Estimation and prediction for a class of dynamic nonlinear statistical models

被引:141
|
作者
Ord, JK [1 ]
Koehler, AB
Snyder, RD
机构
[1] Penn State Univ, Dept Management Sci & Informat Syst, University Pk, PA 16802 USA
[2] Penn State Univ, Dept Stat, University Pk, PA 16802 USA
[3] Miami Univ, Dept Decis Sci & Management Informat Syst, Oxford, OH 45056 USA
[4] Monash Univ, Dept Econometr, Clayton, Vic 3168, Australia
关键词
forecasting; Holt-Winters method; maximum likelihood estimation; state-space models;
D O I
10.2307/2965433
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A class of nonlinear state-space models, characterized by a single source of randomness, is introduced. A special case, the model underpinning the multiplicative Holt-Winters method of forecasting, is identified. Maximum likelihood estimation based on exponential smoothing instead of a Kalman filter, and with the potential to be applied in contexts involving non-Gaussian disturbances, is considered. A method for computing prediction intervals is proposed and evaluated on both simulated and real data.
引用
收藏
页码:1621 / 1629
页数:9
相关论文
共 50 条
  • [1] Estimation and prediction for a class of dynamic nonlinear statistical models
    Chatfield, C
    INTERNATIONAL JOURNAL OF FORECASTING, 1999, 15 (02) : 225 - 226
  • [2] Statistical estimation of dynamic Tobit models
    Jon, Yow-Jen
    Chang, Wan-Ru
    Lan, Chien-Lun
    RECENT PROGRESS IN COMPUTATIONAL SCIENCES AND ENGINEERING, VOLS 7A AND 7B, 2006, 7A-B : 830 - +
  • [3] LEAST SQUARES ESTIMATION FOR A CLASS OF NONLINEAR MODELS
    GUTTMAN, I
    PEREYRA, V
    ACTA CIENTIFICA VENEZOLANA, 1971, 22 : 25 - &
  • [4] Estimation and validation of semiparametric dynamic nonlinear models
    Rolain, Yves
    Van Moer, Wendy
    Schoukens, Johan
    Dhaene, Tom
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2008, 57 (02) : 395 - 400
  • [5] Estimation and test of linearity for a class of additive nonlinear models
    Cheze-Payaud, N
    Poggi, JM
    Portier, B
    STATISTICS & PROBABILITY LETTERS, 1998, 40 (02) : 189 - 201
  • [6] LEAST-SQUARES ESTIMATION FOR A CLASS OF NONLINEAR MODELS
    GUTTMAN, I
    PEREYRA, V
    SCOLNIK, HD
    TECHNOMETRICS, 1973, 15 (02) : 209 - 218
  • [7] Estimation in a class of nonlinear heteroscedastic time series models
    Ngatchou-Wandji, Joseph
    ELECTRONIC JOURNAL OF STATISTICS, 2008, 2 : 40 - 62
  • [8] Estimation for a class of positive nonlinear time series models
    Brown, TC
    Feigin, PD
    Pallant, DL
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1996, 63 (02) : 139 - 152
  • [9] Parameter estimation techniques for a class of nonlinear hysteresis models
    Smith, RC
    Hatch, AG
    INVERSE PROBLEMS, 2005, 21 (04) : 1363 - 1377
  • [10] DYNAMIC STATISTICAL MODELS FOR BANKRUPTCY PREDICTION OF ITALIAN FIRMS
    Amendola, Alessandra
    Restaino, Marialuisa
    Sensini, Luca
    4TH ANNUAL EUROMED CONFERENCE OF THE EUROMED ACADEMY OF BUSINESS: BUSINESS RESEARCH CHALLENGES IN A TURBULENT ERA, 2011, : 97 - 109