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Koutrouvelis", Journal = "{B}iometrika", Number = 1, Pages = "238--240", Publisher = "Biometrika Trust", Title = "{{A} {G}oodness-{O}f-{F}it {T}est of {S}imple {H}ypotheses {B}ased on the {E}mpirical {C}haracteristic {F}unction}", Volume = 67, Year = 1980 } @Manual{RpackageVarianceGamma, Author = "David Scott and Christine Yang Dong", Note = "R package version 0.3-1", Title = "{{v}ariancegamma: {T}he {V}ariance {G}amma {D}istribution}", Url = "http://CRAN.R-project.org/package=VarianceGamma", Year = 2012 } @Manual{Rsoftware, Address = "Vienna, Austria", Author = "{R Core Team}", Organization = "R Foundation for Statistical Computing", Title = "{{R}: A {L}anguage and {E}nvironment for {S}tatistical {C}omputing}", Url = "http://www.R-project.org", Year = 2012 } @Article{Singer:2009, Author = "Sa\v{s}a Singer and John Nelder", Journal = "Scholarpedia", Number = 7, Pages = 2928, Publisher = "Scholarpedia", Title = "{N}elder-{M}ead {A}lgorithm", Volume = 4, Year = 2009 } @Book{abramowitz1965handbook, Author = "Milton Abramowitz and Irene A. 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Barndorff-Nielsen", Publisher = "Birkh{\"a}user", Title = "{L}{\'e}vy {P}rocesses: {T}heory and {A}pplications", Year = 2001 } @Article{berkson1980minimum, Author = "Joseph Berkson", Journal = "The Annals of Statistics", Pages = "457--487", Publisher = "Institute of Mathematical Statistics", Title = "{M}inimum {C}hi-Square, not {M}aximum {L}ikelihood!", Year = 1980 } @Book{bingham2004risk, Author = "Nicholas H. Bingham and R{\"u}diger Kiesel", Publisher = "Springer", Title = "{R}isk-Neutral {V}aluation: {P}ricing and {H}edging of {F}inancial {D}erivatives", Year = 2004 } @Article{black1973pricing, Author = "Fischer Black and Myron Scholes", Journal = "The Journal of Political Economy", Pages = "637--654", Publisher = "University of Chicago Press", Title = "{T}he {P}ricing of {O}ptions and {C}orporate {L}iabilities", Year = 1973 } @Article{black1976pricing, Author = "Fischer Black", Journal = "Journal of Financial Economics", Number = 1, Pages = "167--179", Publisher = "Elsevier", Title = "{T}he {P}ricing of {C}ommodity {C}ontracts", Volume = 3, Year = 1976 } @Article{buckle1995bayesian, Author = "D. J. Buckle", Journal = "Journal of the American Statistical Association", Number = 430, Pages = "605--613", Publisher = "Taylor \& Francis Group", Title = "{B}ayesian {I}nference for {S}table {D}istributions", Volume = 90, Year = 1995 } @Book{butler2007saddlepoint, Author = "Ronald W. 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Pulley", Journal = "Biometrika", Number = 3, Pages = "723--726", Publisher = "Biometrika Trust", Title = "{A} {T}est for {N}ormality {B}ased on the {E}mpirical {C}haracteristic {F}unction", Volume = 70, Year = 1983 } @Book{epps2007pricing, Author = "Thomas W. Epps", Publisher = "World Scientific Publishing Company incorporated", Title = "{P}ricing {D}erivative {S}ecurities", Year = 2007 } @Book{everitt2006cambridge, Author = "Brian Everitt and Anders Skrondal", Publisher = "Cambridge University Press", Title = "{T}he {C}ambridge {D}ictionary of {S}tatistics", Volume = 4, Year = 2006 } @Article{fama1993common, Author = "Eugene F. Fama and Kenneth R. 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Kozubowski and Krzysztof Podg{\'o}rski", Journal = "{M}athematical and {C}omputer {M}odeling", Number = 9, Pages = "1003--1021", Publisher = "Elsevier", Title = "{A}symmetric {L}aplace {L}aws and {M}odeling {F}inancial {D}ata", Volume = 34, Year = 2001 } @Book{kyprianou2007introductory, Author = "Andreas E. Kyprianou", Publisher = "Springer", Title = "{I}ntroductory {L}ectures on {F}luctuations of {L}{\'e}vy {P}rocesses with {A}pplications", Year = 2007 } @Article{lugannani1980saddle, Author = "Robert Lugannani and Stephen Rice", Journal = "Advances in Applied Probability", Pages = "475--490", Publisher = "Applied Probability Trust", Title = "{S}addle {P}oint {A}pproximation for the {D}istribution of the {S}um of {I}ndependent {R}andom {V}ariables", Year = 1980 } @Book{lukacs1960characteristic, Author = "Eugene Lukacs", Publisher = "Griffin London", Title = "{C}haracteristic {F}unctions", Volume = 4, Year = 1960 } @Article{luong1987minimum, Author = "Andrew Luong and Mary E. 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Mitchell", Journal = "The Journal of Political Economy", Pages = "625--693", Publisher = "University of Chicago Press", Title = "{A} {C}ritique of {I}ndex {N}umbers of the {P}rices of {S}tocks", Year = 1916 } @Book{musiela2005martingale, Author = "Marek Musiela and Marek Rutkowski", Publisher = "Springer", Title = "{M}artingale {M}ethods in {F}inancial {M}odelling", Volume = 36, Year = 2005 } @Article{newey1987hypothesis, Author = "Whitney K. Newey and Kenneth D. West", Journal = "International Economic Review", Number = 3, Pages = "777--787", Publisher = "Blackwell Publishing ", Title = "{H}ypothesis {T}esting with {E}fficient {M}ethod of {M}oments {E}stimation", Volume = 28, Year = 1987 } @Article{newey1994large, Author = "Whitney K. 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Wilk", Journal = "Biometrika", Number = "3/4", Pages = "591--611", Publisher = "Biometrika Trust", Title = "{A}n {A}nalysis of {V}ariance {T}est for {N}ormality ({C}omplete {S}amples)", Volume = 52, Year = 1965 } @Article{shephard1991characteristic, Author = "Neil G. Shephard", Journal = "Econometric Theory", Number = 04, Pages = "519--529", Publisher = "Cambridge University Press", Title = "{F}rom {C}haracteristic {F}unction to {D}istribution {F}unction: {A} {S}imple {F}ramework for the {T}heory", Volume = 7, Year = 1991 } @Book{spiegel1999schaum, Author = "Murray R. Spiegel and John Liu", Publisher = "McGraw-Hill", Title = "{S}chaum's {M}athematical {H}andbook of {F}ormulas and {T}ables", Volume = 1000, Year = 1999 } @Book{stuart1987kendall, Author = "Alan Stuart and J. Keith Ord", Publisher = "Oxford University Press", Title = "{K}endall{\rq}s {A}dvanced {T}heory of {S}tatistics, {V}ol. 1", Year = 1987 } @Unpublished{teschl2004topics, Author = "Gerald Teschl", Title = "{T}opics in {R}eal and {F}unctional {A}nalysis", Url = "http://www.mat.univie.ac.at/~gerald/ftp/book-fa/index.html", Year = 2004 } @Phdthesis{torczon1989multi, Author = "Virginia Joanne Torczon", Title = "{M}ulti-directional {S}earch: {A} {D}irect {S}earch {A}lgorithm for {P}arallel {M}achines", Year = 1989 } @Inproceedings{walterlevy, Author = "Christian Walter", Booktitle = "Proceedings of the 5th AFIR colloquium", Publisher = "International Actuarial Association ", Title = "{L}{\'e}vy-{S}tability {U}nder {A}ddition and {F}ractal {S}tructure of {M}arkets: {I}mplications for the {A}ctuaries and {E}mphasized {E}xamination of {MATIF} {N}ational {C}ontract", Year = 1995 } @Article{wang2003evaluating, Author = "Wai Wan Tsang {Jingbo Wang} and George Marsaglia", Journal = "Journal of Statistical Software", Number = 18, Pages = "1--4", Publisher = "American Statistical Association", Title = "{E}valuating {K}olmogorov's {D}istribution", Volume = 8, Year = 2003 } @Article{wendel1961non, Author = "J. 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