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001442159 001__ 1442159
001442159 003__ OCoLC
001442159 005__ 20230310003315.0
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001442159 019__ $$a1264470543
001442159 020__ $$a9783030829223$$q(electronic bk.)
001442159 020__ $$a3030829227$$q(electronic bk.)
001442159 020__ $$z9783030829216
001442159 020__ $$z3030829219
001442159 0247_ $$a10.1007/978-3-030-82922-3$$2doi
001442159 035__ $$aSP(OCoLC)1264551543
001442159 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dOCLCF$$dMUU$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ$$dN$T$$dOCLCQ
001442159 049__ $$aISEA
001442159 050_4 $$aTA340$$b.C38 2022
001442159 08204 $$a519.2$$223
001442159 1001_ $$aCatak, Muammer,$$eauthor.
001442159 24510 $$aProbability and random variables for electrical engineering :$$bprobability : measurement of uncertainty /$$cMuammer Catak, Tofigh Allahviranloo, Witold Pedrycz.
001442159 264_1 $$aCham :$$bSpringer,$$c[2022]
001442159 264_4 $$c©2022
001442159 300__ $$a1 online resource :$$billustrations (some color)
001442159 336__ $$atext$$btxt$$2rdacontent
001442159 337__ $$acomputer$$bc$$2rdamedia
001442159 338__ $$aonline resource$$bcr$$2rdacarrier
001442159 4901_ $$aStudies in systems, decision and control ;$$vvolume 390
001442159 504__ $$aIncludes bibliographical references and index.
001442159 5050_ $$aIntro -- Preface -- Overview -- Chapter Descriptions -- Contents -- Part I Concepts of Probability Theory -- 1 Introduction -- 1.1 Set Theory -- 1.2 Set Operations -- 1.3 Sample Space and Events -- 1.4 Probability Axioms -- 1.5 Probability of the Equally Likely Outcomes -- 1.6 Conditional Probability and Bayes' Theory -- 1.7 Problems -- 2 Continuous Random Variables -- 2.1 The Probability Distribution Function (PDF) -- 2.2 The Probability Density Function (PDF) -- 2.3 Expected Value and Variance -- 2.4 Common Continuous Probability Distribution Functions -- 2.4.1 Uniform Distribution
001442159 5058_ $$a2.4.2 Normal (Gaussian) Distribution -- 2.4.3 Exponential Distribution -- 2.4.4 Gamma Distribution -- 2.5 Problems -- 3 Discrete Random Variables -- 3.1 The Probability Distribution Function (PDF) -- 3.2 The Probability Density Function (PDF) -- 3.3 Expected Value and Variance -- 3.4 Common Discrete Probability Distribution Functions -- 3.4.1 Uniform Distribution -- 3.4.2 Bernoulli Distribution -- 3.4.3 Binomial Distribution -- 3.4.4 Geometric Distribution -- 3.4.5 The Memoryless Property of the Geometric Distribution -- 3.4.6 Poisson Distribution -- 3.5 The Mixed Probability Distributions
001442159 5058_ $$a3.6 Problems -- 4 Multiple Random Variables -- 4.1 The Joint Probability Distribution Function -- 4.2 The Joint Probability Density Function -- 4.3 Marginal Probability Functions -- 4.3.1 Marginal Probability Distribution Function -- 4.3.2 Marginal Probability Density Function -- 4.4 Conditional Probability and Statistical Independence -- 4.5 Functions of Random Variables -- 4.5.1 Y=aX+b, a>0, Continuous Random Variables -- 4.5.2 Y=aX+b, a0, Discrete Random Variables -- 4.5.4 Y=X2
001442159 5058_ $$a4.5.5 Sum of Two Statistically Independent Continuous Random Variables, Z=X+Y -- 4.5.6 Sum of Two Statistically Independent Discrete Random Variables, Z=X+Y -- 4.5.7 Z=XY -- 4.5.8 Z=XY -- 4.5.9 Central Limit Theorem -- 4.6 Problems -- 5 Statistical Analysis of Random Variables -- 5.1 Statistical Analysis of One Random Variable -- 5.1.1 Expected Value and Mean -- 5.1.2 Variance and Standard Deviation -- 5.2 Moment Generating Functions -- 5.2.1 Maclaurin Series -- 5.2.2 Characteristic Function -- 5.3 Statistical Analysis of Multiple Random Variables -- 5.3.1 Normalized Joint Moments
001442159 5058_ $$a5.3.2 Joint Moments Around the Expected Values -- 5.3.3 Expected Operations of Functions of Random Variables -- 5.4 Problems -- Part II Random Processes -- 6 Random Processes -- 6.1 Random Processes -- 6.1.1 Probability Functions Associated with a Random Process -- 6.1.2 Classification of Random Processes -- 6.2 Correlation Functions -- 6.2.1 Autocorrelation Function, RXX(t1,t2) -- 6.2.2 Cross-Correlation Function, RXY(t1,t2) -- 6.3 Covariance Functions -- 6.3.1 Autocovariance Function, CXX(t1,t2) -- 6.3.2 Cross-covariance Function, CXX(t1,t2) -- 6.4 Gaussian Random Process
001442159 506__ $$aAccess limited to authorized users.
001442159 520__ $$aThis book delivers a concise and carefully structured introduction to probability and random variables. It aims to build a linkage between the theoretical conceptual topics and the practical applications, especially in the undergraduate engineering area. The book motivates the student to gain full understanding of the fundamentals of probability theory and help acquire working problem-solving skills and apply the theory to engineering applications. Each chapter includes solved examples at varying levels (both introductory and advanced) in addition to problems that demonstrate the relevance of the probability and random variables in engineering. As authors, we focused on to find out the optimum ways in order to introduce the topics in probability and random variables area.
001442159 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 27, 2021).
001442159 650_0 $$aProbabilities.
001442159 650_0 $$aElectrical engineering$$xMathematics.
001442159 650_6 $$aProbabilités.
001442159 650_6 $$aGénie électrique$$xMathématiques.
001442159 655_0 $$aElectronic books.
001442159 7001_ $$aAllahviranloo, Tofigh,$$eauthor.
001442159 7001_ $$aPedrycz, Witold,$$d1953-$$eauthor.
001442159 77608 $$iPrint version:$$aCatak, Muammer.$$tProbability and random variables for electrical engineering.$$dCham : Springer, [2022]$$z3030829219$$z9783030829216$$w(OCoLC)1258780011
001442159 830_0 $$aStudies in systems, decision and control ;$$vv. 390.
001442159 852__ $$bebk
001442159 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-82922-3$$zOnline Access$$91397441.1
001442159 909CO $$ooai:library.usi.edu:1442159$$pGLOBAL_SET
001442159 980__ $$aBIB
001442159 980__ $$aEBOOK
001442159 982__ $$aEbook
001442159 983__ $$aOnline
001442159 994__ $$a92$$bISE