메뉴 건너뛰기




Volumn 14, Issue , 2009, Pages 2492-2526

Asymptotic analysis for bifurcating autoregressive processes via a martingale approach

Author keywords

Almost sure convergence; Bifurcating autoregressive process; Central limit theorem; Least squares estimation; Martingales; Quadratic strong law; Tree indexed times series

Indexed keywords


EID: 77956106894     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v14-717     Document Type: Article
Times cited : (27)

References (15)
  • 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. J. Appl. Probab. 41A (2004), 55-64.
    • (2004) J. Appl. Probab , vol.41A , pp. 55-64
    • Basawa, I.V.1    Zhou, J.2
  • 2
    • 0022992565 scopus 로고
    • The bifurcating autoregressive model in cell lineage studies
    • COWAN, R., AND STAUDTE, R. G. The bifurcating autoregressive 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
    • 52949116781 scopus 로고    scopus 로고
    • Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
    • GUYON, J. Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging. Ann. Appl. Probab. 17, 5-6 (2007), 1538-1569.
    • (2007) Ann. Appl. Probab , vol.17 , Issue.5-6 , pp. 1538-1569
    • Guyon, J.1
  • 8
    • 0003410290 scopus 로고
    • Princeton University Press, Princeton, NJ
    • HAMILTON, J. D. Time series analysis. Princeton University Press, Princeton, NJ, 1994.
    • (1994) Time Series Analysis
    • Hamilton, J.D.1
  • 9
    • 0030509269 scopus 로고    scopus 로고
    • Robust inference for variance components models for single trees of cell lineage data
    • HUGGINS, R. M. Robust inference for variance components models for single trees of cell lineage data. Ann. Statist. 24, 3 (1996), 1145-1160.
    • (1996) Ann. Statist , vol.24 , Issue.3 , pp. 1145-1160
    • Huggins, R.M.1
  • 10
    • 0033233848 scopus 로고    scopus 로고
    • Extensions of the bifurcating autoregressive model for cell lineage studies
    • HUGGINS, R. M., AND BASAWA, I. V Extensions of the bifurcating autoregressive model for cell lineage studies. J. Appl. Probab. 36, 4 (1999), 1225-1233.
    • (1999) J. Appl. Probab , vol.36 , Issue.4 , pp. 1225-1233
    • Huggins, R.M.1    Basawa, I.V.2
  • 11
    • 0034367513 scopus 로고    scopus 로고
    • Inference for the extended bifurcating autoregressive model for cell lineage studies
    • HUGGINS, R. M., AND BASAWA, I. V. Inference for the extended bifurcating autoregressive model for cell lineage studies. Aust. N. Z. J. Stat. 42, 4 (2000), 423-432.
    • (2000) Aust. N. Z. J. Stat , vol.42 , Issue.4 , pp. 423-432
    • Huggins, R.M.1    Basawa, I.V.2
  • 12
    • 56949091705 scopus 로고    scopus 로고
    • Local asymptotic normality for bifurcating autoregressive processes and related asymptotic inference
    • HWANG, S. Y., BASAWA, I. V, AND YEO, I. K. Local asymptotic normality for bifurcating autoregressive processes and related asymptotic inference. Statistical Methodology 6 (2009), 61-69.
    • (2009) Statistical Methodology , vol.6 , pp. 61-69
    • Hwang, S.Y.1    Basawa, I.V.2    Yeo, I.K.3
  • 13
    • 0001732503 scopus 로고
    • Adaptive prediction by least squares predictors in stochastic regression models with applications to time series
    • WEI, C. Z. Adaptive prediction by least squares predictors in stochastic regression models with applications to time series. Ann. Statist. 15, 4 (1987), 1667-1682.
    • (1987) Ann. Statist , vol.15 , Issue.4 , pp. 1667-1682
    • Wei, C.Z.1
  • 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. Statist. Probab. Lett. 74, 1 (2005), 77-88.
    • (2005) Statist. Probab. Lett , vol.74 , Issue.1 , pp. 77-88
    • Zhou, J.1    Basawa, I.V.2
  • 15
    • 27644514336 scopus 로고    scopus 로고
    • Maximum likelihood estimation for a first-order bifurcating autoregressive process with exponential errors
    • ZHOU, J., AND BASAWA, I. V. Maximum likelihood estimation for a first-order bifurcating autoregressive process with exponential errors. J. Time Ser Anal. 26, 6 (2005), 825-842.
    • (2005) J. Time Ser Anal , vol.26 , Issue.6 , pp. 825-842
    • Zhou, J.1    Basawa, I.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.