Stochastic models and numerical algorithms for a class of regulatory gene networks
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刊名简称刊名全称ISSN小类名称(中文)0269-9648工程:工业PROBABILITY IN THE ENGINEERING AND INFORPROBAB ENG INFORAPPL MATH MODEL A PPLIED MATHEMATICAL MODELLING0307-904X工程:综合0927-6467工程:综合RUSS J NUMER ANARUSSIAN JOURNAL OF NUMERICAL ANALYSIS AN1239-6095环境科学ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MBOREAL ENVIRON R0167-9473计算机:跨学科应用COMPUT STAT DATACOMPUTATIONAL STATISTICS & DATA ANALYSISJ COMB OPTIM JOURNAL OF COMBINATORIAL OPTIMIZATION1382-6905计算机:跨学科应用0094-9655计算机:跨学科应用J STAT COMPUT SIJOURNAL OF STATISTICAL COMPUTATION AND S1387-3954计算机:跨学科应用MATH COMP MODELMATHEMATICAL AND COMPUTER MODELLING OF DMATHEMATICAL AND COMPUTER MODELLING0895-7177计算机:跨学科应用MATH COMPUT MODEMATHEMATICS AND COMPUTERS IN SIMULATION0378-4754计算机:跨学科应用MATH COMPUT SIMUQUEUEING SYST QUEUEING SYSTEMS0257-0130计算机:跨学科应用1615-3375计算机:理论方法FOUNDATIONS OF COMPUTATIONAL MATHEMATICSFOUND COMPUT MATFUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114计算机:理论方法COMPUT COMPLEXCOMPUTATIONAL COMPLEXITY1016-3328计算机:理论方法STAT COMPUT STATISTICS AND 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SIMULATION1540-3459数学跨学科应用MULTISCALE MODELMULTIVAR BEHAV RMULTIVARIATE BEHAVIORAL RESEARCH0027-3171数学跨学科应用RISK ANAL RISK ANALYSIS0272-4332数学跨学科应用APPL MATH MODEL A PPLIED MATHEMATICAL MODELLING0307-904X数学跨学科应用BAYESIAN ANAL Bayesian Analysis1931-6690数学跨学科应用EXTREMES Extremes1386-1999数学跨学科应用J CLASSIF JOURNAL OF CLASSIFICATION0176-4268数学跨学科应用MATH FINANC MATHEMATICAL FINANCE0960-1627数学跨学科应用Networks and Heterogeneous Media 1556-1801数学跨学科应用NETW HETEROG MEDPSYCHOMETRIKA PSYCHOMETRIKA0033-3123数学跨学科应用APPLIED STOCHASTIC MODELS IN BUSINESS AN1524-1904数学跨学科应用APPL STOCH MODELASTIN BULL Astin Bulletin0515-0361数学跨学科应用0392-4432数学跨学科应用B STOR SCI MATBollettino di Storia delle Scienze Matem0218-348X数学跨学科应用FRACTALS FRACTALS-COMPLEX GEOMETRY PATTERNS AND SIMA Journal of Management Mathematics1471-678X数学跨学科应用IMA J MANAG MATH0218-1274数学跨学科应用INTERNATIONAL JOURNAL OF BIFURCATION ANDINT J BIFURCAT CINTERNATIONAL JOURNAL OF GAME THEORY0020-7276数学跨学科应用INT J GAME THEORJ GREY SYST-UK Journal of Grey System 0957-3720数学跨学科应用J MATH MUSIC Journal of Mathematics and Music1745-9737数学跨学科应用J MATH SOCIOL JOURNAL OF MATHEMATICAL SOCIOLOGY0022-250X数学跨学科应用1009-6124数学跨学科应用Journal of Systems Science & ComplexityJ SYST SCI COMPLJ TIME SER ANAL J OURNAL OF TIME SERIES ANALYSIS0143-9782数学跨学科应用LIFETIME DATA ANALYSIS1380-7870数学跨学科应用LIFETIME DATA AN0973-5348数学跨学科应用MATH MODEL NAT PMathematical Modelling of Natural PhenomMATH POPUL STUD M athematical Population Studies0889-8480数学跨学科应用MATH SOC SCI MATHEMATICAL SOCIAL SCIENCES0165-4896数学跨学科应用1392-5113数学跨学科应用NONLINEAR ANAL-MNonlinear Analysis-Modelling and ControlSCAND ACTUAR JScandinavian Actuarial Journal0346-1238数学跨学科应用STAT INTERFACEStatistics and Its Interface1938-7989数学跨学科应用0973-5348数学与计算生物学MATH MODEL NAT PMathematical Modelling of Natural PhenomSTAT INTERFACEStatistics and Its Interface1938-7989数学与计算生物学ANN STAT ANNALS OF STATISTICS0090-5364统计学与概率论0162-1459统计学与概率论J AM STAT ASSOC J OURNAL OF THE AMERICAN STATISTICAL ASSO1369-7412统计学与概率论J R STAT SOC BJOURNAL OF THE ROYAL STATISTICAL SOCIETYSTAT SCI STATISTICAL SCIENCE0883-4237统计学与概率论FUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114统计学与概率论0735-0015统计学与概率论J BUS ECON STAT J OURNAL OF BUSINESS & ECONOMIC STATISTIC0964-1998统计学与概率论JOURNAL OF THE ROYAL STATISTICAL SOCIETYJ R STAT SOC A SMULTIVARIATE BEHAVIORAL RESEARCH0027-3171统计学与概率论MULTIVAR BEHAV RSTATA J Stata Journal1536-867X统计学与概率论AM STAT AMERICAN STATISTICIAN0003-1305统计学与概率论ANN APPL PROBAB A NNALS OF APPLIED PROBABILITY1050-5164统计学与概率论ANN PROBAB ANNALS OF PROBABILITY0091-1798统计学与概率论BAYESIAN ANAL Bayesian Analysis1931-6690统计学与概率论BERNOULLI BERNOULLI1350-7265统计学与概率论ELECTRONIC JOURNAL OF PROBABILITY1083-6489统计学与概率论ELECTRON J PROBAELECTRON J STAT E lectronic Journal of Statistics1935-7524统计学与概率论EXTREMES Extremes1386-1999统计学与概率论1061-8600统计学与概率论JOURNAL OF COMPUTATIONAL AND GRAPHICAL SJ COMPUT GRAPH SPROBABILITY THEORY AND RELATED FIELDS0178-8051统计学与概率论PROBAB THEORY RESCAND J STAT SCANDINAVIAN JOURNAL OF STATISTICS0303-6898统计学与概率论STAT COMPUT STATISTICS AND COMPUTING0960-3174统计学与概率论0304-4149统计学与概率论STOCH PROC APPL S TOCHASTIC PROCESSES AND THEIR APPLICATITEST TEST1133-0686统计学与概率论ADV APPL PROBAB A DVANCES IN APPLIED PROBABILITY0001-8678统计学与概率论1862-5347统计学与概率论ADV DATA ANAL CLAdvances in Data Analysis and Classifica0246-0203统计学与概率论ANN I H POINCAREANNALES DE L INSTITUT HENRI POINCARE-PRO0020-3157统计学与概率论ANN I STAT MATH A NNALS OF THE INSTITUTE OF STATISTICAL M1524-1904统计学与概率论APPLIED STOCHASTIC MODELS IN BUSINESS ANAPPL STOCH MODELAStA-Advances in Statistical Analysis1863-8171统计学与概率论ASTA-ADV STAT ANASTIN BULL Astin Bulletin0515-0361统计学与概率论1369-1473统计学与概率论AUST NZ J STATAUSTRALIAN & NEW ZEALAND JOURNAL OF STAT0319-5724统计学与概率论CAN J STAT CANADIAN JOURNAL OF STATISTICS-REVUE CANCOMBINATORICS PROBABILITY & COMPUTING0963-5483统计学与概率论COMB PROBAB COMP0361-0918统计学与概率论COMMUNICATIONS IN STATISTICS-SIMULATIONCOMMUN STAT-SIMU0361-0926统计学与概率论COMMUNICATIONS IN STATISTICS-THEORY ANDCOMMUN STAT-THEO0167-9473统计学与概率论COMPUT STAT DATACOMPUTATIONAL STATISTICS & DATA ANALYSISCOMPUTATIONAL STATISTICS0943-4062统计学与概率论COMPUTATION STATHacettepe Journal of Mathematics and Sta1303-5010统计学与概率论HACET J MATH STA0219-0257统计学与概率论INFINITE DIMENSIONAL ANALYSIS QUANTUM PRINFIN DIMENS ANAINTERNATIONAL JOURNAL OF GAME THEORY0020-7276统计学与概率论INT J GAME THEORINT STAT REV INTERNATIONAL STATISTICAL REVIEW0306-7734统计学与概率论J APPL PROBAB JOURNAL OF APPLIED PROBABILITY0021-9002统计学与概率论J APPL STAT JOURNAL OF APPLIED STATISTICS0266-4763统计学与概率论1226-3192统计学与概率论J KOREAN STAT SOJournal of the Korean Statistical SocietJOURNAL OF MULTIVARIATE ANALYSIS0047-259X统计学与概率论J MULTIVARIATE AJ NONPARAMETR STJOURNAL OF NONPARAMETRIC STATISTICS1048-5252统计学与概率论J OFF STAT Journal of Official Statistics0282-423X统计学与概率论0035-9254统计学与概率论JOURNAL OF THE ROYAL STATISTICAL SOCIETYJ R STAT SOC C-A0094-9655统计学与概率论JOURNAL OF STATISTICAL COMPUTATION AND SJ STAT COMPUT SIJOURNAL OF STATISTICAL PLANNING AND INFE0378-3758统计学与概率论J STAT PLAN INFEJ THEOR PROBABJOURNAL OF THEORETICAL PROBABILITY0894-9840统计学与概率论J TIME SER ANAL J OURNAL OF TIME SERIES ANALYSIS0143-9782统计学与概率论LIFETIME DATA ANALYSIS1380-7870统计学与概率论LIFETIME DATA ANMATH POPUL STUD M athematical Population Studies0889-8480统计学与概率论METHODOL COMPUT1387-5841统计学与概率论METHODOLOGY AND COMPUTING IN APPLIED PROMETRIKA METRIKA0026-1335统计学与概率论PAK J STAT Pakistan Journal of Statistics1012-9367统计学与概率论0269-9648统计学与概率论PROBABILITY IN THE ENGINEERING AND INFORPROBAB ENG INFORRevista Colombiana de Estadistica0120-1751统计学与概率论REV COLOMB ESTADREVSTAT-STAT JREVSTAT-Statistical Journal1645-6726统计学与概率论SCAND ACTUAR JScandinavian Actuarial Journal0346-1238统计学与概率论Statistical Methods and Applications1618-2510统计学与概率论STAT METHOD APPLSTAT MODEL STATISTICAL MODELLING1471-082X统计学与概率论STAT NEERL STATISTICA NEERLANDICA0039-0402统计学与概率论STAT PAP STATISTICAL PAPERS0932-5026统计学与概率论STATISTICS & PROBABILITY LETTERS0167-7152统计学与概率论STAT PROBABIL LESTAT SINICA STATISTICA SINICA1017-0405统计学与概率论STATISTICS STATISTICS0233-1888统计学与概率论STOCH ANAL APPL S TOCHASTIC ANALYSIS AND APPLICATIONS0736-2994统计学与概率论STOCH DYNAM Stochastics and Dynamics 0219-4937统计学与概率论STOCH MODELS STOCHASTIC MODELS1532-6349统计学与概率论1744-2508统计学与概率论STOCHASTICS Stochastics-An International Journal ofSURV METHODOL Survey Methodology 0714-0045统计学与概率论0040-585X统计学与概率论THEORY OF PROBABILITY AND ITS APPLICATIOTHEOR PROBAB APPUTILITAS MATHEMAUTILITAS MATHEMATICA0315-3681统计学与概率论Journal of Noncommutative Geometry1661-6952物理:数学物理J NONCOMMUT GEOMJ NONLINEAR SCI J OURNAL OF NONLINEAR SCIENCE0938-8974物理:数学物理MULTISCALE MODELING & SIMULATION1540-3459物理:数学物理MULTISCALE MODELINVERSE PROBL INVERSE PROBLEMS0266-5611物理:数学物理Inverse Problems and Imaging1930-8337物理:数学物理INVERSE PROBL IMAdvances in Applied Clifford Algebras0188-7009物理:数学物理ADV APPL CLIFFOR1935-0090物理:数学物理Applied Mathematics & Information SciencAPPL MATH INFORM1559-3940物理:数学物理Communications in Applied Mathematics anCOMM APP MATH COCOMPUTATIONAL MATHEMATICS AND MATHEMATIC0965-5425物理:数学物理COMP MATH MATH PINFINITE DIMENSIONAL ANALYSIS QUANTUM PR0219-0257物理:数学物理INFIN DIMENS ANA0219-8916物理:数学物理Journal of Hyperbolic Differential EquatJ HYPERBOL DIFFE1812-9471物理:数学物理Journal of Mathematical Physics AnalysisJ MATH PHYS ANAL1385-0172物理:数学物理MATHEMATICAL PHYSICS ANALYSIS AND GEOMETMATH PHYS ANAL GNONLINEAR OSCIL N onlinear Oscillations1536-0059物理:数学物理1223-7027物理:综合University Politehnica of Bucharest ScieU POLITEH BUCH SABSTR APPL ANAL A bstract and Applied Analysis 1085-3375应用数学0010-3640应用数学COMMUN PUR APPLCOMMUNICATIONS ON PURE AND APPLIED MATHE0021-7824应用数学JOURNAL DE MATHEMATIQUES PURES ET APPLIQJ MATH PURE APPL0218-2025应用数学MATHEMATICAL MODELS & METHODS IN APPLIEDMATH MOD METH APNONLINEAR ANALYSIS-REAL WORLD APPLICATIO1468-1218应用数学NONLINEAR ANAL-RSIAM REV SIAM REVIEW0036-1445应用数学ADV COMPUT MATH A DVANCES IN COMPUTATIONAL MATHEMATICS1019-7168应用数学Aequationes Mathematicae0001-9054应用数学AEQUATIONES MATHANAL APPL Analysis and Applications0219-5305应用数学ANAL PDE Analysis & PDE1948-206X应用数学ANNALI DI MATEMATICA PURA ED APPLICATA 0373-3114应用数学ANN MAT PUR APPLAPPL MATH COMPUTAPPLIED MATHEMATICS AND COMPUTATION0096-3003应用数学Boundary Value Problems 1687-2762应用数学BOUND VALUE PROBCALCULUS OF VARIATIONS AND PARTIAL DIFFE0944-2669应用数学CALC VAR PARTIALCarpathian Journal of Mathematics1584-2851应用数学CARPATHIAN J MAT0219-1997应用数学COMMUN CONTEMP MCOMMUNICATIONS IN CONTEMPORARY MATHEMATI0360-5302应用数学COMMUN PART DIFFCOMMUNICATIONS IN PARTIAL DIFFERENTIAL E0925-7721应用数学COMPUTATIONAL GEOMETRY-THEORY AND APPLICCOMP GEOM-THEOR1078-0947应用数学DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMDISCRETE CONT DY0764-583X应用数学ESAIM-MATHEMATICAL MODELLING AND NUMERICESAIM-MATH MODELFixed Point Theory 1583-5022应用数学FIXED POINT THEOFixed Point Theory and Applications 1687-1820应用数学FIXED POINT THEO1615-3375应用数学FOUNDATIONS OF COMPUTATIONAL MATHEMATICSFOUND COMPUT MATFUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114应用数学IMA JOURNAL OF NUMERICAL ANALYSIS0272-4979应用数学IMA J NUMER ANALInternational Journal of Numerical Analy1705-5105应用数学INT J NUMER ANAL1040-7294应用数学Journal of Dynamics and Differential EquJ DYN DIFFER EQU1435-9855应用数学J EUR MATH SOCJOURNAL OF THE EUROPEAN MATHEMATICAL SOCJ FOURIER ANAL A1069-5869应用数学JOURNAL OF FOURIER ANALYSIS AND APPLICATJ GLOBAL OPTIMJOURNAL OF GLOBAL OPTIMIZATION0925-5001应用数学JOURNAL OF MATHEMATICAL ANALYSIS AND APP0022-247X应用数学J MATH ANAL APPLJ MOD DYNAM Journal of Modern Dynamics1930-5311应用数学Journal of Noncommutative Geometry1661-6952应用数学J NONCOMMUT GEOMJ NONLINEAR SCI J OURNAL OF NONLINEAR SCIENCE0938-8974应用数学J SCI COMPUT JOURNAL OF SCIENTIFIC COMPUTING0885-7474应用数学KINET RELAT MOD K inetic and Related Models1937-5093应用数学。
1Lea Popovic:CanadianLanguages:French,GermanEducation•Postdoctoral Fellow,Institute of Mathematics and its Applications,University of Minnesota,(2003-2005)·Thematic year:”Probability and Statistics in Complex Systems”◦Visiting researcher,Mathematics Institute,Erlangen-Nurnberg University(6/-7/2004)•Postdoctoral Fellow,Department of Mathematics,Cornell University(2005-2007)·Postdoctoral Advisor:Rick DurrettResearch Interests•NSF-DMS#0553701,co-PI,Focused Research Group with:T.Kurtz,G.Rempala,G.Craciun,(2006-2009)PublicationsManuscripts in PreparationOberwolfach/Meeting on Branching Processes,Oberwolfach,Germany(7/2003)AIM/Workshop on Geometry of Biological Phenomena,Palo Alto,CA(6/2003)Bernoulli Society Congress/IMS Meeting,Barcelona,Spain(8/2004)MSRI/Workshop on Real World Networks,Berkeley,CA(4/2005)Workshop on Stochastic Models in Cell Biology,Ithaca,NY(4/2006)SIAM/SMB Life Sciences Conference,Raleigh,NC(8/2006)Teaching Experience◦University Scholarship,University of Toronto(1994,1995,1996)•Chancellors Medal,University of Toronto(1997)◦Summer Undergraduate Research Fellowship,California Institute of Technology(1996)◦NSERC Undergraduate Student Research Award(1995,1996)◦NSERC Postgraduate Student Fellowship(1997)◦University Science Fellowship&University Prize,Princeton University(1997)◦Loeve Prize in Probability,Department of Statistics University of California Berkeley(1998)•Outstanding Student Instructor Award,University of California Berkeley(2000)Organizational Activities1.David Aldous,Dept of Statistics,University of California Berkeley,aldous@2.Tom Kurtz,Dept of Mathematics,University of Wisconsin Madison,kurtz@3.Andreas Greven,Mathematics Institute,Erlangen-Nurnberg University,greven@mi.uni-erlangen.de4.Rick Durrett,Dept of Mathematics,Cornell University,durrett@5.[teaching]John Rice,Dept of Statistics,University of California Berkeley,rice@August18,2006。
金融博士书目经济学、金融学博士书目(A:数学分析微分方程矩阵代数)微观金融学包括金融市场及金融机构研究、投资学金融工程学金融经济学、公司金融财务管理等方面,宏观金融学包括货币经济学货币银行学、国际金融学等方面,实证和数量方法包括数理金融学、金融计量经济学等方面,以下书目侧重数学基础、经济理论和数理金融学部分。
◎函数与分析《什么是数学》,牛津丛书●集合论Paul R. Halmos,Naive Set Theory 朴素集合论(美)哈莫斯(好书,深入浅出但过简洁)集合论(英文版)Thomas Jech(有深度)Moschovakis,Notes on Set Theory集合论基础(英文版)——图灵原版数学·统计学系列(美)恩德滕●数学分析○微积分Tom M. Apostol, Calculus vol Ⅰ&Ⅱ(数学家写的经典高等微积分教材/参考书,写法严谨,40年未再版,致力于更深刻的理解,去除微积分和数学分析间隔,衔接分析学、微分方程、线性代数、微分几何和概率论等的学习,学实分析的前奏,线性代数应用最好的多元微积分书,练习很棒,对初学者会难读难懂,但具有其他教材无法具备的优点。
Stewart 的书范围相同,也较简单。
)Carol and Robert Ash,The Calculus Tutoring Book(不错的微积分辅导教材)R. Courant, F. John, Introduction to Calculus and Analysis vol Ⅰ&Ⅱ(适合工科,物理和应用多)Morris Kline,Calculus, an intuitive approachRon LarsonCalculus (With Analytic Geometry(微积分入门教材,难得的清晰简化,与Stewart同为流行教材)《高等微积分》Lynn H.Loomis / Shlomo StermbergMorris Kline,Calculus: An Intuitive and Physical Approach (解释清晰的辅导教材)Richard Silverman,Modern Calculus with Analytic GeometryMichael,Spivak,Calculus(有趣味,适合数学系,读完它或者Stewart的就可以读Rudin 的Principles of Mathematical Analysis 或者Marsden的Elementary Classical Analysis,然后读Royden的Real Analysis学勒贝格积分和测度论或者Rudin的Functional Analysis 学习巴拿赫和希尔伯特空间上的算子和谱理论)James Stewart,Calculus(流行教材,适合理科及数学系,可以用Larson书补充,但解释比它略好,如果觉得难就用Larson的吧)Earl W. Swokowski,Cengage Advantage Books: Calculus: The Classic Edition(适合工科)Silvanus P. Thompson,Calculus Made Easy(适合微积分初学者,易读易懂)○实分析(数学本科实变分析水平)(比较静态分析)Understanding Analysis,Stephen Abbott,(实分析入门好书,虽然不面面俱到但清晰简明,Rudin, Bartle, Browder等人毕竟不擅于写入门书,多维讲得少)T. M. Apostol, Mathematical AnalysisProblems in Real Analysis 实分析习题集(美)阿里普兰斯,(美)伯金肖《数学分析》方企勤,北大胡适耕,实变函数《分析学》Elliott H. Lieb / Michael LossH. L. Royden, Real AnalysisW. Rudin, Principles of Mathematical AnalysisElias M.Stein,Rami Shakarchi, Real Analysis:MeasureTheory,Integration and Hilbert Spaces,实分析(英文版) 《数学分析八讲》辛钦《数学分析新讲》张筑生,北大社周民强,实变函数论,北大周民强《数学分析》上海科技社○测度论(与实变分析有重叠)概率与测度论(英文版)(美)阿什(Ash.R.B.),(美)多朗-戴德(Doleans-Dade,C.A.)?Halmos,Measure Theory,测度论(英文版)(德)霍尔姆斯○傅里叶分析(实变分析和小波分析各有一半)小波分析导论(美)崔锦泰H. Davis, Fourier Series and Orthogonal FunctionsFolland,Real Analysis:Modern Techniques and Their ApplicationsFolland,Fourier Analysis and its Applications,数学物理方程:傅里叶分析及其应用(英文版)——时代教育.国外高校优秀教材精选(美)傅兰德傅里叶分析(英文版)——时代教育·国外高校优秀教材精选(美)格拉法科斯B. B. Hubbard, The World According to Wavelets: The Story of a Mathematical Technique in the MakingKatanelson,An Introduction to Harmonic AnalysisR. T. Seeley, An Introduction to Fourier Series and IntegralsStein,Shakarchi,Fourier Analysis:An Introduction○复分析(数学本科复变函数水平)L. V. Ahlfors, Complex Analysis ,复分析——华章数学译丛,(美)阿尔福斯(Ahlfors,L.V.)Brown,Churchill,Complex Variables and Applications Convey, Functions of One Complex Variable Ⅰ&Ⅱ《简明复分析》龚升, 北大社Greene,Krantz,Function Theory of One Complex VariableMarsden,Hoffman,Basic Complex AnalysisPalka,An Introduction to Complex Function TheoryW. Rudin, Real and Complex Analysis 《实分析与复分析》鲁丁(公认标准教材,最好有测度论基础)Siegels,Complex VariablesStein,Shakarchi,Complex Analysis 《复变函数》庄坼泰●泛函分析(资产组合的价值)○基础泛函分析(实变函数、算子理论和小波分析)实变函数与泛函分析基础,程其衰,高教社Friedman,Foundations of Modern Analysis《实变与泛函》胡适耕《泛函分析引论及其应用》克里兹格泛函分析习题集(印)克里希南Problems and methods in analysis,Krysicki夏道行,泛函分析第二教程,高教社夏道行,实变函数与泛函分析《数学分析习题集》谢惠民,高教社泛函分析·第6版(英文版) K.Yosida《泛函分析讲义》张恭庆,北大社○高级泛函分析(算子理论)J.B.Conway, A Course in Functional Analysis,泛函分析教程(英文版)Lax,Functional AnalysisRudin,Functional Analysis,泛函分析(英文版)[美]鲁丁(分布和傅立叶变换经典,要有拓扑基础)Zimmer,Essential Results of Functional Analysis○小波分析Daubeches,Ten Lectures on WaveletsFrazier,An Introduction to Wavelets Throughout Linear Algebra Hernandez,《时间序列的小波方法》PercivalPinsky,Introduction to Fourier Analysis and WaveletsWeiss,A First Course on WaveletsWojtaszczyk,An Mathematical Introduction to Wavelets Analysis●微分方程(期权定价、动态分析)○常微分方程和偏微分方程(微分方程稳定性,最优消费组合)V. I. Arnold, Ordinary Differential Equations,常微分方程(英文版)(现代化,较难)W. F. Boyce, R. C. Diprima, Elementary Differential Equations and Boundary Value Problems《数学物理方程》陈恕行,复旦E. A. Coddington, Theory of ordinary differential equationsA. A. Dezin, Partial differential equationsL. C. Evans, Partial Differential Equations丁同仁《常微分方程教程》高教《常微分方程习题集》菲利波夫,上海科技社G. B. Folland, Introduction to Partial Differential EquationsFritz John, Partial Differential Equations《常微分方程》李勇The Laplace Transform: Theory and Applications,Joel L. Schiff(适合自学)G. Simmons, Differntial Equations With Applications and Historecal Notes索托梅约尔《微分方程定义的曲线》《常微分方程》王高雄,中山大学社《微分方程与边界值问题》Zill○偏微分方程的有限差分方法(期权定价)福西斯,偏微分方程的有限差分方法Kwok,Mathematical Models of Financial Derivatives(有限差分方法美式期权定价)?Wilmott,Dewynne,Howison,The Mathematics of Financial Derivatives (有限差分方法美式期权定价)○统计模拟方法、蒙特卡洛方法Monte Carlo method in finance (美式期权定价)D. Dacunha-Castelle, M. Duflo,Probabilités et Statistiques IIFisherman,Monte Carlo Glasserman,Monte Carlo Mathods in Financial Engineering (金融蒙特卡洛方法的经典书,汇集了各类金融产品)Peter Jaeckel,Monte Carlo Methods in Finance(金融数学好,没Glasserman的好)?D. P. Heyman and M. J. Sobel, editors,Stochastic Models, volume 2 of Handbooks in O. R. and M. S., pages 331-434. Elsevier Science Publishers B.V. (North Holland) Jouini,Option Pricing,Interest Rates and Risk ManagementD. Lamberton, B. Lapeyre, Introduction to Stochastic Calculus Applied to Finance (连续时间)N. Newton,Variance reduction methods for diffusion process :H. Niederreiter,Random Number Generation and Quasi-Monte Carlo Methods. CBMS-NSF Regional Conference Series in Appl. Math. SIAMW.H. Press and al.,Numerical recepies.B.D. Ripley. Stochastic SimulationL.C.G. Rogers et D. Talay, editors,Numerical Methods in Finance. Publicationsof the Newton Institute.D.V. Stroock, S.R.S. Varadhan,Multidimensional diffusion processesD. Talay,Simulation and numerical analysis of stochastic differential systems, a review. In P. Krée and W. Wedig, editors,Probabilistic Methods in Applied Physics, volume 451 of Lecture Notes in Physics, chapter 3, pages 54-96.P.Wilmott and al.,Option Pricing (Mathematical models and computation). Benninga,Czaczkes,Financial Modeling ○数值方法、数值实现方法Numerical Linear Algebra and Its Applications,科学社K. E. Atkinson, An Introduction to Numerical AnalysisR. Burden, J. Faires, Numerical Methods《逼近论教程》CheneyP. Ciarlet, Introduction to Numerical Linear Algebra and Optimisation, Cambridge Texts in Applied MathematicsA. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge Texts in Applied Mathematics 《数值逼近》蒋尔雄《数值分析》李庆杨,清华《数值计算方法》林成森J. Stoer, R. Bulirsch, An Introduction to Numerical AnalysisJ. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations L. Trefethen, D. Bau, Numerical Linear Algebra《数值线性代数》徐树芳,北大其他(不必)《数学建模》Giordano《离散数学及其应用》Rosen《组合数学教程》Van Lint◎几何学和拓扑学(凸集、凹集)●拓扑学○点集拓扑学Munkres,Topology:A First Course《拓扑学》James R.MunkresSpivak,Calculus on Manifolds◎代数学(深于数学系高等代数)(静态均衡分析)○线性代数、矩阵论(资产组合的价值)M. Artin,AlgebraAxler, Linear Algebra Done RightCurtis,Linear Algeria:An Introductory ApproachW. Fleming, Functions of Several VariablesFriedberg, Linear Algebra Hoffman & Kunz, Linear AlgebraP.R. Halmos,Finite-Dimensional Vector Spaces(经典教材,数学专业的线性代数,注意它讲抽象代数结构而不是矩阵计算,难读)J. Hubbard, B. Hubbard, Vector Calculus, Linear Algebra, and Differential Forms: A Unified ApproachN. Jacobson,Basic Algebra Ⅰ&ⅡJain《线性代数》Lang,Undergraduate AlgeriaPeter D. Lax,Linear Algebra and Its Applications(适合数学系)G. Strang, Linear Algebra and its Applications(适合理工科,线性代数最清晰教材,应用讲得很多,他的网上讲座很重要)●经济最优化Dixit,Optimization in Economic Theory●一般均衡Debreu,Theory of Value●分离定理Hildenbrand,Kirman,Equilibrium Analysis(均衡问题一般处理)Magill,Quinzii,Theory of Incomplete Markets(非完备市场的均衡)Mas-Dollel,Whinston,Microeconomic Theory(均衡问题一般处理)Stokey,Lucas,Recursive Methods in Economic Dynamics (一般宏观均衡)经济学、金融学博士书目(B:概率论、数理统计、随机)◎概率统计●概率论(金融产品收益估计、不确定条件下的决策、期权定价)○基础概率理论(数学系概率论水平)《概率论》(三册)复旦Davidson,Stochastic Limit TheoryDurrett,The Essential of Probability,概率论第3版(英文版)W. Feller,An Introduction to Probability Theory and its Applications概率论及其应用(第3版)——图灵数学·统计学丛书《概率论基础》李贤平,高教G. R. Grimmett, D. R. Stirzaker, Probability and Random ProcessesRoss,S. A first couse in probability,中国统计影印版;概率论基础教程(第7版)——图灵数学·统计学丛书(例子多)《概率论》汪仁官,北大王寿仁,概率论基础和随机过程,科学社《概率论》杨振明,南开,科学社○基于测度论的概率论测度论与概率论基础,程式宏,北大D. L. Cohn, Measure TheoryDudley,Real Analysis and ProbabilityDurrett,Probability:Theory and ExamplesJacod,Protter,Probability Essentials Resnick,A Probability PathShirayev,Probability严加安,测度论讲义,科学社钟开莱,A Course in Probability Theory○随机过程微积分Introduction of diffusion processes (期权定价)K. L. Chung, Elementary Probability Theory with Stochastic ProcessesCox,Miller,The Theory of StochasticR. Durrett, Stochastic calculus黄志远,随机分析入门黄志远《随机分析学基础》科学社姜礼尚,期权定价的数学模型和方法,高教社《随机过程导论》KaoKarlin,Taylor,A First Course in Stochastic Prosses(适合硕士生)Karlin,Taylor,A Second Course in Stochastic Prosses(适合硕士生)随机过程,劳斯,中国统计J. R. Norris,Markov Chains(需要一定基础)Bernt Oksendal, Stochastic differential equations(绝佳随机微分方程入门书,专注于布朗运动,比Karatsas和Shreve的书简短好读,最好有概率论基础,看完该书能看懂金融学术文献,金融部分没有Shreve的好)Protter,Stochastic Integration and Differential Equations (文笔优美)D. Revuz, M. Yor, Continuous martingales and Brownian motion(连续鞅)Ross,Introduction to probability model(适合入门)Steel,Stochastic Calculus and Financial Application(与Oksendal的水平相当,侧重金融,叙述有趣味而削弱了学术性,随机微分、鞅)《随机过程通论》王梓坤,北师大○概率论、随机微积分应用(连续时间金融)Arnold,Stochastic Differential Equations《概率论及其在投资、保险、工程中的应用》BeanDamien Lamberton,Bernard Lapeyre. Introduction to stochastic calculus applied t o finance.David Freedman.Browian motion and diffusion.Dykin E. B. Markov Processes.Gihman I.I., Skorohod A. V.The theory of Stochastic processes 基赫曼,随机过程论,科学Lipster R. ,Shiryaev A.N. Statistics of random processes.Malliaris,Brock,Stochastic Methods in Economics and FinanceMerton,Continuous-time FinanceSalih N. Neftci,Introduction to the Mathematics of Financial DerivativesSteven E. Shreve ,Stochastic Calculus for Finance I: The Binomial Asset Pric ing Model;II: Continuous-Time Models(最佳的随机微积分金融(定价理论)入门书,易读的金融工程书,没有测度论基础最初几章会难些,离散时间模型,比Naftci的清晰,S hreve的网上教程也很优秀)Sheryayev A. N. Ottimal stopping rules.Wilmott p., J.Dewynne,S. Howison. Option Pricing: Mathematical Models and Compu tations.Stokey,Lucas,Recursive Methods in Economic Dynamics Wentzell A. D. A Course in the Theory of Stochastic Processes.Ziemba,Vickson,Stochastic Optimization Models in Finance○概率论、随机微积分应用(高级)Nielsen,Pricing and Hedging of Derivative SecuritiesRoss,《数理金融初步》An Introduction to Mathematical Finance:Options and othe r TopicsShimko,Finance in Continuous Time:A Primer○概率论、鞅论P. Billingsley,Probability and MeasureK. L. Chung & R. J. Williams,Introduction to Stochastic IntegrationDoob,Stochastic Processes严加安,随机分析选讲,科学○概率论、鞅论Stochastic processes and derivative products (高级)J. Cox et M. Rubinstein : Options MarketIoannis Karatzas and Steven E. Shreve,Brownian Motion and Stochastic Calculu s(难读的重要的高级随机过程教材,若没有相当数学功底,还是先读Oksendal的吧,结合Rogers & Williams的书读会好些,期权定价,鞅)M. Musiela - M. Rutkowski : (1998) Martingales Methods in Financial Modelling ?Rogers & Williams,Diffusions, Markov Processes, and Martingales: Volume 1, F oundations;Volume 2, Ito Calculus (深入浅出,要会实复分析、马尔可夫链、拉普拉斯转换,特别要读第1卷)David Williams,Probability with Martingales(易读,测度论的鞅论方法入门书,概率论高级教材)○鞅论、随机过程应用Duffie,Rahi,Financial Market Innovation and Security Design:An Introduction,Journal of Economic Theory Kallianpur,Karandikar,Introduction to Option Pricing TheoryDothan,Prices in Financial Markets (离散时间模型)Hunt,Kennedy,Financial Derivatives in Theory and Practice何声武,汪家冈,严加安,半鞅与随机分析,科学社Ingersoll,Theory of Financial Decision MakingElliott Kopp,Mathematics of Financial Markets(连续时间)Marek Musiela,Rutkowski,Martingale Methods in Financial Modeling(资产定价的鞅论方法最佳入门书,读完Hull书后的首选,先读Rogers & Williams、Karatzas and Sh reve以及Bjork打好基础)○弱收敛与随机过程收敛Billingsley,Convergence of Probability MeasureDavidson,Stochastic Limit TheoremEthier,Kurtz,Markov Process:Characterization and Convergence Hall,Marting ale Limit TheoremsJocod,Shereve,Limited Theorems for Stochastic Process Van der Vart,Weller,Weak Convergence and Empirical Process◎运筹学●最优化、博弈论、数学规划○随机控制、最优控制(资产组合构建)Borkar,Optimal control of diffusion processesBensoussan,Lions,Controle Impulsionnel et Inequations Variationnelles Chiang,Elements of Dynamic Optimization Dixit,Pindyck,Investment under UncertaintyFleming,Rishel,Deterministic and Stochastic Optimal ControlHarrison,Brownian Motion and Stochastic Flow SystemsKamien,Schwartz,Dynamic OptimizationKrylov,Controlled diffusion processes○控制论(最优化问题)●数理统计(资产组合决策、风险管理)○基础数理统计(非基于测度论)R. L. Berger, Cassell, Statistical InferenceBickel,Dokosum,Mathematical Stasistics:Basic Ideas andSelected TopicsBirrens,Introdution to the Mathematical and Statistical Foundation of Econom etrics数理统计学讲义,陈家鼎,高教Gallant,An Introduction to Econometric TheoryR. Larsen, M. Mars, An Introduction to Mathematical Statistics《概率论及数理统计》李贤平,复旦社Papoulis,Probability,random vaiables,and stochastic processStone,《概率统计》《概率论及数理统计》中山大学统计系,高教社○基于测度论的数理统计(计量理论研究)Berger,Statistical Decision Theory and Bayesian Analysis陈希儒,高等数理统计Shao Jun,Mathematical StatisticsLehmann,Casella,Theory of Piont EstimationLehmann,Romano,Testing Statistical Hypotheses《数理统计与数据分析》Rice○渐近统计Van der Vart,Asymptotic Statistics○现代统计理论、参数估计方法、非参数统计方法参数计量经济学、半参数计量经济学、自助法计量经济学、经验似然经济学、金融学博士书目(C:计量经济学、数理金融)统计学基础部分1、《统计学》《探索性数据分析》 David Freedman等,中国统计(统计思想讲得好)2、Mind on statistics 机械工业(只需高中数学水平)3、Mathematical Statistics and Data Analysis 机械工业(这本书理念很好,讲了很多新东西)4、Business Statistics a decision making approach 中国统计(实用)5、Understanding Statistics in the behavioral science 中国统计回归部分1、《应用线性回归》中国统计(蓝皮书系列,有一定的深度,非常精彩)2、Regression Analysis by example,(吸引人,推导少)3、《Logistics回归模型——方法与应用》王济川郭志刚高教(不多的国内经典统计教材)多元1、《应用多元分析》王学民上海财大(国内很好的多元统计教材)2、Analyzing Multivariate Data,Lattin等机械工业(直观,对数学要求不高)3、Applied Multivariate Statistical Analysis,Johnson & Wichem,中国统计(评价很高)《应用回归分析和其他多元方法》Kleinbaum《多元数据分析》Lattin时间序列1、《商务和经济预测中的时间序列模型》弗朗西斯著(侧重应用,经典)2、Forecasting and Time Series an applied approach,Bowerman & Connell(主讲Box-Jenkins(ARIMA)方法,附上了SAS和Minitab程序)3、《时间序列分析:预测与控制》 Box,Jenkins 中国统计《预测与时间序列》Bowerman抽样1、《抽样技术》科克伦著(该领域权威,经典的书。
计量经济学:历史回顾与未来展望程振源(华南师范大学经济与管理学院、华南市场经济研究中心广东广州510006)摘要:该文回顾了计量经济学的发展历程,指出了计量经济学研究未来可能的发展方向。
计量经济学;回顾;展望关键词:世界计量经济学学会于1930年12月29日成立,其会刊《计量经济学》杂志也于1933年正式创刊。
该学会的成立及其会刊的创刊是计量经济学发展史上的重要里程碑,标志着计量经济学这一学科的正式诞生,极大地推动了计量经济学的研究与发展。
计量经济学在经济学中的地位日渐突出,其取得的成就令人瞩目。
例如,从1969年诺贝尔经济学奖设立以来,因在计量经济学方面的杰出贡献而获奖的人数在经济学各分支学科中名列榜首。
1969年首届诺贝尔经济学奖获得者就是计量经济学家弗里希。
1.上世纪30~50年代计量经济学的研究1.1单方程模型上世纪30年代,以首届诺贝尔经济学奖得主弗里希为代表的计量经济学家致力于单方程计量经济学模型的研究。
但不久就将研究的重点转向了联立方程模型。
此后,单方程模型就一直未受到计量经济学家们的重视。
只是在上世纪70年代偶尔有少数几个学者涉足单方程模型这一领域,如Goldberger和Griliches(1977)等人。
1.2联立方程模型上世纪40至50年代,计量经济学家们主要致力于联立方程模型的研究,Haavelmo(1944)开创了该领域研究的先河。
不久,Andson和Rubin提出了联立方程模型的有限信息极大似然估计法(LIML)。
但该估计法过于繁琐,于是,Theil(1956)提出了两阶段最小平方法(2SLS)。
与有限信息极大似然估计法相比,两阶段最小平方法具有更稳定的性质。
并且该方法计算简便,因此很快得到推广。
但从严格意义上讲,两阶段最小平方法并不像有限信息极大似然估计法那样是一种联立方程估计法。
如果方程是过度识别的,那么对于两阶段最小平方法来说,采用何种方法对方程进行正态化是至关重要的(而有限信息极大似然估计法对标准化来说具有不变性),这与联立概念是相违背的。
=。
=+这些书单里的书俺都下了电子书...想催眠的想打发时间的想提高英语阅读能力的可以问我要...改天我自个整理个我下的经济学的电子书单...不想老是在后面再附上自己的推荐...******************************************************1. Futures, Options and other derivatives--by John Hull.这本书不用多说了,买就是了。
不管是找工作还是senior quant都会用到。
John Hull 也是非常厉害的,各个方面都有开创性的成果。
现在Toronto Uni.2. Arbitrage theory in continuous time--by Tomas Bjork这本书非常适合数学/物理背景的人读,注重数学理论的培养。
本来我觉得也没什么,但是被公司老板大加赞扬后就改变看法了。
Bjork现在瑞典SSE。
3. Financial Calculus--Martin Baxter& Rennie非常薄但是elegant的一本书,1996年,算是比较早了,但是和Hull的那本书齐名。
也是聪聪的first book。
作者1现在野村证券伦敦(nomura),作者2在美林伦敦(ml),都是fix ed income。
4.Financial calculus for finance II--ShreveShreve的新书,非常elegant,非常仔细,数学完备,适合数学背景,但是比较厚,对于入门来说还是3好。
作者现在CMU纽约。
教授。
顶尖人物。
5。
Martingale methods in Financial modelling--Musiela & Rutkovski作者现在BNP(巴黎银行)和华沙理工?都是顶尖人物。
数学背景1. Brownian motion and stochastic calculus--Shreve& Karasatz如果想在这一行发paper或者搞研究的话,或者读phd, 这是必须的。