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P.}, publisher = {Birkh{\"a}user}, title = {Stable Distributions -- {M}odels for Heavy Tailed Data}, note = {Chapter~1 online at \url{http://academic2.american.edu/~jpnolan/stable/chap1.pdf}}, urldate = {2009-12-30}, year = {2011} } @Article{chambersmallowsstuck1976, author = {Chambers, J. M. and Mallows, C. L. and Stuck, B. W.}, journal = {Journal of the American Statistical Association}, pages = {340--344}, title = {A Method for Simulating Stable Random Variables}, volume = {71}, number = {354}, year = {1976} } @Book{nelsen2007, author = {Nelsen, R. B.}, publisher = {Springer-Verlag}, address = {New York}, title = {An Introduction to Copulas}, year = {2007} } @Article{mcneilneslehova2009, author = {McNeil, A. J. and Ne{\v{s}}lehov{\'a}, J.}, journal = {The Annals of Statistics}, title = {Multivariate {A}rchimedean Copulas, $d$-monotone Functions and $l_{1}$-norm Symmetric Distributions}, pages = {3059--3097}, volume = {37}, number = {5b}, year = {2009} } @Article{mcneil2008, author = {McNeil, A. J.}, journal = {Journal of Statistical Computation and Simulation}, pages = {567--581}, title = {Sampling Nested {A}rchimedean Copulas}, volume = {78}, series = {6}, year = {2008} } @Article{kemp1981, author = {Kemp, A. W.}, journal = {Journal of the Royal Statistical Society C}, pages = {249--253}, title = {Efficient Generation of Logarithmically Distributed Pseudo-Random Variables}, volume = {30}, number = {3}, year = {1981} } @Article{marshallolkin1988, author = {Marshall, A. W. and Olkin, I.}, journal = {Journal of the American Statistical Association}, pages = {834--841}, title = {Families of Multivariate Distributions}, volume = {83}, series = {403}, year = {1988} } @Article{kimberling1974, author = {Kimberling, C. H.}, journal = {Aequationes Mathematicae}, pages = {152--164}, title = {A Probabilistic Interpretation of Complete Monotonicity}, volume = {10}, year = {1974} } @Book{joe1997, author = {Joe, H.}, publisher = {Chapman {\&} Hall/CRC}, title = {Multivariate Models and Dependence Concepts}, year = {1997} } @Book{feller1971, author = {Feller, W.}, publisher = {John Wiley \& Sons}, edition = {2nd}, title = {An Introduction to Probability Theory and Its Applications}, volume = {2}, year = {1971} } @misc{embrechtslindskogmcneil2001, author={Embrechts, P. and Lindskog, F. and McNeil, A. J.}, title={{Modelling Dependence with Copulas and Applications to Risk Management}}, year={2001}, url={http://www.risklab.ch/ftp/papers/DependenceWithCopulas.pdf}, urldate={2009-12-30}} %% Achim Zeileis, editor of JSS, replaced the above with this one: @InCollection{embrechtslindskogmcneil2003, author = {Embrechts, P. and Lindskog, F. and McNeil, A. J.}, title = {Modelling Dependence with Copulas and Applications to Risk Management}, booktitle = {Handbook of Heavy Tailed Distributions in Finance}, year = 2003, publisher = {North-Holland}, isbn = {0-444-50896-1}, editor = {S. Rachev}, pages = {329--384} } @Article{copula1, title = {Enjoy the Joy of Copulas: With a Package \pkg{copula}}, author = {Jun Yan}, journal = {Journal of Statistical Software}, year = 2007, volume = 21, number = 4, pages = {1--21}, url = {http://www.jstatsoft.org/v21/i04/}, } @Article{copula2, title = {Modeling Multivariate Distributions with Continuous Margins Using the \pkg{copula} \proglang{R} Package}, author = {Ivan Kojadinovic and Jun Yan}, journal = {Journal of Statistical Software}, year = 2010, volume = 34, number = 9, pages = {1--20}, url = {http://www.jstatsoft.org/v34/i09/}, } @Manual{fCopulae, title = {\pkg{fCopulae}: Dependence Structures with Copulas}, author = {Diethelm Wuertz and others}, year = 2009, note = {\proglang{R}~package version~2110.78}, url = {http://CRAN.R-project.org/package=fCopulae}, } @Book{lattice, author = {Sarkar, D.}, title = {\pkg{lattice}: Multivariate Data Visualization with \proglang{R}}, publisher = {Springer-Verlag}, year = {2008}, address = {New York}, } @article{Hofert:Maechler:2010:JSSOBK:v39i09, author = "Marius Hofert and Martin Maechler", title = "Nested Archimedean Copulas Meet R: The nacopula Package", journal = "Journal of Statistical Software", volume = 39, number = 9, pages = "1--20", day = 9, month = 3, year = 2011, CODEN = "JSSOBK", ISSN = "1548-7660", bibdate = "2010-11-15", URL = "http://www.jstatsoft.org/v39/i09", accepted = "2010-11-15", submitted = "2010-07-01", }