Development of Research on Change-point Detection

Abstract

Abstract: Research of change－point detection is a new researching field involving statistics, mathematics, computer science, data mining and other subjects. The dissertation reviews, in detail, domestic and foreign research situations of change－point detection during 2000 and 2011, and some reasonable classifications of change－point detection are given from different aspects and the research trend of change－point detection has been fully predicted.

Key words: change－point detection, problem classification, research trend of change－point detection

CLC Number:

O212.7

ZHANG Xue-xin. Development of Research on Change-point Detection[J]. Journal of Jianghan University(Natural Science Edition), 2012, 40(2): 18-24.

References

[1]Vexler A.Guaranteed testing for epidemic changes of a linear regression model[J].J Statist Plann Inference,2006,136 3101－3120.
［2]Gurevich G.Nonparametric AMOC changepoint tests for stochastically ordered alternatives[J].Communications in Statistics－Theory and Methods,2006,35 887－903.
［3]Vexler A,Gurevich G.Entropy－based empirical likelihood ratio change point detection policies[C]//American Statistical Associaton.JSM Proceedings Section on Nonparametric Statistics.Alexandria VAAmerican Statistical Associaton, 2009, 3986－3998.
［4]Theodore B, Hoontrakul P.Estimation of mean and variance episodes in the price return of the stock exchange of thailand[J].Financial Risk and Financial Management,2002,16535－554.
［5]Guan Z.A semiparametric changepoint model[J].Biometrika,2004,91 849－862.
［6]Guan Z.Semiparametric tests for change－points with epidemic alternatives[J].Journal of Statistical Planning and Inference,2007,1371748－1764.
［7]Einmahl J H J,McKeague I W.Empirical likelihood based hypothesis testing[J].Bernoulli,2003(9)267－290.
［8]Gombay E.U－statistics for change under alternatives[J].J Multivariate Anal,2001,78139－158.
［9]Zou C,Liu Y,Qin P,et al.Empirical likelihood ratio test for the changepoint problem[J].Statistics ＆ Probability Letters,2007,77374-382.
［10]Dunson D B,Taylor J A.Approximate Bayesian inference for quantiles[J].Journal of Nonparametric Statistics,2005,17(3)385－400.
［11]Ventura L,Cabras S,Racugno W.Prior distributions from pseudo－likelihoods in the presence of nuisance parameters[J].J Amer Stat Assoc,2009,104768－774.
［12]Lazar N A.Bayesian empirical likelihood[J].Biometrika, 2003,90 319－326.
［13]Hoff P D.Extending the rank likelihood for semiparametric copula estimation[J].Annals of Applied Statistics,2007,1(1)265－283.
［14]葛春蕾,史晓平.正态分布参数变点估计的强相合性[J].合肥工业大学学报自然科学版,2008,31(2) 280－283.
［15]沈燕,胡舒合.正态分布均值变点估计的收敛速度研究[J].合肥工业大学学报自然科学版,2008,31(12)2062－2065.
［16]谭常春,赵林成,缪柏其.至多一个变点的Γ分布的统计推断及在金融中的应用[J].系统科学与数学,2007,27(1)2－10.
［17]王黎明,王静龙.位置参数变点的非参数检验及其渐近性质[J].数学年刊A辑,2002,23(2)229－234.
［18]王黎明.双参数指数分布参数变点的统计推断[J].系统工程,2004,22(3)106－110.
［19]王丽敏,迟晓恒.结构模型参数变点的非参数检验[J].大连铁道学院学报,2002,23(4)7－9.
［20]王黎明.测量误差模型只有一个变点的检验和估计[J].应用概率统计,2002,18(4)385－392.
［21]Zhao W,Tian Z,Xia Z.Ratio test for variance change point in linear process with long memory[J].Statistical Papers,2010,51(2)397－407.
［22]Wang L,Wang J.Change of variance problem for linear processes with long memory[J].Stat Papers,2006,47 279-298.
［23]赵文芝,田铮,夏志明.线性过程方差变点的估计[J].工程数学学报,2009,26(2) 273－277.
［24]韩四儿.ARCH模型和GARCH模型的变点检测[D].西安西北工业大学,2004 .
［25]Bai J, Perron P.Computation and analysis of multiple structural change models[J].Journal of Applied Econometrics, John Wiley ＆ Sons,Ltd,2003,18(1)1－22.
［26]Orbe S,Ferreira E,Rodriguez-Poo J.On the estimation and testing of time varying constraints in economic models[J].Statistical Sinica,2006,161313－1333.
［27]陈惠,汤银才.已知变点数下二次回归模型方差变点分析[J].数理统计与管理, 2005,24 147－150.
［28]Wang Z,Wu Y, Zhao L.Change－point estimation for censored regression model[J].Science in China Series A Mathematics,2007,5063－72.
［29]Freeman J.Inference for binomial change－point data[M]//Skiadas C H.Advances in Data Analysis[C].Boston Birkhauser,2009349－356.
［30]史晓平,缪柏其,葛春蕾.对称的稳定分布参数变点估计的相合性[J].中国科学,A辑数学,2008,38(2)207－215.
［31]钟颖,田茂再.稀有事件变点问题的Bayes分析[J].统计与决策,2008(3) 38－39.
［32]Jean F D.A survival model with change－point in both hazard and regression model[M]//Nikulin M.Probability,Statistics and Modelling in Public Health.LondonSpringer,2006136－144.
［33]Jensen U,Lutkebohmert C.A cox－type regression analysis[J].2008,14(3) 267－285.
［34]Khutortsev V V.On asymptotic description of a probabilistic change－point model for a two－state discrete markov process[J].Problems of Information Transmission,2009,45(3) 232－241.
［35]Bischoff W,Hashorva E.A lower bound for boundary crossing probabilities of brownian bridge／motion with trend[J].Stat Probab Lett,2005,74(3)265－271.
［36]Hu?觢kov?仳,S Meintanis S G.Change point analysis based on empirical characteristic functions[J].Metrika,2006,63145－168.
［37]蔡择林.至多一个分布变点的非参数统计推断[J].数学杂志,2007,27 (4) 461－466.
［38]谭常春,缪柏其,惠军.分布参数变点的非参数统计推断[J].中国科学技术大学学报,2008,38(2) 149－156.
［39]Brodsky B,Darkhovsky B.Sequential change－point detection for mixing random sequences under composite hypotheses[J].Stat Infer Stoch Proces,2008,1135－54.
［40]濮晓龙.关于累积和(CUSUM)检验的改进 [J].应用数学学报,2003, 26(2) 225－241.
［41]Rosenbaum P R.An exact distribution－free test comparing two multivariate distributions based on adjacency[J].Journal of the Royal Statistical Society B,2005,67(4)515-530.
［42]张学新.多变点检测方法研究—基于两阶段相似测度与模型分析[D].武汉中南财经政法大学,2011.
［43]Kühn C.An estimator of the number of change points based on a weak invariance principle[J].Statistics and Probability Letters,2001,51(2) 189－196.
［44]Lavielle M.Using penalized contrasts for the change－point problem[J].Signal Processing,2005,85(8) 1501－1510.
［45]Lavielle M,Teyssière G.Adaptive detection of multiple change－points in asset price volatility[M]//Teyssière G,Kirman A.Long－Memory in Economics.BerlinSpringer Verlag,2006129－156.
［46]Perron P, Qu Z G.Estimating restricted structural change models[J].Journal of Econometrics,2006, 134(2) 373－399.
［47]Cizek P, Hardle W, Spokoiny V.Adaptive pointwise estimation in time－inhomogeneous conditional heteroscedasticity models[J].Econom J,2009,12 248－271.
［48]王孝礼,胡宝清,夏军,等.水文时序趋势与变异点的R／S分析法[J].武汉大学学报工学版,2002,35 (2) 10－12.
［49]熊立华,周芬,肖义,等.水文时间序列变点分析的Byesian方法[J].水电能源科学,2003,21(4) 39－41.
［50]谢平,陈广才,李德,等.水文变异综合诊断方法及其应用研究[J].水电能源科学,2005,23(2) 11－14.
［51]叶五一,缪柏其,谭常春.基于分位点回归模型变点检测的金融传染分析 [J].数量经济技术经济研究,2007,10151－160.
［52]宋加山,李勇,孙浩瑛,等.变点理论在极值分布阈值选取中的应用[J].系统工程,2007,25(11)97－101.
［53]叶五一,缪柏其.基于Copula分布变点检测的美国次级债金融危机传染分析[J].中国管理科学,2009,17(3) 1－7.
［54]张学新,段志霞.最小二乘法对多变点检验的性能研究[J].河南师范大学学报自然科学版,2009,37(6) 6－10.
［55]Tseng Y,Durbin P,Tzeng G.Using a fuzzy piecewise regression analysis to predict the nonlinear time－series of turbulent flows with automatic change－point detection[J].Flow,Turbulence and Combustion,2001,67(2) 81－106.
［56]Leonte D, Nott D J , Dunsmuir J, et al.Smoothing and change point detection for gamma ray count data[J].Mathematical Geology,2003,35(2) 175－194.
［57]Gu X Q,Jiang J,Franklin S, et al.Abrupt changes in an 8000－year precipitation reconstruction for Nevada, the western USA[J].Journal of Geographical Sciences,2005,15(3)259－272.
［58]Patra K,Dey D.A general class of change point and change curve modeling for life time data[J].Annals of the Institute of Statistical Mathematics,2002,54(3) 517－530.
［59]Moltchanov D.State description of wireless channels using change－point statistical tests[J].Lecture Notes in Computer Science,2006,3970275－286.
［60]Ruggeri F,Sivaganesan S.On modeling change points in non－homogeneous poisson processes[J].Statistical Inference for Stochastic Processes,2005,8(3)311－329.
［61]Gaffeo E,Gallegati M,Gallegati M.Requiem for the unit root in per capita real GDP？Additional evidence from historical data[J].Empirical Economics,2005, 30 37－63.
［62]Antoch J,Legát D.Application of MCMC to change point detection[J].Applications of Mathematics,2008, 53(4) 281－296.
［63]Kappler M.Do hours worked contain a unit root？evidence from panel data[J].Empir Econ,2009,36 531-555.