03024nam 2200661Ia 450 991080963190332120200520144314.097866125483079781118210932111821093X978128254830512825483019780470580066047058006297804705800590470580054(CKB)2550000000012197(EBL)496024(SSID)ssj0000414574(PQKBManifestationID)11296631(PQKBTitleCode)TC0000414574(PQKBWorkID)10395377(PQKB)11572694(MiAaPQ)EBC496024(OCoLC)587389543(Perlego)1007871(EXLCZ)99255000000001219720090903d2010 uy 0engur|n|---|||||txtccrComplex surveys a guide to analysis using R /Thomas LumleyHoboken, N.J. Wileyc20101 online resource (296 p.)Wiley Series in Survey Methodology ;v.565Description based upon print version of record.9780470284308 0470284307 Includes bibliographical references and index.Complex Surveys: A Guide to Analysis Using R; Contents; Acknowledgments; Preface; Acronyms; 1 Basic Tools; 2. Simple and Stratified sampling; 3. Cluster sampling; 4. Graphics; 5 Ratios and linear regression; 6 Categorical data regression; 7 Post-stratification, raking and calibration; 8 Two-phase sampling; 9 Missing data; 10 * Causal inference; Appendix A: Analytic Details; Appendix B: Basic R; Appendix C: Computational details; Appendix D: Database-backed design objects; Appendix E: Extending the package; References; Author Index; Topic IndexA complete guide to carrying out complex survey analysis using R As survey analysis continues to serve as a core component of sociological research, researchers are increasingly relying upon data gathered from complex surveys to carry out traditional analyses. Complex Surveys is a practical guide to the analysis of this kind of data using R, the freely available and downloadable statistical programming language. As creator of the specific survey package for R, the author provides the ultimate presentation of how to successfully use the software for analyzing data from complex sWiley Series in Survey MethodologyMathematical statisticsData processingR (Computer program language)Mathematical statisticsData processing.R (Computer program language)515.0285SK 845rvkLumley Thomas1969-1703999MiAaPQMiAaPQMiAaPQBOOK9910809631903321Complex surveys4089643UNINA05723nam 2200805 a 450 991081735510332120240401164208.0978111861793911186179329781118618059111861805X9781118629857111862985X(CKB)2550000001111833(EBL)1368912(SSID)ssj0001034045(PQKBManifestationID)11625333(PQKBTitleCode)TC0001034045(PQKBWorkID)11007550(PQKB)11192892(DLC) 2013017918(Au-PeEL)EBL1368912(CaPaEBR)ebr10748669(CaONFJC)MIL511725(PPN)179863703(FR-PaCSA)88819096(MiAaPQ)EBC1368912(OCoLC)842307629(FRCYB88819096)88819096(Perlego)1001723(EXLCZ)99255000000111183320130430d2013 uy 0engur|n|---|||||txtccrElements of random walk and diffusion processes /Oliver C. Ibe1st ed.Hoboken, N.J. John Wiley & Sons, Inc.20131 online resource (278 p.)Wiley series in operations research and management scienceDescription based upon print version of record.9781118618097 1118618092 9781299804746 1299804748 Includes bibliographical references and index.Elements of Random Walk and Diffusion Processes; Copyright; Contents; Preface; Acknowledgments; 1 Review of Probability Theory; 1.1 Introduction; 1.2 Random Variables; 1.2.1 Distribution Functions; 1.2.2 Discrete Random Variables; 1.2.3 Continuous Random Variables; 1.2.4 Expectations; 1.2.5 Moments of Random Variables and the Variance; 1.3 Transform Methods; 1.3.1 The Characteristic Function; 1.3.2 Moment-Generating Property of the Characteristic Function; 1.3.3 The s-Transform; 1.3.4 Moment-Generating Property of the s-Transform; 1.3.5 The z-Transform1.3.6 Moment-Generating Property of the z-Transform1.4 Covariance and Correlation Coefficient; 1.5 Sums of Independent Random Variables; 1.6 Some Probability Distributions; 1.6.1 The Bernoulli Distribution; 1.6.2 The Binomial Distribution; 1.6.3 The Geometric Distribution; 1.6.4 The Poisson Distribution; 1.6.5 The Exponential Distribution; 1.6.6 Normal Distribution; 1.7 Limit Theorems; 1.7.1 Markov Inequality; 1.7.2 Chebyshev Inequality; 1.7.3 Laws of Large Numbers; 1.7.4 The Central Limit Theorem; Problems; 2 Overview of Stochastic Processes; 2.1 Introduction2.2 Classification of Stochastic Processes2.3 Mean and Autocorrelation Function; 2.4 Stationary Processes; 2.4.1 Strict-Sense Stationary Processes; 2.4.2 Wide-Sense Stationary Processes; 2.5 Power Spectral Density; 2.6 Counting Processes; 2.7 Independent Increment Processes; 2.8 Stationary Increment Process; 2.9 Poisson Processes; 2.9.1 Compound Poisson Process; 2.10 Markov Processes; 2.10.1 Discrete-Time Markov Chains; 2.10.2 State Transition Probability Matrix; 2.10.3 The k-Step State Transition Probability; 2.10.4 State Transition Diagrams; 2.10.5 Classification of States2.10.6 Limiting-State Probabilities2.10.7 Doubly Stochastic Matrix; 2.10.8 Continuous-Time Markov Chains; 2.10.9 Birth and Death Processes; 2.11 Gaussian Processes; 2.12 Martingales; 2.12.1 Stopping Times; Problems; 3 One-Dimensional Random Walk; 3.1 Introduction; 3.2 Occupancy Probability; 3.3 Random Walk as a Markov Chain; 3.4 Symmetric Random Walk as a Martingale; 3.5 Random Walk with Barriers; 3.6 Mean-Square Displacement; 3.7 Gambler's Ruin; 3.7.1 Ruin Probability; 3.7.2 Alternative Derivation of Ruin Probability; 3.7.3 Duration of a Game; 3.8 Random Walk with Stay3.9 First Return to the Origin3.10 First Passage Times for Symmetric Random Walk; 3.10.1 First Passage Time via the Generating Function; 3.10.2 First Passage Time via the Reflection Principle; 3.10.3 Hitting Time and the Reflection Principle; 3.11 The Ballot Problem and the Reflection Principle; 3.11.1 The Conditional Probability Method; 3.12 Returns to the Origin and the Arc-Sine Law; 3.13 Maximum of a Random Walk; 3.14 Two Symmetric Random Walkers; 3.15 Random Walk on a Graph; 3.15.1 Proximity Measures; 3.15.2 Directed Graphs; 3.15.3 Random Walk on an Undirected Graph3.15.4 Random Walk on a Weighted Graph"Featuring an introduction to stochastic calculus, this book uniquely blends diffusion equations and random walk theory and provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. It covers standard methods and applications of Brownian motion and discusses Levy motion; addresses fractional calculus; introduces percolation theory and its relationship to diffusion processes; and more"--Provided by publisher.Wiley Series in Operations Research and Management ScienceRandom walks (Mathematics)Diffusion processesRandom walks (Mathematics)Diffusion processes.519.2/82MAT003000bisacshIbe Oliver C(Oliver Chukwudi),1947-522175MiAaPQMiAaPQMiAaPQBOOK9910817355103321Elements of random walk and diffusion processes4034004UNINA