메뉴 건너뛰기




Volumn 51, Issue 12, 2007, Pages 6151-6165

The use of cumulative sums for detection of changepoints in the rate parameter of a Poisson Process

Author keywords

Binary segmentation procedure; Changepoints; Cumulative sum statistic; Kolmogorov statistics; Poisson processes

Indexed keywords

ALGORITHMS; ASYMPTOTIC ANALYSIS; MONTE CARLO METHODS; PARAMETER ESTIMATION;

EID: 34547159346     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.12.042     Document Type: Article
Times cited : (13)

References (27)
  • 1
    • 0000193568 scopus 로고
    • Asymptotic inference for a change-point Poisson process
    • Akman V.E., and Raftery A.E. Asymptotic inference for a change-point Poisson process. Ann. Statist. 14 (1986) 1583-1590
    • (1986) Ann. Statist. , vol.14 , pp. 1583-1590
    • Akman, V.E.1    Raftery, A.E.2
  • 2
    • 84981423142 scopus 로고
    • Least squares estimation of a shift in linear processes
    • Bai J. Least squares estimation of a shift in linear processes. J. Time Ser. Anal. 15 (1994) 453-472
    • (1994) J. Time Ser. Anal. , vol.15 , pp. 453-472
    • Bai, J.1
  • 5
    • 34547215571 scopus 로고    scopus 로고
    • Carnero, M.A., Peña, D., Ruiz, E., 2003. Detecting level shifts in the presence of conditional heteroskedasticity. Working Paper, 03-63, Universidad Carlos III de Madrid.
  • 6
    • 0003122168 scopus 로고    scopus 로고
    • Estimation and comparison of multiple change-point models
    • Chib S. Estimation and comparison of multiple change-point models. J. Econometrics 86 (1998) 221-241
    • (1998) J. Econometrics , vol.86 , pp. 221-241
    • Chib, S.1
  • 8
    • 33745652986 scopus 로고    scopus 로고
    • Outlier detection in multivariate time series by Projection Pursuit
    • Galeano P., Peña D., and Tsay R.S. Outlier detection in multivariate time series by Projection Pursuit. J. Amer. Statist. Assoc. 101 (2006) 654-669
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 654-669
    • Galeano, P.1    Peña, D.2    Tsay, R.S.3
  • 9
    • 0003678327 scopus 로고
    • Design of optimal exponential CUSUM control charts
    • Gan F.F. Design of optimal exponential CUSUM control charts. J. Qual. Tech. 26 (1994) 109-124
    • (1994) J. Qual. Tech. , vol.26 , pp. 109-124
    • Gan, F.F.1
  • 10
    • 77956889087 scopus 로고
    • Reversible jump Markov Chain Monte Carlo computation and Bayesian model determination
    • Green P.J. Reversible jump Markov Chain Monte Carlo computation and Bayesian model determination. Biometrika 82 (1995) 711-732
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 11
    • 0035964980 scopus 로고    scopus 로고
    • Fitting multiple change-point models to data
    • Hawkins D.M. Fitting multiple change-point models to data. Comput. Statist. Data Anal. 37 (2001) 323-341
    • (2001) Comput. Statist. Data Anal. , vol.37 , pp. 323-341
    • Hawkins, D.M.1
  • 12
    • 77956887957 scopus 로고
    • Inference about the change point in a sequence of random variables
    • Hinkley D. Inference about the change point in a sequence of random variables. Biometrika 57 (1970) 1-17
    • (1970) Biometrika , vol.57 , pp. 1-17
    • Hinkley, D.1
  • 13
    • 33749848531 scopus 로고
    • Use of cumulative sums of squares for retrospective detection of changes of variance
    • Inclán C., and Tiao G.C. Use of cumulative sums of squares for retrospective detection of changes of variance. J. Amer. Statist. Assoc. 89 (1994) 913-923
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 913-923
    • Inclán, C.1    Tiao, G.C.2
  • 14
    • 0000481081 scopus 로고    scopus 로고
    • Capturing the distributional behavior of the maximum likelihood estimation of a changepoint
    • Jandhyala V.K., and Fotopoulos S.B. Capturing the distributional behavior of the maximum likelihood estimation of a changepoint. Biometrika 86 (1999) 129-140
    • (1999) Biometrika , vol.86 , pp. 129-140
    • Jandhyala, V.K.1    Fotopoulos, S.B.2
  • 15
    • 0034282349 scopus 로고    scopus 로고
    • A comparison of unconditional and conditional solutions to the maximum likelihood estimation of a change-point
    • Jandhyala V.K., Fotopoulos S.B., and Evaggelopoulos N.E. A comparison of unconditional and conditional solutions to the maximum likelihood estimation of a change-point. Comput. Statist. Data Anal. 34 (2000) 315-334
    • (2000) Comput. Statist. Data Anal. , vol.34 , pp. 315-334
    • Jandhyala, V.K.1    Fotopoulos, S.B.2    Evaggelopoulos, N.E.3
  • 16
    • 0018342609 scopus 로고
    • A note on the intervals between coal-minning disasters
    • Jarrett R.G. A note on the intervals between coal-minning disasters. Biometrika 66 (1979) 191-193
    • (1979) Biometrika , vol.66 , pp. 191-193
    • Jarrett, R.G.1
  • 18
    • 8444222024 scopus 로고    scopus 로고
    • Data-analytic aspects of the Shiryayev-Roberts control chart: Surveillance of a non-homogeneous Poisson process
    • Kenett R.S., and Pollak M. Data-analytic aspects of the Shiryayev-Roberts control chart: Surveillance of a non-homogeneous Poisson process. J. Appl. Statist. 23 (1996) 125-137
    • (1996) J. Appl. Statist. , vol.23 , pp. 125-137
    • Kenett, R.S.1    Pollak, M.2
  • 19
    • 0007872092 scopus 로고
    • The time intervals between industrial accidents
    • Maguire B.A., Pearson E.S., and Wynn A.H.A. The time intervals between industrial accidents. Biometrika 39 (1952) 168-180
    • (1952) Biometrika , vol.39 , pp. 168-180
    • Maguire, B.A.1    Pearson, E.S.2    Wynn, A.H.A.3
  • 20
    • 0001624219 scopus 로고
    • Asymptotics for linear processes
    • Phillips P.C.B., and Solo V. Asymptotics for linear processes. Ann. Statist. 20 (1992) 971-1001
    • (1992) Ann. Statist. , vol.20 , pp. 971-1001
    • Phillips, P.C.B.1    Solo, V.2
  • 21
    • 0000152396 scopus 로고
    • Change point and change curve modeling in stochastic processes and spatial statistics
    • Raftery A.E. Change point and change curve modeling in stochastic processes and spatial statistics. J. Appl. Statist. Sci. 1 (1994) 403-424
    • (1994) J. Appl. Statist. Sci. , vol.1 , pp. 403-424
    • Raftery, A.E.1
  • 22
    • 77956888572 scopus 로고
    • Bayesian analysis of a Poisson Process with a change-point
    • Raftery A.E., and Akman V.E. Bayesian analysis of a Poisson Process with a change-point. Biometrika 73 (1986) 85-89
    • (1986) Biometrika , vol.73 , pp. 85-89
    • Raftery, A.E.1    Akman, V.E.2
  • 23
    • 0001793095 scopus 로고
    • Confidence sets in change points problems
    • Siegmund D. Confidence sets in change points problems. Int. Stat. Rev. 56 (1988) 31-48
    • (1988) Int. Stat. Rev. , vol.56 , pp. 31-48
    • Siegmund, D.1
  • 24
    • 0002085217 scopus 로고
    • Detecting "disorder" in multidimensional random processes
    • Vostrikova L.J. Detecting "disorder" in multidimensional random processes. Sov. Math. Dokl. 24 (1981) 55-59
    • (1981) Sov. Math. Dokl. , vol.24 , pp. 55-59
    • Vostrikova, L.J.1
  • 25
    • 77956887062 scopus 로고
    • Confidence regions and tests for a change-point in a sequence of exponential family random variables
    • Worsley K.J. Confidence regions and tests for a change-point in a sequence of exponential family random variables. Biometrika 73 (1986) 91-104
    • (1986) Biometrika , vol.73 , pp. 91-104
    • Worsley, K.J.1
  • 26
    • 0035564332 scopus 로고    scopus 로고
    • Bayesian binary segmentation procedure for a Poisson process with multiple changepoints
    • Yang T.Y., and Kuo L. Bayesian binary segmentation procedure for a Poisson process with multiple changepoints. J. Comput. Graph. Statist. 10 (2001) 772-785
    • (2001) J. Comput. Graph. Statist. , vol.10 , pp. 772-785
    • Yang, T.Y.1    Kuo, L.2
  • 27
    • 0001464242 scopus 로고
    • Approximating the distribution of the maximum likelihood estimate of the change-point in a sequence of independent random variables
    • Yao Y. Approximating the distribution of the maximum likelihood estimate of the change-point in a sequence of independent random variables. Ann. Statist. 15 (1987) 1321-1328
    • (1987) Ann. Statist. , vol.15 , pp. 1321-1328
    • Yao, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.