메뉴 건너뛰기




Volumn 6, Issue 1, 2009, Pages 61-69

Local asymptotic normality for bifurcating autoregressive processes and related asymptotic inference

Author keywords

Bifurcating model; LAN; Martingale array; Maximum likelihood; Score test

Indexed keywords


EID: 56949091705     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2008.03.002     Document Type: Article
Times cited : (8)

References (14)
  • 1
    • 27644502604 scopus 로고    scopus 로고
    • Non-Gaussian bifurcating models and quasi-likelihood estimation
    • Basawa I.V., and Zhou J. Non-Gaussian bifurcating models and quasi-likelihood estimation. Journal of Applied Probability Spec. 41A (2004) 55-64
    • (2004) Journal of Applied Probability , vol.Spec. 41A , pp. 55-64
    • Basawa, I.V.1    Zhou, J.2
  • 3
    • 0022992565 scopus 로고
    • The bifurcating autoregression model in cell lineage studies
    • Cowan R., and Staudte R.G. The bifurcating autoregression model in cell lineage studies. Biometrics 42 (1986) 769-783
    • (1986) Biometrics , vol.42 , pp. 769-783
    • Cowan, R.1    Staudte, R.G.2
  • 5
    • 0001827429 scopus 로고
    • On large sample estimation and testing in parametric models
    • Hall W.J., and Mathiason D.J. On large sample estimation and testing in parametric models. International Statistics Review 58 (1990) 77-97
    • (1990) International Statistics Review , vol.58 , pp. 77-97
    • Hall, W.J.1    Mathiason, D.J.2
  • 6
    • 0347045331 scopus 로고
    • A law of large numbers for the bifurcating autoregressive process
    • Huggins R.M. A law of large numbers for the bifurcating autoregressive process. Communications in Statistics Stochastic Models 11 (1995) 273-278
    • (1995) Communications in Statistics Stochastic Models , vol.11 , pp. 273-278
    • Huggins, R.M.1
  • 7
    • 0033233848 scopus 로고    scopus 로고
    • Extensions of the bifurcating autoregressive model for cell lineage data
    • Huggins R.M., and Basawa I.V. Extensions of the bifurcating autoregressive model for cell lineage data. Journal of Applied Probability 36 (1999) 1225-1233
    • (1999) Journal of Applied Probability , vol.36 , pp. 1225-1233
    • Huggins, R.M.1    Basawa, I.V.2
  • 8
    • 0034367513 scopus 로고    scopus 로고
    • Inference for extended bifurcating autoregressive model for cell lineage studies
    • Huggins R.M., and Basawa I.V. Inference for extended bifurcating autoregressive model for cell lineage studies. Australian & New Zealand Journal of Statistics 42 (2000) 423-432
    • (2000) Australian & New Zealand Journal of Statistics , vol.42 , pp. 423-432
    • Huggins, R.M.1    Basawa, I.V.2
  • 10
    • 0002346236 scopus 로고
    • Asymptotic optimal inference for a class of nonlinear time series models
    • Hwang S.Y., and Basawa I.V. Asymptotic optimal inference for a class of nonlinear time series models. Stochastic Process and their Applications 46 (1993) 91-113
    • (1993) Stochastic Process and their Applications , vol.46 , pp. 91-113
    • Hwang, S.Y.1    Basawa, I.V.2
  • 13
    • 27644514336 scopus 로고    scopus 로고
    • Maximum likelihood estimation for first order bifurcating autoregressive processes with exponential errors
    • Zhou J., and Basawa I.V. Maximum likelihood estimation for first order bifurcating autoregressive processes with exponential errors. Journal of Time Series Analysis 26 (2005) 825-842
    • (2005) Journal of Time Series Analysis , vol.26 , pp. 825-842
    • Zhou, J.1    Basawa, I.V.2
  • 14
    • 22144460129 scopus 로고    scopus 로고
    • Least-squares estimation for bifurcating autoregressive processes
    • Zhou J., and Basawa I.V. Least-squares estimation for bifurcating autoregressive processes. Statistics & Probability Letters 74 (2005) 77-88
    • (2005) Statistics & Probability Letters , vol.74 , pp. 77-88
    • Zhou, J.1    Basawa, I.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.