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Volumn , Issue , 2013, Pages 1-382

An Introduction to Statistical Computing: A Simulation-based Approach

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN NETWORKS; CONTINUOUS TIME SYSTEMS; MARKOV PROCESSES; RANDOM NUMBER GENERATION; SAMPLING; STATISTICS;

EID: 84983577436     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781118728048     Document Type: Book
Times cited : (31)

References (54)
  • 1
    • 0036964474 scopus 로고    scopus 로고
    • Approximate Bayesian Computation in population genetics
    • M. A. Beaumont, W. Zhang, and D. J. Balding. Approximate Bayesian Computation in population genetics. Genetics, 162(4):2025-2035, 2002.
    • (2002) Genetics , vol.162 , Issue.4 , pp. 2025-2035
    • Beaumont, M.A.1    Zhang, W.2    Balding, D.J.3
  • 2
    • 73549122582 scopus 로고    scopus 로고
    • Non-linear regression models for Approximate Bayesian Computation
    • M. Blum and O. François. Non-linear regression models for Approximate Bayesian Computation. Statistics and Computing, 20:63-73, 2010.
    • (2010) Statistics and Computing , vol.20 , pp. 63-73
    • Blum, M.1    François, O.2
  • 3
    • 0003400560 scopus 로고    scopus 로고
    • Handbook of Brownian Motion - Facts and Formulae
    • Probability and its Applications. Birkhäuser
    • A. N. Borodin and P. Salminen. Handbook of Brownian Motion - Facts and Formulae. Probability and its Applications. Birkhäuser, 1996.
    • (1996)
    • Borodin, A.N.1    Salminen, P.2
  • 4
    • 0001541731 scopus 로고
    • A note on the generation of random normal deviates
    • G. E. P. Box and M. E. Muller. A note on the generation of random normal deviates. Annals of Mathematical Statistics, 29(2):610-611, 1958.
    • (1958) Annals of Mathematical Statistics , vol.29 , Issue.2 , pp. 610-611
    • Box, G.E.P.1    Muller, M.E.2
  • 5
    • 0003594381 scopus 로고    scopus 로고
    • Statistical Inference
    • Duxbury Press, second edition
    • G. Casella and R. L. Berger. Statistical Inference. Duxbury Press, second edition, 2001.
    • (2001)
    • Casella, G.1    Berger, R.L.2
  • 6
    • 0003406396 scopus 로고    scopus 로고
    • The Analysis of Time Series
    • Chapman & Hall/CRC Texts in Statistical Science Series. Chapman & Hall/CRC, sixth edition
    • C. Chatfield. The Analysis of Time Series. Chapman & Hall/CRC Texts in Statistical Science Series. Chapman & Hall/CRC, sixth edition, 2004.
    • (2004)
    • Chatfield, C.1
  • 7
    • 67650695100 scopus 로고    scopus 로고
    • Simulation and Monte Carlo, with Applications in Finance and MCMC
    • John Wiley & Sons, Ltd
    • J. S. Dagpunar. Simulation and Monte Carlo, with Applications in Finance and MCMC. John Wiley & Sons, Ltd, 2007.
    • (2007)
    • Dagpunar, J.S.1
  • 8
    • 0003484780 scopus 로고    scopus 로고
    • Bootstrap Methods and their Application
    • Cambridge University Press
    • A. C. Davison and D. V. Hinkley. Bootstrap Methods and their Application. Cambridge University Press, 1997.
    • (1997)
    • Davison, A.C.1    Hinkley, D.V.2
  • 9
    • 0000713911 scopus 로고    scopus 로고
    • Bootstrap confidence intervals
    • T. J. DiCiccio and B. Efron. Bootstrap confidence intervals. Statistical Science, 11(3):189-212, 1996.
    • (1996) Statistical Science , vol.11 , Issue.3 , pp. 189-212
    • DiCiccio, T.J.1    Efron, B.2
  • 10
    • 0003991665 scopus 로고
    • An Introduction to the Bootstrap
    • Chapman & Hall
    • B. Efron and R. J. Tibshirani. An Introduction to the Bootstrap. Chapman & Hall, 1993.
    • (1993)
    • Efron, B.1    Tibshirani, R.J.2
  • 11
    • 84861111043 scopus 로고    scopus 로고
    • Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation
    • P. Fearnhead and D. Prangle. Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation. Journal of the Royal Statistical Society: Series B, 74(3):419-474, 2012.
    • (2012) Journal of the Royal Statistical Society: Series B , vol.74 , Issue.3 , pp. 419-474
    • Fearnhead, P.1    Prangle, D.2
  • 12
    • 0003421261 scopus 로고
    • An Introduction to Probability Theory and Its Applications
    • John Wiley & Sons, Ltd, third edition
    • W. Feller. An Introduction to Probability Theory and Its Applications, volume I. John Wiley & Sons, Ltd, third edition, 1968.
    • (1968) , vol.1
    • Feller, W.1
  • 13
    • 17444422237 scopus 로고    scopus 로고
    • Statistical Inference
    • Oxford University Press
    • P. H. Garthwaite, I. T. Jolliffe, and B. Jones. Statistical Inference. Oxford University Press, 2002.
    • (2002)
    • Garthwaite, P.H.1    Jolliffe, I.T.2    Jones, B.3
  • 14
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences
    • A. Gelman and D. B. Rubin. Inference from iterative simulation using multiple sequences. Statistical Science, 7(4):457-472, 1992.
    • (1992) Statistical Science , vol.7 , Issue.4 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 15
    • 20544463332 scopus 로고    scopus 로고
    • Handbook of Computational Statistics
    • Springer, editors
    • J. E. Gentle,W. Härdle, and Y. Mori, editors. Handbook of Computational Statistics. Springer, 2004.
    • (2004)
    • Gentle, J.E.1    Härdle, W.2    Mori, Y.3
  • 16
    • 61449162945 scopus 로고    scopus 로고
    • Multilevel Monte Carlo path simulation
    • M. B. Giles. Multilevel Monte Carlo path simulation. Operations Research, 56(3):607-617, 2008a.
    • (2008) Operations Research , vol.56 , Issue.3 , pp. 607-617
    • Giles, M.B.1
  • 17
    • 84892272601 scopus 로고    scopus 로고
    • Improved multilevel Monte Carlo convergence using the Milstein scheme. In
    • A. Keller, S. Heinrich, and H. Niederreiter, editors. Springer
    • M. B. Giles. Improved multilevel Monte Carlo convergence using the Milstein scheme. In A. Keller, S. Heinrich, and H. Niederreiter, editors, Monte Carlo and Quasi-Monte Carlo Methods 2006, pages 343-358. Springer, 2008b.
    • (2008) Monte Carlo and Quasi-Monte Carlo Methods 2006 , pp. 343-358
    • Giles, M.B.1
  • 18
    • 0003860037 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo in Practice
    • Chapman & Hall/CRC, editors
    • W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, editors. Markov Chain Monte Carlo in Practice. Chapman & Hall/CRC, 1996.
    • (1996)
    • Gilks, W.R.1    Richardson, S.2    Spiegelhalter, D.J.3
  • 19
    • 77956889087 scopus 로고
    • Reversible jump Markov Chain Monte Carlo computation and Bayesian model determination
    • P. J. Green. Reversible jump Markov Chain Monte Carlo computation and Bayesian model determination. Biometrika, 82(4):711-732, 1995.
    • (1995) Biometrika , vol.82 , Issue.4 , pp. 711-732
    • Green, P.J.1
  • 20
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • S. L. Heston. A closed-form solution for options with stochastic volatility with applications to bond and currency options. The Review of Financial Studies, 6(2):327-343, 1993.
    • (1993) The Review of Financial Studies , vol.6 , Issue.2 , pp. 327-343
    • Heston, S.L.1
  • 21
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • D. J. Higham. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Review, 43(3):525-546, 2001.
    • (2001) SIAM Review , vol.43 , Issue.3 , pp. 525-546
    • Higham, D.J.1
  • 22
    • 1342307182 scopus 로고    scopus 로고
    • Probability Essentials
    • Springer
    • J. Jacod and P. Protter. Probability Essentials. Springer, 2000.
    • (2000)
    • Jacod, J.1    Protter, P.2
  • 24
    • 0004079380 scopus 로고
    • Statistical Computing
    • Marcel Dekker, Inc.
    • W. J. Kennedy Jr and J. E. Gentle. Statistical Computing. Marcel Dekker, Inc., 1980.
    • (1980)
    • Kennedy, W.J.1    Gentle, J.E.2
  • 25
    • 0003523893 scopus 로고
    • Poisson Processes of Oxford Studies in Probability
    • Clarendon Press
    • J. F. C. Kingman. Poisson Processes, volume 3 of Oxford Studies in Probability. Clarendon Press, 1993.
    • (1993) , vol.3
    • Kingman, J.F.C.1
  • 26
    • 0003568337 scopus 로고    scopus 로고
    • Numerical Solution of Stochastic Differential Equations
    • Number 23 in Applications of Mathematics. Springer. Corrected Third Printing.
    • P. E. Kloeden and E. Platen. Numerical Solution of Stochastic Differential Equations. Number 23 in Applications of Mathematics. Springer, 1999. Corrected Third Printing.
    • (1999)
    • Kloeden, P.E.1    Platen, E.2
  • 27
    • 0003657593 scopus 로고
    • Seminumerical Algorithms of The Art of Computer Programming
    • Addison-Wesley, second edition
    • D. E. Knuth. Seminumerical Algorithms, volume 2 of The Art of Computer Programming. Addison-Wesley, second edition, 1981.
    • (1981) , vol.2
    • Knuth, D.E.1
  • 28
    • 84949783693 scopus 로고    scopus 로고
    • Handbook of Monte Carlo Methods
    • John Wiley & Sons, Ltd
    • D. P. Kroese, T. Taimre, and Z. I. Botev. Handbook of Monte Carlo Methods. John Wiley & Sons, Ltd, 2011.
    • (2011)
    • Kroese, D.P.1    Taimre, T.2    Botev, Z.I.3
  • 29
    • 0004143760 scopus 로고    scopus 로고
    • Testing Statistical Hypotheses
    • Springer, third edition
    • E. L. Lehmann and J. P. Romano. Testing Statistical Hypotheses. Springer, third edition, 2005.
    • (2005)
    • Lehmann, E.L.1    Romano, J.P.2
  • 30
    • 84855593535 scopus 로고    scopus 로고
    • Stochastic Differential Equations and Applications
    • Woodhead Publishing, second edition
    • X. Mao. Stochastic Differential Equations and Applications. Woodhead Publishing, second edition, 2007.
    • (2007)
    • Mao, X.1
  • 31
    • 0040833010 scopus 로고    scopus 로고
    • The ziggurat method for generating random variables
    • G. Marsaglia andW.W. Tsang. The ziggurat method for generating random variables. Journal of Statistical Software, 5(8):1-7, 2000.
    • (2000) Journal of Statistical Software , vol.5 , Issue.8 , pp. 1-7
    • Marsaglia, G.1    Tsang, W.W.2
  • 32
    • 0031599142 scopus 로고    scopus 로고
    • Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
    • M. Matsumoto and T. Nishimura. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Transactions on Modeling and Computer Simulation, 8(1):3-30, 1998.
    • (1998) ACM Transactions on Modeling and Computer Simulation , vol.8 , Issue.1 , pp. 3-30
    • Matsumoto, M.1    Nishimura, T.2
  • 33
    • 0005892198 scopus 로고
    • The beginning of the Monte Carlo metho
    • Los Alamos Science
    • N. Metropolis. The beginning of the Monte Carlo method. Los Alamos Science, 125-130, 1987.
    • (1987) , pp. 125-130
    • Metropolis, N.1
  • 34
    • 70350302258 scopus 로고    scopus 로고
    • Markov Chains and Stochastic Stability
    • Cambridge University Press, second edition
    • S. P. Meyn and R. L. Tweedie. Markov Chains and Stochastic Stability. Cambridge University Press, second edition, 2009.
    • (2009)
    • Meyn, S.P.1    Tweedie, R.L.2
  • 35
    • 70349346279 scopus 로고    scopus 로고
    • Brownian Motion
    • Cambridge University Press
    • P. Mörters and Y. Peres. Brownian Motion. Cambridge University Press, 2010.
    • (2010)
    • Mörters, P.1    Peres, Y.2
  • 36
    • 0003781238 scopus 로고    scopus 로고
    • Markov Chains
    • Cambridge University Press
    • J. R. Norris. Markov Chains. Cambridge University Press, 1997.
    • (1997)
    • Norris, J.R.1
  • 37
    • 0003722979 scopus 로고    scopus 로고
    • Stochastic Differential Equations
    • Springer, sixth edition
    • B. K. Øksendal. Stochastic Differential Equations. Springer, sixth edition, 2003.
    • (2003)
    • Øksendal, B.K.1
  • 38
    • 85013848734 scopus 로고    scopus 로고
    • Statistical Mechanics
    • Elsevier, second edition, 1996. M. Plischke and B. Bergersen. Equilibrium Statistical Physics.World Scientific, third edition
    • R. K. Pathria. Statistical Mechanics. Elsevier, second edition, 1996. M. Plischke and B. Bergersen. Equilibrium Statistical Physics.World Scientific, third edition, 2006.
    • (2006)
    • Pathria, R.K.1
  • 39
    • 0003476860 scopus 로고
    • Finite Size Scaling and Numerical Simulation of Statistical Systems
    • editor. World Scientific
    • V. Privman, editor. Finite Size Scaling and Numerical Simulation of Statistical Systems.World Scientific, 1990.
    • (1990)
    • Privman, V.1
  • 41
    • 0004007880 scopus 로고
    • Stochastic Simulation
    • John Wiley & Sons, Ltd
    • B. D. Ripley. Stochastic Simulation. John Wiley & Sons, Ltd, 1987.
    • (1987)
    • Ripley, B.D.1
  • 42
    • 77955480339 scopus 로고    scopus 로고
    • Statistical Computing with R
    • Chapman & Hall/CRC
    • M. L. Rizzo. Statistical Computing with R. Chapman & Hall/CRC, 2008.
    • (2008)
    • Rizzo, M.L.1
  • 43
    • 84977551116 scopus 로고    scopus 로고
    • Monte Carlo Statistical Methods
    • Springer Texts in Statistics. Springer, second edition
    • C. P. Robert and G. Casella. Monte Carlo Statistical Methods. Springer Texts in Statistics. Springer, second edition, 2004.
    • (2004)
    • Robert, C.P.1    Casella, G.2
  • 44
    • 84890736685 scopus 로고    scopus 로고
    • General state space Markov chains and MCMC algorithms
    • G. O. Roberts and J. S. Rosenthal. General state space Markov chains and MCMC algorithms. Probability Surveys, 1:20-71, 2004.
    • (2004) Probability Surveys , vol.1 , pp. 20-71
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 45
    • 0003617670 scopus 로고    scopus 로고
    • Diffusions, Markov Processes, and Martingales of Cambridge Mathematical Library
    • Cambridge University Press, 2000. Ito calculus, Reprint of the second (1994) edition.
    • L. C. G. Rogers and D.Williams. Diffusions, Markov Processes, and Martingales, volume 2 of Cambridge Mathematical Library. Cambridge University Press, 2000. Ito calculus, Reprint of the second (1994) edition.
    • , vol.2
    • Rogers, L.C.G.1    Williams, D.2
  • 46
    • 0004116414 scopus 로고
    • Real and Complex Analysis
    • McGraw-Hill, third edition
    • W. Rudin. Real and Complex Analysis. McGraw-Hill, third edition, 1987.
    • (1987)
    • Rudin, W.1
  • 47
    • 0000547544 scopus 로고
    • Auseful convergence theorem for probability distributions
    • H. Scheffé.Auseful convergence theorem for probability distributions. Annals of Mathematical Statistics, 18(3):434-438, 1947.
    • (1947) Annals of Mathematical Statistics , vol.18 , Issue.3 , pp. 434-438
    • Scheffé, H.1
  • 48
    • 0031014291 scopus 로고    scopus 로고
    • Inferring coalescence times from DNA sequence data
    • S. Tavaré, D. J. Balding, R. C. Griffiths, and P. Donnelly. Inferring coalescence times from DNA sequence data. Genetics, 145(2):505-518, 1997.
    • (1997) Genetics , vol.145 , Issue.2 , pp. 505-518
    • Tavaré, S.1    Balding, D.J.2    Griffiths, R.C.3    Donnelly, P.4
  • 49
  • 50
    • 84983574348 scopus 로고    scopus 로고
    • An introduction to R. Available from (accessed 14 May 2013)
    • W. N. Venables, D. M. Smith, and the R Development Core Team. An introduction to R. Available from http://cran.r-project.org/doc/manuals/R-intro.html, 2011 (accessed 14 May 2013).
    • (2011)
    • Venables, W.N.1    Smith, D.M.2
  • 51
    • 0003087344 scopus 로고
    • Various techniques used in connection with random digits
    • In A. S. Householder, G. E. Forsythe and H. H. Germond, editors, US Government Printing Office
    • J. von Neumann. Various techniques used in connection with random digits. In A. S. Householder, G. E. Forsythe and H. H. Germond, editors Monte Carlo Method, volume 12 of National Bureau of Standards Applied Mathematics Series pages 36-38. US Government Printing Office, 1951.
    • (1951) Monte Carlo Method, National Bureau of Standards Applied Mathematics Series , vol.12 , pp. 36-38
    • von Neumann, J.1
  • 52
    • 0035297748 scopus 로고    scopus 로고
    • A tutorial on reversible jump MCMC with a view toward applications in QTL-mapping
    • R. Waagepetersen and D. Sorensen. A tutorial on reversible jump MCMC with a view toward applications in QTL-mapping. International Statistical Review, 69:49-61, 2001.
    • (2001) International Statistical Review , vol.69 , pp. 49-61
    • Waagepetersen, R.1    Sorensen, D.2
  • 53
    • 4244071054 scopus 로고    scopus 로고
    • Weighing the Odds: A Course in Probability and Statistics
    • Cambridge University Press
    • D.Williams.Weighing the Odds: A Course in Probability and Statistics. Cambridge University Press, 2001.
    • (2001)
    • Williams, D.1
  • 54
    • 0003455701 scopus 로고
    • Image Analysis, Random Fields and Dynamic Monte Carlo Methods
    • Springer
    • G. Winkler. Image Analysis, Random Fields and Dynamic Monte Carlo Methods. Springer, 1995.
    • (1995)
    • Winkler, G.1


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