions ; Conditional distributions and densities ; Bayes' theorem in statistics (reexamined) -- Functions of one random variable: The concept of a function of one random variable ; Determination of the distribution and density of y = g(x) ; Applications ; Expected value, dispersion, moments ; Characteristic functions -- Two random variables: Joint distribution and density functions ; Conditional distributions and densities ; Independent random variables ; Jointly normal random variables -- Functions of two random variables: One function of two random variables ; Two functions of two random variables ; Expected value, moments, characteristic functions ; Mean-square estimation, the orthogonality principle ; More on normal random variables -- Sequences of random variables: General concepts ; Mean, mean-square estimation, moments, characteristic functions ; Applications ; Normal random variables ; Convergence concepts and the law of large numbers ; The central-limit theorem.
505 0 $aStochastic processes. General concepts: Introduction remarks ; Special processes ; Definitions ; Stationary processes ; Transformation of stochastic processes (systems) ; Stochastic continuity and differentiation ; Stochastic differential equations ; Stochastic integrals, time averages, ergodicity -- Correlation and power spectrum of stationary processes: Correlation ; Power spectrum ; Linear systems ; Hilbert transforms, shot noise, thermal noise ; Mean-square periodicity and Fourier series ; Band-limited processes ; An estimate of the variation of a band-limited process -- Linear mean-square estimation: Introductory remarks ; The orthogonality principle in linear mean-square estimation ; The Wiener-Kolmogoroff theory ; The filtering problem ; The prediction problem ; Wide-sense Markoff sequences and recursive filtering -- Nonstationary processes; transients in linear systems with stochastic inputs: Transients in linear systems with stochastic inputs ; Two-dimensional Fourier transforms ; Time averages -- Harmonic analysis of stochastic processes: Series expansions ; Approximate Fourier expansion with uncorrelated coefficients ; Fourier transforms of stochastic processes ; Generalized harmonic analysis -- Stationary and nonstationary normal processes: General remarks ; Stationary processes ; Detection ; The zero-crossing problem ; Conditional densities and mean-square estimation ; Bandpass processes ; The Wiener-Levy process -- Brownian movement and Markoff processes: Langevin's equation ; Motion of a harmonically bound particle ; Markoff sequences ; Markoff processes -- Poisson process and shot noise: Poisson distributions ; Random points in time ; Shot noise ; Densities and characteristic functions ; High-density shot noise ; Square-law detection of shot noise.
650 0 $aProbabilities.
650 0 $aRandom variables.
650 0 $aStochastic processes.
650 2 $aProbability.
650 7 $aMathématiques.$2eclas
650 7 $aProbabilités.$2eclas
650 7 $aProbabilities.$2fast$0(OCoLC)fst01077737
650 7 $aRandom variables.$2fast$0(OCoLC)fst01089812
650 7 $aStochastic processes.$2fast$0(OCoLC)fst01133519
650 7 $aWahrscheinlichkeitsrechnung$2gnd
650 7 $aZufallsvariable$2gnd
650 7 $aStochastischer Prozess$2gnd
650 7 $aStochastik$2gnd
650 17 $aWaarschijnlijkheidstheorie.$2gtt
650 17 $aVariabelen.$2gtt
650 17 $aStochastische processen.$2gtt
650 7 $aProbabilidade (Estatistica)$2larpcal
650 7 $aPROBABILITY THEORY.$2nasat
650 7 $aProbabilités.$2ram
650 7 $aVariables aléatoires.$2ram
650 7 $aProcessus stochastiques.$2ram
650 07 $aWahrscheinlichkeitsrechnung.$2swd
650 07 $aZufallsvariable.$2swd
650 07 $aStochastischer Prozess.$2swd
650 07 $aStochastik.$2swd
776 08 $iOnline version:$aPapoulis, Athanasios, 1921-$tProbability, random variables, and stochastic processes.$dNew York, McGraw-Hill [©1965]$w(OCoLC)564362785
830 0 $aMcGraw-Hill series in systems science.
938 $aYBP Library Services$bYANK$n1846705
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994 $aZ0$bP4A
948 $hHELD BY P4A - 659 OTHER HOLDINGS