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010 _a 2016499978
020 _a9780128042489
020 _a0128042486
040 _aBTCTA
_beng
_cBTCTA
_erda
_dYDXCP
_dBDX
_dFTU
_dOCLCO
_dOCLCF
_dJHE
_dDLC
_dBD-SySUS
050 0 0 _aQA314
_b.F35 2017
082 0 4 _a515.83
_223
100 1 _aFallahgoul, Hasan A.,
_eauthor.
_930792
245 1 0 _aFractional calculus and fractional processes with applications to financial economics :
_btheory and application /
_cHasan A. Fallahgoul, Sergio M. Focardi, Frank J. Fabozzi.
300 _ax, 105 pages :
_billustrations ;
_c24 cm
504 _aIncludes bibliographical references (pages 97-101) and index.
505 0 _aFractional Calculus and Fractional Processes with Applications to Financial Economics: Theory and Application; Copyright; Dedication ; About the Authors; Contents; List of illustrations; Part I Theory; 1 Fractional calculus and fractional processes: an overview; 1.1 Fractional calculus; 1.2 Fractional processes; 2 Fractional Calculus; 2.1 Different definitions for fractional derivatives; 2.2 Computation with Matlab; Key points of the chapter ; 3 Fractional Brownian Motion; 3.1 Definition; 3.2 Long-Range Dependency; 3.3 Self-Similarity; 3.4 Existence of Arbitrage
505 8 _aKey points of the chapter 4 Fractional Diffusion and Heavy Tail Distributions: Stable Distribution; 4.1 Univariate Stable Distribution; 4.2 Multivariate Stable Distribution; Key points of the chapter ; 5 Fractional Diffusion and Heavy Tail Distributions: Geo-Stable Distribution; 5.1 Univariate Geo-stable Distribution; 5.2 Multivariate Geo-stable Distribution; Key points of the chapter ; Part II Applications; 6 Fractional Partial Differential Equation and Option Pricing; 6.1 Option Pricing and Brownian Motion; 6.2 Option Pricing and the L�evy Process; Key points of the chapter
505 8 _a7 Continuous-Time Random Walk and Fractional Calculus7.1 Continuous-Time Random Walk; 7.2 Fractional Calculus and Probability Density Function; 7.3 Applications; Key points of the chapter ; 8 Applications of Fractional Processes; 8.1 Fractionally Integrated Time Series; 8.2 Stock-Returns and Volatility Processes; 8.3 Interest-Rate Processes; 8.4 Order Arrival Processes; Key points of the chapter ; References; Index ; Back Cover
650 0 _aFractional calculus.
_930793
650 0 _aFinance.
_930794
650 0 _aEconomics.
_930795
650 7 _aMATHEMATICS / Calculus.
_2bisacsh
_930796
650 7 _aMATHEMATICS / Mathematical Analysis.
_2bisacsh
_930797
650 7 _aBUSINESS & ECONOMICS / Business Mathematics.
_2bisacsh
_930798
650 7 _aEconomics.
_2fast
_930795
650 7 _aFinance.
_2fast
_930794
650 7 _aFractional calculus.
_2fast
_930793
700 1 _aFocardi, Sergio M.,
_eauthor.
_930799
700 1 _aFabozzi, Frank J.,
_eauthor.
_97467
942 _2ddc
_cBK
999 _c73811
_d73811