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Volumn 61, Issue 3, 2009, Pages 599-628

Estimating the intensity of a cyclic Poisson process in the presence of linear trend

Author keywords

Bias; Consistency; Cyclic Poisson process; Intensity function; Linear trend; Mean squared error; Nonparametric estimation; Variance

Indexed keywords

BIAS; CONSISTENCY; CYCLIC POISSON PROCESS; INTENSITY FUNCTION; LINEAR TREND; MEAN-SQUARED ERROR; NONPARAMETRIC ESTIMATION; VARIANCE;

EID: 68649112588     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-007-0160-2     Document Type: Article
Times cited : (11)

References (13)
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    • A.Y. Dorogovtsev A.G. Kukush 1996 Asymptotic properties of a nonparametric intensity estimator of a nonhomogeneous Poisson process Cybernetics and Systems Analysis 32 74 85
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  • 4
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    • On estimating the period of a cyclic Poisson process
    • M. Moore, S. Froda, C. Leger (Eds.) Mathematical statistics and applications: Festschrift in honor of Constance van Eeden
    • Helmers, R., Mangku, I. W. (2003). On estimating the period of a cyclic Poisson process. In: M. Moore, S. Froda, C. Leger (Eds.) Mathematical statistics and applications: Festschrift in honor of Constance van Eeden. IMS lecture notes series-Monograph series, Vol. 42, pp. 345-356.
    • (2003) IMS Lecture Notes Series-Monograph Series , vol.42 , pp. 345-356
    • Helmers, R.1    Mangku, I.W.2
  • 6
    • 0037288739 scopus 로고    scopus 로고
    • Consistent estimation of the intensity function of a cyclic Poisson process
    • R. Helmers I.W. Mangku R. Zitikis 2003 Consistent estimation of the intensity function of a cyclic Poisson process Journal of Multivariate Analysis 84 19 39
    • (2003) Journal of Multivariate Analysis , vol.84 , pp. 19-39
    • Helmers, R.1    Mangku, I.W.2    Zitikis, R.3
  • 7
    • 6444242916 scopus 로고    scopus 로고
    • Statistical properties of a kernel-type estimator of the intensity function of a cyclic Poisson process
    • R. Helmers I.W. Mangku R. Zitikis 2005 Statistical properties of a kernel-type estimator of the intensity function of a cyclic Poisson process Journal of Multivariate Analysis 92 1 23
    • (2005) Journal of Multivariate Analysis , vol.92 , pp. 1-23
    • Helmers, R.1    Mangku, I.W.2    Zitikis, R.3
  • 8
    • 0033622217 scopus 로고    scopus 로고
    • Asymptotic properties of an intensity estimator of an inhomogeneous Poisson process in a combined model
    • A.G. Kukush Y.S. Mishura 2000 Asymptotic properties of an intensity estimator of an inhomogeneous Poisson process in a combined model Theory of Probability and Its Applications 44 2 273 292
    • (2000) Theory of Probability and Its Applications , vol.44 , Issue.2 , pp. 273-292
    • Kukush, A.G.1    Mishura, Y.S.2
  • 9
    • 68649096345 scopus 로고    scopus 로고
    • Asymptotic properties of a nonparametric estimate of the intensity of a nonhomogeneous Poisson field
    • A.G. Kukush A.O. Stepanishcheva 2002 Asymptotic properties of a nonparametric estimate of the intensity of a nonhomogeneous Poisson field Theory of Probability and Mathematical Statistics 65 101 114
    • (2002) Theory of Probability and Mathematical Statistics , vol.65 , pp. 101-114
    • Kukush, A.G.1    Stepanishcheva, A.O.2
  • 10
    • 0021606127 scopus 로고
    • On nonparametric estimation of intensity function of inhomogeneous Poisson Processes
    • Y.A. Kutoyants 1984 On nonparametric estimation of intensity function of inhomogeneous Poisson Processes Problems of Control and Information Theory 13 4 253 258
    • (1984) Problems of Control and Information Theory , vol.13 , Issue.4 , pp. 253-258
    • Kutoyants, Y.A.1
  • 11
    • 0001085196 scopus 로고    scopus 로고
    • Statistical inference for spatial poisson processes
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    • Kutoyants, Y. A. (1998). Statistical inference for spatial poisson processes. Lecture notes in statistics, Vol. 134. New York: Springer
    • (1998) Lecture Notes in Statistics , vol.134
    • Kutoyants, Y.A.1
  • 12
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    • On the estimation of frequency in point-process data
    • D. Vere-Jones 1982 On the estimation of frequency in point-process data Journal of Applied Probability 19A 383 394
    • (1982) Journal of Applied Probability , vol.19 , pp. 383-394
    • Vere-Jones, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.