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@article{KOUTROUVELIS01011980,
author = {Koutrouvelis, I. A.},
title = {A goodness-of-fit test of simple hypotheses based on
the empirical characteristic function},
volume = 67,
number = 1,
pages = {238-240},
year = 1980,
doi = {10.1093/biomet/67.1.238},
abstract = {SUMMARY The empirical characteristic function φn(t)
and its asymptotic distribution are utilized to find
a chi-squared goodness-of-fit test for simple null
hypotheses. In addition the optimum number and
location of points t at which φn(t) has to be
evaluated is investigated for specified alternative
hypotheses.},
URL =
{http://biomet.oxfordjournals.org/content/67/1/238.abstract},
eprint =
{http://biomet.oxfordjournals.org/content/67/1/238.full.pdf+html},
journal = {Biometrika}
}
@Manual{RpackageVarianceGamma,
title = {VarianceGamma: The Variance Gamma Distribution},
author = {David Scott and Christine Yang Dong},
year = 2012,
note = {R package version 0.3-1},
url = {http://CRAN.R-project.org/package=VarianceGamma},
}
@Manual{Rsoftware,
title = {R: A Language and Environment for Statistical
Computing},
author = {{R Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = 2012,
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org/},
}
@ARTICLE{Singer:2009,
AUTHOR = {Singer, S. and Nelder, J. },
TITLE = {Nelder-Mead algorithm},
YEAR = 2009,
JOURNAL = {Scholarpedia},
VOLUME = 4,
NUMBER = 7,
PAGES = 2928,
URL = {http://dx.doi.org/10.4249/scholarpedia.2928}
}
@book{abramowitz1965handbook,
title = {Handbook of mathematical functions: with formulas,
graphs, and mathematical tables},
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volume = 55,
year = 1965,
publisher = {Dover publications}
}
@article{applebaum2004levy,
title = {L{\'e}vy processes: From probability to finance and
quantum groups},
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journal = {Notices of the AMS},
volume = 51,
number = 11,
pages = {1336--1347},
year = 2004
}
@book{bachelier1900theorie,
title = {Th{\'e}orie de la sp{\'e}culation},
author = {Bachelier, Louis},
year = 1900,
publisher = {Gauthier-Villars}
}
@book{barndorff2001levy,
title = {L{\'e}vy Processes: Theory and Applications},
author = {Barndorff-Nielsen, O.E.E. and Mikosch, T.E. and
Resnick, S.I.E.},
isbn = 9780817641672,
lccn = {lc00068064},
url = {http://books.google.ca/books?id=ExpTdTauXMwC},
year = 2001,
publisher = {Birkhäuser}
}
@article{berkson1980minimum,
title = {Minimum chi-square, not maximum likelihood!},
author = {Berkson, Joseph},
journal = {The Annals of Statistics},
pages = {457--487},
year = 1980,
publisher = {JSTOR}
}
@book{bingham2004risk,
title = {Risk-neutral valuation: Pricing and hedging of
financial derivatives},
author = {Bingham, Nicholas H and Kiesel, R{\"u}diger},
year = 2004,
publisher = {Springer}
}
@article{black1973pricing,
title = {The pricing of options and corporate liabilities},
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journal = {The journal of political economy},
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year = 1973,
publisher = {JSTOR}
}
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title = {The pricing of commodity contracts},
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@article{buckle1995bayesian,
title = {Bayesian inference for stable distributions},
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@book{butler2007saddlepoint,
title = {Saddlepoint approximations with applications},
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title = {Option valuation using the fast Fourier transform},
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@TechReport{derman1996modelrisk,
author = {Derman, Emanuel},
title = {Model Risk},
institution = {Goldman Sachs},
year = 1996
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@book{dodge2004statistique,
title = {Statistique: dictionnaire encyclop{\'e}dique},
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@article{epps1983test,
title = {A test for normality based on the empirical
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@book{epps2007pricing,
title = {Pricing derivative securities},
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title = {The Cambridge dictionary of statistics},
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@article{feuerverger1981efficiency,
title = {On the efficiency of empirical characteristic
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year = 1981,
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title = {Large-sample properties of parameter estimates for
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@book{gourieroux1989statistique,
title = {Statistique et mod{\`e}les {\'e}conom{\'e}triques:
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@article{hansen1982large,
title = {Large sample properties of generalized method of
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}
@article{henze1990approximation,
title = {An approximation to the limit distribution of the
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@article{heston1993closed,
title = {A closed-form solution for options with stochastic
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title = {Estimation of the Pareto law from underreported
data: A further analysis},
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title = {Introduction to mathematical statistics},
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lccn = 77002884,
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year = 1978,
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}
@book{hull1999options,
title = {Options, futures, and other derivatives},
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year = 1999,
publisher = {Pearson Education India}
}
@article{itkin2005pricing,
title = {Pricing options with VG model using FFT},
author = {Itkin, Andrey},
journal = {arXiv preprint physics/0503137},
year = 2005
}
@book{kotz2001laplace,
title = {The Laplace Distribution and Generalizations: A
Revisit With Applications to Communications,
Exonomics, Engineering, and Finance},
author = {Kotz, S. and Kozubowski, T.J. and Podg{\'o}rski, K.},
isbn = 9780817641665,
lccn = 00068900,
series = {Progress in Mathematics Series},
url = {http://books.google.ca/books?id=cb8B07hwULUC},
year = 2001,
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}
@article{kozubowski1999class,
title = {A class of asymmetric distributions},
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@article{kozubowski2001asymmetric,
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@book{kyprianou2007introductory,
title = {Introductory lectures on fluctuations of L{\'e}vy
processes with applications},
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year = 2007,
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@article{lugannani1980saddle,
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@book{lukacs1960characteristic,
title = {Characteristic functions},
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title = {L{\'e}vy Processes and Infinitely Divisible
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@Manual{thevolskew,
title = {The Volatility Skew},
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@phdthesis{torczon1989multi,
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title={Topics in Real and Functional analysis},
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@inproceedings{walterlevy,
title={Levy-stability-under-addition and fractal structure of markets: imlications for the actuaries and emphasized axamination of MATIF national contract},
author={Walter, Christian}
}