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Volumn 78, Issue , 2017, Pages

Libstable: Fast, parallel, and high-precision computation of α-stable distributions in R, C/C++, and MATLAB

Author keywords

Numerical calculation; Parallel processing; stable distributions

Indexed keywords


EID: 85020421331     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v078.i01     Document Type: Article
Times cited : (20)

References (41)
  • 1
    • 85060036181 scopus 로고
    • Validity of the Single Processor Approach to Achieving Large Scale Computing Capabilities.
    • Association for Computing Machinery, New York
    • Amdahl GM (1967). “Validity of the Single Processor Approach to Achieving Large Scale Computing Capabilities.” In Proceedings of the Spring Joint Computer Conference, pp. 483-485. Association for Computing Machinery, New York.
    • (1967) Proceedings of the Spring Joint Computer Conference , pp. 483-485
    • Amdahl, G.M.1
  • 2
    • 79953237012 scopus 로고    scopus 로고
    • Lawrence Livermore National Laboratory, Livermore
    • Barney B (2011). POSIX Threads Programming Tutorial. Lawrence Livermore National Laboratory, Livermore. URL https://computing.llnl.gov/tutorials/pthreads.
    • (2011) POSIX Threads Programming Tutorial
    • Barney, B.1
  • 6
    • 0002528209 scopus 로고
    • The Behavior of Stock-Market Prices.
    • Fama EF (1965). “The Behavior of Stock-Market Prices.” The Journal of Business, 38(1), 34-105. doi:10.1086/294743.
    • (1965) The Journal of Business , vol.38 , Issue.1 , pp. 34-105
    • Fama, E.F.1
  • 7
    • 5544261689 scopus 로고
    • Parameter Estimates for Symmetric Stable Distributions.
    • Fama EF, Roll R (1971). “Parameter Estimates for Symmetric Stable Distributions.” Journal of the American Statistical Association, 66(334), 331-338. doi:10.2307/2283932.
    • (1971) Journal of the American Statistical Association , vol.66 , Issue.334 , pp. 331-338
    • Fama, E.F.1    Roll, R.2
  • 8
    • 32444450412 scopus 로고    scopus 로고
    • Parameter Estimation of Stable Distributions.
    • Fan Z (2006). “Parameter Estimation of Stable Distributions.” Communications in Statistics Theory and Methods, 35(2), 245-255. doi:10.1080/03610920500439992.
    • (2006) Communications in Statistics Theory and Methods , vol.35 , Issue.2 , pp. 245-255
    • Fan, Z.1
  • 11
  • 12
    • 79961093128 scopus 로고    scopus 로고
    • Lévy Stable Two-Sided Distributions: Exact and Explicit Densities for Asymmetric Case.
    • 061125
    • Górska K, Penson KA (2011). “Lévy Stable Two-Sided Distributions: Exact and Explicit Densities for Asymmetric Case.” Physical Review E, 83, 061125. doi:10.1103/physreve.83.061125.
    • (2011) Physical Review E , vol.83
    • Górska, K.1    Penson, K.A.2
  • 13
    • 0001263124 scopus 로고
    • A Simple General Approach to Inference about the Tail of a Distribution.
    • Hill BM (1975). “A Simple General Approach to Inference about the Tail of a Distribution.” The Annals of Statistics, 3(5), 1163-1174.
    • (1975) The Annals of Statistics , vol.3 , Issue.5 , pp. 1163-1174
    • Hill, B.M.1
  • 14
    • 84958374241 scopus 로고
    • An Iterative Procedure for the Estimation of the Parameters of Stable Laws.
    • Koutrouvelis IA (1981). “An Iterative Procedure for the Estimation of the Parameters of Stable Laws.” Communications in Statistics Simulation and Computation, 10(1), 17-28. doi:10.1080/03610918108812189.
    • (1981) Communications in Statistics Simulation and Computation , vol.10 , Issue.1 , pp. 17-28
    • Koutrouvelis, I.A.1
  • 18
    • 84866365902 scopus 로고    scopus 로고
    • A Survey on Computing Lévy Stable Distributions and a New MATLAB Toolbox.
    • Liang Y, Chen W (2013). “A Survey on Computing Lévy Stable Distributions and a New MATLAB Toolbox.” Signal Processing, 93(1), 242-251. doi:10.1016/j.sigpro.2012.07.035.
    • (2013) Signal Processing , vol.93 , Issue.1 , pp. 242-251
    • Liang, Y.1    Chen, W.2
  • 19
    • 41649116040 scopus 로고
    • Noah, Joseph, and Operational Hydrology.
    • Mandelbrot BB, Wallis JR (1968). “Noah, Joseph, and Operational Hydrology.” Water Resources Research, 4(5), 909-918. doi:10.1029/wr004i005p00909.
    • (1968) Water Resources Research , vol.4 , Issue.5 , pp. 909-918
    • Mandelbrot, B.B.1    Wallis, J.R.2
  • 20
    • 38049084243 scopus 로고
    • Simple Consistent Estimators of Stable Distribution Parameters.
    • McCulloch JH (1986). “Simple Consistent Estimators of Stable Distribution Parameters.” Communications in Statistics Simulation and Computation, 15(4), 1109-1136. doi: 10.1080/03610918608812563.
    • (1986) Communications in Statistics Simulation and Computation , vol.15 , Issue.4 , pp. 1109-1136
    • McCulloch, J.H.1
  • 21
    • 32444436416 scopus 로고    scopus 로고
    • Calibrated FFT-Based Density Approximations for α-Stable Distributions.
    • Menn C, Rachev ST (2006). “Calibrated FFT-Based Density Approximations for α-Stable Distributions.” Computational Statistics & Data Analysis, 50(8), 1891-1904. doi:10.1016/j.csda.2005.03.004.
    • (2006) Computational Statistics & Data Analysis , vol.50 , Issue.8 , pp. 1891-1904
    • Menn, C.1    Rachev, S.T.2
  • 22
    • 0033133786 scopus 로고    scopus 로고
    • Computing the Probability Density Function of the Stable Paretian Distribution.
    • Mittnik S, Doganoglu T, Chenyao D (1999a). “Computing the Probability Density Function of the Stable Paretian Distribution.” Mathematical and Computer Modelling, 29(10-12), 235-240. doi:10.1016/s0895-7177(99)00106-5.
    • (1999) Mathematical and Computer Modelling , vol.29 , Issue.10-12 , pp. 235-240
    • Mittnik, S.1    Doganoglu, T.2    Chenyao, D.3
  • 24
    • 33747586747 scopus 로고    scopus 로고
    • Numerical Calculation of Stable Densities and Distribution Functions.
    • Nolan JP (1997). “Numerical Calculation of Stable Densities and Distribution Functions.” Stochastic Models, 13(4), 759-774. doi:10.1080/15326349708807450.
    • (1997) Stochastic Models , vol.13 , Issue.4 , pp. 759-774
    • Nolan, J.P.1
  • 25
    • 0033133915 scopus 로고    scopus 로고
    • An Algorithm for Evaluating Stable Densities in Zolotarevs (M) Parameterization.”
    • Nolan JP (1999). “An Algorithm for Evaluating Stable Densities in Zolotarev’s (M) Parameterization.” Mathematical and Computer Modelling, 29(10-12), 229-233. doi: 10.1016/s0895-7177(99)00105-3.
    • (1999) Mathematical and Computer Modelling , vol.29 , Issue.10-12 , pp. 229-233
    • Nolan, J.P.1
  • 26
    • 0007110193 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation and Diagnostics for Stable Distributions.
    • OE Barndorff-Nielsen, T Mikosch, SI Resnick, Birkhäuser, Boston
    • Nolan JP (2001). “Maximum Likelihood Estimation and Diagnostics for Stable Distributions.” In OE Barndorff-Nielsen, T Mikosch, SI Resnick (eds.), Lévy Processes: Theory and Applications, pp. 379-400. Birkhäuser, Boston.
    • (2001) Lévy Processes: Theory and Applications , pp. 379-400
    • Nolan, J.P.1
  • 29
    • 85015629308 scopus 로고    scopus 로고
    • R: A Language and Environment for Statistical Computing
    • Vienna, Austria
    • R Core Team (2017). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org.
    • (2017) R Foundation for Statistical Computing
    • Core Team, R.1
  • 30
    • 84875948977 scopus 로고    scopus 로고
    • Parameterization of the Distribution of White and Grey Matter in MRI Using the α-Stable Distribution.
    • Salas-Gonzalez D, Górriz JM, Ramírez J, Schloegl M, Lang EW, Ortiz A (2013). “Parameterization of the Distribution of White and Grey Matter in MRI Using the α-Stable Distribution.” Computers in Biology and Medicine, 43(5), 559-567. doi:10.1016/j.compbiomed.2013.01.003.
    • (2013) Computers in Biology and Medicine , vol.43 , Issue.5 , pp. 559-567
    • Salas-Gonzalez, D.1    Górriz, J.M.2    Ramírez, J.3    Schloegl, M.4    Lang, E.W.5    Ortiz, A.6
  • 37
    • 0030585552 scopus 로고    scopus 로고
    • On the Chambers-Mallows-Stuck Method for Simulating Skewed Stable Random Variables.
    • Weron R (1996). “On the Chambers-Mallows-Stuck Method for Simulating Skewed Stable Random Variables.” Statistics & Probability Letters, 28(2), 165-171. doi:10.1016/0167-7152(95)00113-1
    • (1996) Statistics & Probability Letters , vol.28 , Issue.2 , pp. 165-171
    • Weron, R.1
  • 38
    • 33846143334 scopus 로고    scopus 로고
    • Computationally Intensive Value at Risk Calculations.
    • JE Gentle, W Härdle, Y Mori, SpringerVerlag, Berlin
    • Weron R (2004). “Computationally Intensive Value at Risk Calculations.” In JE Gentle, W Härdle, Y Mori (eds.), Handbook of Computational Statistics, pp. 911-950. SpringerVerlag, Berlin.
    • (2004) Handbook of Computational Statistics , pp. 911-950
    • Weron, R.1
  • 39
    • 0031078972 scopus 로고    scopus 로고
    • Self-Similarity Through HighVariability: Statistical Analysis of Ethernet LAN Traffic at the Source Level.
    • Willinger W, Taqqu MS, Sherman R, Wilson DV (1997). “Self-Similarity Through HighVariability: Statistical Analysis of Ethernet LAN Traffic at the Source Level.” IEEE/ACM Transactions on Networking, 5(1), 71-86. doi:10.1109/90.554723.
    • (1997) IEEE/ACM Transactions on Networking , vol.5 , Issue.1 , pp. 71-86
    • Willinger, W.1    Taqqu, M.S.2    Sherman, R.3    Wilson, D.V.4
  • 41
    • 0003245748 scopus 로고
    • One-Dimensional Stable Distributions
    • American Mathematical Society, Ann Arbor
    • Zolotarev VM (1986). One-Dimensional Stable Distributions, volume 65 of Translations of Mathematical Monographs. American Mathematical Society, Ann Arbor.
    • (1986) Translations of Mathematical Monographs , vol.65
    • Zolotarev, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.