Properties Of The GAR(1) Model For Time Series Of Counts

被引:0
|
作者
Karioti, Vasiliki [1 ]
Caroni, Chrys [1 ]
机构
[1] Natl Tech Univ Athens, Dept Math, Athens, Greece
关键词
time series; count data; GARMA; GAR(1); residuals;
D O I
暂无
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
Models for time series count data include several proposed by Zeger and Qaqish (1988), subsequently generalized into the GARMA family. The GAR(1) model is examined in detail. The maximum likelihood estimation of the parameters will be discussed and the properties of Pearson and randomized residuals will be examined.
引用
收藏
页码:140 / 151
页数:12
相关论文
共 50 条
  • [41] Investigation of femicide in Turkey: modeling time series of counts
    Anavatan A.
    Kayacan E.Y.
    [J]. Quality & Quantity, 2024, 58 (3) : 2013 - 2028
  • [42] Modelling time series of counts with deflation or inflation of zeros
    Bourguignon, Marcelo
    [J]. STATISTICS AND ITS INTERFACE, 2018, 11 (04) : 631 - 639
  • [43] Modeling and inferences for bounded multivariate time series of counts
    Lee, Sangyeol
    Jo, Minyoung
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2024,
  • [44] Limit theorems for regression models of time series of counts
    Blais, M
    MacGibbon, B
    Roy, R
    [J]. STATISTICS & PROBABILITY LETTERS, 2000, 46 (02) : 161 - 168
  • [45] Time Series of Counts under Censoring: A Bayesian Approach
    Silva, Isabel
    Silva, Maria Eduarda
    Pereira, Isabel
    McCabe, Brendan
    [J]. ENTROPY, 2023, 25 (04)
  • [46] MPEG video modeling based on GAR(1) model
    Xu, SG
    Hughes, HD
    [J]. PROCEEDINGS OF 1999 SYMPOSIUM ON PERFORMANCE EVALUATION OF COMPUTER AND TELECOMMUNICATION SYSTEMS, 1999, : 337 - 340
  • [47] A note on the stability of multivariate non-linear time series with an application to time series of counts
    Debaly, Zinsou Max
    Truquet, Lionel
    [J]. STATISTICS & PROBABILITY LETTERS, 2021, 179
  • [48] Expert System to Model and Forecast Time Series of Epidemiological Counts with Applications to COVID-19
    Gonzalez-Perez, Beatriz
    Nunez, Concepcion
    Sanchez, Jose L.
    Valverde, Gabriel
    Velasco, Jose Manuel
    [J]. MATHEMATICS, 2021, 9 (13)
  • [49] Thinning operations for modeling time series of counts—a survey
    Christian H. Weiß
    [J]. AStA Advances in Statistical Analysis, 2008, 92
  • [50] Autoregressive conditional negative binomial model applied to over-dispersed time series of counts
    Chen, Cathy W. S.
    So, Mike K. P.
    Li, Jessica C.
    Sriboonchitta, Songsak
    [J]. STATISTICAL METHODOLOGY, 2016, 31 : 73 - 90