On a method of estimating parameters in non-negative ARMA models

被引:0
|
作者
Zichova, J
机构
关键词
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The purpose of this paper is to introduce a method of estimating parameters in nonnegative ARMA processes. The method is a generalization of the procedures which were derived for autoregressive and moving-average processes. The estimates are constructed in the form of minima of certain fractions or some functions of these minima. A theorem concerning the strong consistence of these estimates is proved and its applications to the models ARMA(1,1), ARMA(2,1) and ARMA(p,1), p > 2 are demonstrated.
引用
收藏
页码:409 / 424
页数:16
相关论文
共 50 条
  • [1] A note on non-negative ARMA processes
    Tsai, Henghsiu
    Chan, K. S.
    [J]. JOURNAL OF TIME SERIES ANALYSIS, 2007, 28 (03) : 350 - 360
  • [2] A COMPARISON OF 2 LINEAR METHODS OF ESTIMATING THE PARAMETERS OF ARMA MODELS
    LI, SP
    ZHU, Y
    DICKINSON, BW
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) : 915 - 917
  • [3] NON-NEGATIVE TEMPORAL DECOMPOSITION OF SPEECH PARAMETERS
    Hiroya, Sadao
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2010, : 5066 - 5069
  • [4] NOTE ON NON-NEGATIVE ESTIMATORS OF POSITIVE PARAMETERS
    SUBRAHMANYA, MT
    [J]. METRIKA, 1970, 16 (2-3) : 107 - 114
  • [5] Non-parametric Models for Non-negative Functions
    Marteau-Ferey, Ulysse
    Bach, Francis
    Rudi, Alessandro
    [J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 33, NEURIPS 2020, 2020, 33
  • [6] Product autoregressive models for non-negative variables
    Abraham, B.
    Balakrishna, N.
    [J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (08) : 1530 - 1537
  • [7] Negative and Non-Negative
    Foshay, Arthur W.
    [J]. EDUCATIONAL RESEARCH BULLETIN, 1954, 33 (08): : 214 - 215
  • [8] Estimating ARMA models efficiently
    Chumacero, RA
    [J]. STUDIES IN NONLINEAR DYNAMICS AND ECONOMETRICS, 2001, 5 (02): : 103 - 114
  • [9] Variable selection in additive models by non-negative garrote
    Cantoni, Eva
    Flemming, Joanna Mills
    Ronchetti, Elvezio
    [J]. STATISTICAL MODELLING, 2011, 11 (03) : 237 - 252
  • [10] A NEURAL NETWORK ALTERNATIVE TO NON-NEGATIVE AUDIO MODELS
    Smaragdis, Paris
    Venkataramani, Shrikant
    [J]. 2017 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2017, : 86 - 90