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Research Papers

Diffusive behavior and the modeling of characteristic times in limit order executions

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Pages 547-563 | Received 30 Jan 2007, Accepted 24 Jul 2008, Published online: 18 Jun 2009

References

  • Bedford , T . 2005 . “ Competing risk modeling in reliability. ” . In Modern Statistical and Mathematical Methods in Reliability (Series on Quality, Reliability and Engineering Statistics, Vol. 10) , Edited by: Wilson , A . Singapore : World Scientific .
  • Bernoulli , D . 1766 . Essai d'une nouvelle analyse de la mortalite causee par la petite verole. . Mem. Math. Phys. Acad. R. Sci. Paris , : 1 – 45 .
  • Biais , B , Glosten , L and Spatt , C . 2005 . Market microstructure: a survey of microfoundations, empirical results, and policy implications . J. Finan. Mkts , 8 : 217 – 264 .
  • Biais , B , Hillion , P and Spatt , C . 1995 . An empirical analysis of the limit order book and the order flow in the Paris bourse . J. Finan. , 50 : 1655 – 1689 .
  • Borland , L and Bouchaud , J-P . 2005 . On a multi-timescale statistical feedback model for volatility fluctuations. . physics/0507073 ,
  • Chakravarty , S and Holden , C . 1995 . An integrated model of market and limit orders . J. Finan. Intermed. , 4 : 213 – 241 .
  • Chakrabarty , B , Han , Z , Tyurin , K and Zheng , X . 2006 . A competing risk analysis of executions and cancellations in a limit order market. , CAEPR Working Paper 2006-015
  • Challet , D and Stinchcombe , R . 2001 . Analyzing and modeling 1+1d markets . Physica A , 300 : 285 – 299 .
  • Chechkin , AV , Metzler , R , Gonchar , VY , Klafter , J and Tanatarov , LV . 2003 . First passage and arrival time density for Lévy flights and the failure of the method of images . J. Phys. A , 36 : L537 – L544 .
  • Chiarella , C and Iori , G . 2002 . A simulation analysis of the microstructure of double auction markets . Quant. Finan. , 2 : 346 – 353 .
  • Cho , J-W and Nelling , E . 2000 . The probability of limit-order execution . Finan. Anal. J. , 56 ( 5 ) : 28 – 33 .
  • Daniels , MG , Farmer , JD , Iori , G and Smith , E . 2003 . Quantitative model of price diffusion and market friction based on trading as a mechanist random process . Phys. Rev. Lett. , 90 : 108102-1 – 108102-4 .
  • Eisler , Z and Kertész , J . 2006 . Size matters: some stylized facts of the stock market revisited . Eur. Phys. J. B , 51 : 145 – 154 . (also physics/0508156)
  • Eisler , Z and Kertész , J . 2007 . Liquidity and the multiscaling properties of the volume traded on the stock market . Europhys. Lett. , 77 : 28001
  • Embrechts , P , Klüppelberg , C and Mikosch , T . 1997 . Modeling Extremal Events for Insurance and Finance , Berlin : Springer .
  • Farmer , JD , Gillemot , L , Lillo , F , Mike , S and Sen , A . 2004 . What really causes large price changes? . Quant. Finan. , 4 : 383 – 397 .
  • Farmer , JD , Patelli , P and Zovko , II . 2005 . The predicitive power of zero intelligence in financial markets . Proc. Natn. Acad. Sci. U.S.A. , 102 : 2254 – 2259 .
  • Feller , W . 1967 . An Introduction to Probability Theory , 3rd , Vol. 1 , New York : Wiley .
  • Foucault , T . 1999 . Order flow composition and trading costs in a dynamic limit order book . J. Finan. Mkts , 2 : 99 – 134 .
  • Foucault , T , Kadan , O and Kandel , E . 2005 . Limit order book as a market for liquidity . Rev. Finan. Stud. , 18 : 1171 – 1271 .
  • Frees , EW and Valdez , EA . 1998 . Understanding relationships using copulas . North Am. Actuar. J. , 2 : 1 – 25 .
  • Glosten , L . 1994 . Is the electronic open limit order book inevitable? . J. Finan , 49 : 1127 – 1161 .
  • Handa , P and Schwartz , R . 1996 . Limit order trading . J. Finan. , 51 : 1835 – 1861 .
  • Harris , L and Hasbrouck , J . 1996 . Market vs. limit orders: the superDOT evidence on order submission strategy . J. Finan. Quant. Anal. , 31 : 213 – 231 .
  • Hill , BM . 1975 . A simple general approach to inference about the tail of a distribution . Ann. Statist. , 3 : 1163 – 1174 .
  • Hollifield , B , Miller , RA and Sandas , P . 2004 . Empirical analysis of limit order markets . Rev. Econ. Stud. , 71 : 1027 – 1063 .
  • Hollifield , B , Miller , RA , Sandas , P and Slive , J . 2006 . Estimating the gains from trade in limit-order markets . J. Finan. , 61 : 2753 – 2804 .
  • Kaplan , EL and Meier , P . 1958 . Nonparametric estimation from incomplete observations . J. Am. Statist. Assoc. , 53 : 457 – 481 .
  • Kavajecz , K . 1999 . A specialist's quoted depth and the limit order book . J. Finan. , 54 : 747 – 771 .
  • Kirman , AP . 1992 . Whom or what does the representative individual represent? . J. Econ. Perspect. , 6 : 117 – 136 .
  • Lee , JC . 2000 . Statistics for Business and Financial Economics , 2nd , Singapore : World Scientific .
  • Li Calzi , M and Pellizzari , P . 2003 . Fundamentalist clashing over the book: a study of order-driven stock markets . Quant. Finan. , 3 : 470 – 480 .
  • Lillo , F . 2007 . Limit order placement as an utility maximization problem and the origin of power law distribution of limit order prices . Eur. Phys. J. B , 55 : 453 – 459 .
  • Lo , AW , MacKinlay , AC and Zhang , J . 2002 . Econometric models of limit-order executions . J. Finan. Econometr. , 65 : 31 – 71 .
  • Luckock , H . 2003 . A steady-state model of the continuous double auction . Quant. Finan. , 3 : 385 – 404 .
  • Maslov , S and Mills , M . 2001 . Price fluctuations from the order book perspective–empirical facts and a simple model . Physica A , 299 : 234 – 246 .
  • Mike , S and Farmer , JD . 2008 . An empirical behavioral model of liquidity and volatility . J. Econ. Dynam. Control , 32 : 200 – 234 .
  • Montero , M , Perelló , J , Masoliver , J , Lillo , F , Micciché , S and Mantegna , RN . 2005 . Scaling and data collapse for the mean exit time of asset prices . Phys. Rev. E , 72 : 056101-1 – 056101-10 .
  • Parlour , C . 1998 . Price dynamics in a limit order market . Rev. Finan. Stud. , 11 : 789 – 816 .
  • Ponzi , AL , illo , F and Mantegna , RN . 2006 . Market reaction to temporary liquidity crises and the permanent market impact. . physics/0608032 ,
  • Potters , M and Bouchaud , J-P . 2003 . More statistical properties of order books and price impact . Physica A , 324 : 133 – 140 .
  • Redner , S . 2001 . A Guide to First-passage Processes , Cambridge : Cambridge University Press .
  • Roll , R . 1984 . A simple implicit measure of the effective bid–ask spread in an efficient market . J. Finan. , 39 : 1127 – 1140 .
  • Rosu , I . 2007 . A dynamic model of the limit order book. , Working paper University of Chicago .
  • Sandas , P . 2001 . Adverse selection and competitive market making: empirical evidence from a limit order market . Rev. Finan. Stud. , 14 : 704 – 734 .
  • Scalas , E . 2005 . The application of continuous-time random walks in finance and economics . Physica A , 362 : 225 – 239 .
  • Schmid , F and Schmidt , R . 2006 . Bootstrapping Spearman's multivariate rho . Proc. Compstat. , 6 : 759 – 766 .
  • Seppi , D . 1997 . Liquidity provision with limit orders and a strategic specialist . Rev. Finan. Stud. , 10 : 704 – 734 .
  • Seshadri , V and West , BJ . 1982 . Fractal dimensionality of Lévy processes . PNAS , 79 : 4501 – 4505 .
  • Simonsen , I , Jensen , MH and Johansen , A . 2002 . Optimal investment horizons . Eur. Phys. J. B , 27 : 583 – 586 .
  • Sokolov , IM and Metzler , R . 2004 . Non-uniqueness of the first passage time density of Lévy random processes . J. Phys. A , 37 : L609 – L615 .
  • Weber , P and Rosenow , B . 2005 . Order book approach to price impact . Quant. Finan. , 5 : 357 – 364 .
  • Wyart , M , Bouchaud , J-P , Kockelkoren , J , Potters , M and Vettorazzo , M . 2007 . Relation between bid–ask spread, impact and volatility in double auction markets . Quant. Finan. , 8 : 41 – 57 .

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