Some asymptotic properties in INAR(1) processes with Poisson marginals

被引:0
|
作者
YouSung Park
Chan Wook Oh
机构
[1] Korea University,Department of Statistics
来源
Statistical Papers | 1997年 / 38卷
关键词
Marginal Distribution; Queue Length; Asymptotic Distribution; ARMA Model; Dependent Sequence;
D O I
暂无
中图分类号
学科分类号
摘要
The first-order integer-valued autoregressive (INAR(1)) process with Poisson marginal distributions is considered. It is shown that the sample autocovariance function of the model is asymptotically normally distributed. We derive asymptotic distribution of Yule-Walker type estimators of parameters. It turns out that our Yule-Walker type estimators are better than the conditional least squares estimators proposed by Klimko and Nelson (1978) and Al-Osh and Alzaid (1987). also, we study the relationship between the model andM/M/∞ queueing system.
引用
收藏
页码:287 / 302
页数:15
相关论文
共 50 条
  • [1] Some asymptotic properties in INAR(1) processes with Poisson marginals
    Park, YS
    Oh, CW
    [J]. STATISTICAL PAPERS, 1997, 38 (03) : 287 - 302
  • [2] Mixed Poisson INAR(1) processes
    Wagner Barreto-Souza
    [J]. Statistical Papers, 2019, 60 : 2119 - 2139
  • [3] Mixed Poisson INAR(1) processes
    Barreto-Souza, Wagner
    [J]. STATISTICAL PAPERS, 2019, 60 (06) : 2119 - 2139
  • [4] Some properties of multivariate INAR(1) processes
    Pedeli, Xanthi
    Karlis, Dimitris
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 67 : 213 - 225
  • [5] Compound Poisson INAR(1) processes: Stochastic properties and testing for overdispersion
    Schweer, Sebastian
    Weiss, Christian H.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2014, 77 : 267 - 284
  • [6] Testing for Poisson arrivals in INAR(1) processes
    Schweer, Sebastian
    Weiss, Christian H.
    [J]. TEST, 2016, 25 (03) : 503 - 524
  • [7] Poisson-Lindley INAR(1) Processes: Some Estimation and Forecasting Methods
    Nasirzadeh, Roya
    Zamani, Atefeh
    [J]. JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2020, 19 (02): : 145 - 173
  • [8] Testing for Poisson arrivals in INAR(1) processes
    Sebastian Schweer
    Christian H. Weiß
    [J]. TEST, 2016, 25 : 503 - 524
  • [9] The Marginal Distribution of Compound Poisson INAR(1) Processes
    Weiss, Christian H.
    Puig, Pedro
    [J]. STOCHASTIC MODELS, STATISTICS AND THEIR APPLICATIONS, 2015, 122 : 351 - 359
  • [10] Extended Poisson INAR(1) processes with equidispersion, underdispersion and overdispersion
    Bourguignon, Marcelo
    Rodrigues, Josemar
    Santos-Neto, Manoel
    [J]. JOURNAL OF APPLIED STATISTICS, 2019, 46 (01) : 101 - 118