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一类非线性周期时间序列模型 被引量:3

Nonlinear periodic time series model
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摘要 为了描述周期时间序列中的偏倚和多峰等非线性特征,结合有限混合模型方法,提出混合周期自回归滑动平均时间序列模型(MPARMA),给出了MPARMA模型的平稳性条件,讨论了期望最大化(EM)算法的应用,通过PM10浓度序列分析,评估了MPARMA模型的表现。 In combination with finite mixture modeling,mixture periodical autoregressive moving average (MPARMA) models were introduced to fit periodic time series with asymmetric and multimodal distributions,the stationary condition of such series was derived,and the application of Expectation Maximization (EM) algorithm was discussed.The new model was evaluated by analyzing the PM10 concentrations.
作者 王会战
出处 《计算机应用》 CSCD 北大核心 2010年第5期1394-1397,共4页 journal of Computer Applications
基金 陕西理工学院科研基金资助项目(SLG0919)
关键词 周期时间序列 周期自回归滑动平均 平稳性 EM算法 条件异方差 periodic correlated time series Periodical Autoregressive Moving-Average (PARMA) stationary Expectation Maximization (EM) algorithm heteroskedasticity
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参考文献13

  • 1ANDERSON P L,KAVALIERIS L,MEERSCHAERT M M.Innovations algorithm asymptetics for periodically stationary time series with heavy tails[J].Journal of Multivariate Analysis,2008,99(1):94-116. 被引量:1
  • 2TESFAYE Y G,MEERSCHAERT M M,ANDERSON P L.Identification of periodic autoregressive moving average models and their application to the modeling of river flows[J].Water Resources Research,2006,42(1):1-11. 被引量:1
  • 3王会战,田铮,王红军.混合周期自回归滑动平均时间序列的平稳性条件[J].陕西理工学院学报(自然科学版),2008,24(4):80-84. 被引量:3
  • 4王红军,田铮,王会战.均值异方差混合转移分布模型—EHMTD[J].工程数学学报,2008,25(6):1051-1058. 被引量:2
  • 5WANG HONGJUN,TIAN ZHENG.Heteroscodestic Mixture Transition Distribution (HMTD) model[J].Journal of Applied Mathematics and Computing,2008,28(1/2):207-224. 被引量:1
  • 6SHAO Q.Mixture periodic antexegressive time series models[J].Statistics & Probability Letters,2006,76(6):609-618. 被引量:1
  • 7MCLACHLAN G J,PEEL D.Finite mixture models[M].New York:Wiley,2000. 被引量:1
  • 8FRUHWIRTH-SCHNATTER S.Finite mixture and Markov switching models[M].Berlin:Springer-Verlag,2006. 被引量:1
  • 9DEMPSTER A P,LAIRD N M,RUBIN D B.Maximum likelihood from incomplete data via the EM algorithm[J].Journal of the Royal Statistical Society:Series B,1977,39(1):1-38. 被引量:1
  • 10LOUIS T A.Finding the observed information matrix when using the EM algorithm[J].Journal of the Royal Statistical Society:Series B,1982,44(2):226-233. 被引量:1

二级参考文献26

  • 1王红军,田铮,韩四儿.混合自回归滑动平均模型——MARMA[J].系统工程理论与实践,2006,26(11):108-115. 被引量:9
  • 2王红军,田铮,杨政.异方差混合双自回归模型—HMDAR[J].系统仿真学报,2007,19(3):497-501. 被引量:5
  • 3Tong H. Non-linear Time Series[M]. New York: Oxford University Press, 1990 被引量:1
  • 4Engle R F. Autoregerssive conditional heteroscedastic models with estimates of the variance of United Kingdom inflation[J]. Econometrica, 1982, 50:987-1007 被引量:1
  • 5LE N D, Martin R, Raftery A E. Modeling flat stretches, bursts, and outliers in time series using mixture transition distribution models[J]. Journal of the American Statistical Associatio, 1996, 91:1504-1515 被引量:1
  • 6Wong C S, Li W K. On a mixture autoregressive model[J]. Journal of Royal Statistical Society B, 2000, 62: 95-115 被引量:1
  • 7Wong C S, Li W K. On a mixture autoregressive conditional heteroscedastic model[J]. Journal of the American Statistical Associatio, 2001, 96:982-995 被引量:1
  • 8Wong C S, Li W K. On a logistic mixture autoregressive model[J]. Biometrika, 2001, 88:833-846 被引量:1
  • 9Shao Q. Mixture periodic autoregressive time series models[J]. Statistics and Probability Letters, 2006, 76: 609-618 被引量:1
  • 10Berchtold A. Mixture transition distribution (MTD) modeling of heteroscedastic time series[J]. Computational Statistics and Data Analysis, 2003, 41:399-411 被引量:1

共引文献5

同被引文献19

  • 1黄海辉.一种周期时间序列的预测算法[J].计算机工程与应用,2006,42(5):71-73. 被引量:9
  • 2Zellner A. Bayesian and Non-Bayesian Analysis of the Regression Model with Multivariate Student-T Error Terms[ J]. Journal of the American Statistical Association, 1976,71 (354) :400-405. 被引量:1
  • 3Geweke J. Bayesian Treatment of the Independent Student-T Linear Model[ J ]. Journal of Applied Econometrics, 1993,8 (S1) :S19-S40. 被引量:1
  • 4Breusch T S, Robertson J C,Welsh A H. The Emperor's New Clothes: A Critique of the Multivariate T Regression Model [ J ]. Statistica Neerlandica, 1997,51 (3) :269-286. 被引量:1
  • 5Azzalini A, Capitanio A. Distributions Generated by Perturbation of Symmetry with Emphasis on a Multivariate Skew T-Distribution [ J ]. Journal of the Royal Statistical Society : Series B ( Statistical Methodology) ,2003,65 (2) : 367 -389. 被引量:1
  • 6Meng X L, Rubin D B. Maximum Likelihood Estimation Via the ECM Algorithm: A General Framework [ J ]. Biometrika, 1993,80(2) :267-278. 被引量:1
  • 7Liu C ,Rubin D B. The ECME Algorithm: A Simple Extension of Em and Ecm with Faster Monotone Convergence[J]. Biometrika,1994,81 (4) :633-648. 被引量:1
  • 8Liu C H, Rubin, D B, Wu Y N. Parameter Expansion to Accelerate EM : The PX-EM Algorithm [ J ]. Biometfika, 1998,85 (4) :755-770. 被引量:1
  • 9Oakes D. Direct Calculation of the Information Matrix Via the EM Algorithm [ J ]. Journal of the Royal Statistical Society. Series B ( Statistical Methodology), 1999,61 ( 2 ) : 479 -482. 被引量:1
  • 10MeLachlan,G J ,Krishnan T. The Em Algorithm and Extensions[M]. 2nd ed. New York: Wiley, 2008. 被引量:1

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