메뉴 건너뛰기




Volumn 52, Issue 1, 1996, Pages 226-242

Estimation of Poisson intensity using partially observed concomitant variables

Author keywords

Gaussian random field; Inhomogeneous Poisson process; Modulated Poisson process; Spatial point process; Spatial prediction

Indexed keywords

GAUSSIAN DISTRIBUTION; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; POISSON DISTRIBUTION;

EID: 0029663474     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533158     Document Type: Article
Times cited : (25)

References (35)
  • 2
    • 0001582848 scopus 로고
    • Comment on "The spectral analysis of point processes" by M. S. Bartlett
    • Barnard, G. (1963). Comment on "The spectral analysis of point processes" by M. S. Bartlett. Journal of the Royal Statistical Society, Series B 25, 294.
    • (1963) Journal of the Royal Statistical Society, Series B , vol.25 , pp. 294
    • Barnard, G.1
  • 3
    • 0002677308 scopus 로고
    • The statistical analysis dependencies in point processes
    • P. A. W. Lewis (ed), New York: Wiley
    • Cox, D. R. (1972). The statistical analysis dependencies in point processes. In Stochastic Point Processes, P. A. W. Lewis (ed), 55-66. New York: Wiley.
    • (1972) Stochastic Point Processes , pp. 55-66
    • Cox, D.R.1
  • 6
    • 0026467267 scopus 로고
    • On the stability of the geostatistical method
    • Cressie, N. and Zimmerman, D. L. (1992). On the stability of the geostatistical method. Mathematical Geology 24, 45-59.
    • (1992) Mathematical Geology , vol.24 , pp. 45-59
    • Cressie, N.1    Zimmerman, D.L.2
  • 11
    • 0022249579 scopus 로고
    • A kernel method for smoothing point process data
    • Diggle, P. J. (1985). A kernel method for smoothing point process data. Applied Statistics 34, 138-147.
    • (1985) Applied Statistics , vol.34 , pp. 138-147
    • Diggle, P.J.1
  • 12
  • 13
    • 0002203120 scopus 로고
    • Monte Carlo methods using Markov chains and their applications
    • Hastings, W. K. (1970). Monte Carlo methods using Markov chains and their applications. Biometrika 58, 83-90.
    • (1970) Biometrika , vol.58 , pp. 83-90
    • Hastings, W.K.1
  • 14
    • 3042749407 scopus 로고
    • Universal kriging (an optimal method for estimating and contouring in trend surface analysis)
    • Proceedings of the Ninth International Symposium on Techniques for Decision-Making in the Mineral Industry, J. I. McGerrigle (ed)
    • Huijbregts, C. J. and Matheron, G. (1971). Universal kriging (an optimal method for estimating and contouring in trend surface analysis). In Proceedings of the Ninth International Symposium on Techniques for Decision-Making in the Mineral Industry, J. I. McGerrigle (ed). The Canadian Institute of Mining and Metallurgy, Special Volume 12, 159-169.
    • (1971) The Canadian Institute of Mining and Metallurgy , vol.12 SPECIAL VOLUME , pp. 159-169
    • Huijbregts, C.J.1    Matheron, G.2
  • 16
    • 0001297415 scopus 로고
    • When do we need a trend model in kriging?
    • Journel, A. G. and Rossi, M. E. (1989). When do we need a trend model in kriging? Mathematical Geology 21, 715-739.
    • (1989) Mathematical Geology , vol.21 , pp. 715-739
    • Journel, A.G.1    Rossi, M.E.2
  • 17
    • 0020969294 scopus 로고
    • Statistical estimation of polynomial generalized covariance functions and hydrologic applications
    • Kitanidis, P. K. (1983). Statistical estimation of polynomial generalized covariance functions and hydrologic applications. Water Resources Research 19, 909-921.
    • (1983) Water Resources Research , vol.19 , pp. 909-921
    • Kitanidis, P.K.1
  • 18
    • 0020969318 scopus 로고
    • A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulation
    • Kitanidis, P. K. and Vomvoris, E. G. (1983). A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulation. Water Resources Research 19, 677-690.
    • (1983) Water Resources Research , vol.19 , pp. 677-690
    • Kitanidis, P.K.1    Vomvoris, E.G.2
  • 19
    • 0018519083 scopus 로고
    • Simulation of non-homogeneous Poisson processes by thinning
    • Lewis, P. A. W. and Shedler, G. S. (1979). Simulation of non-homogeneous Poisson processes by thinning. Naval Research Logistics Quarterly 26, 403-413.
    • (1979) Naval Research Logistics Quarterly , vol.26 , pp. 403-413
    • Lewis, P.A.W.1    Shedler, G.S.2
  • 22
    • 0000487096 scopus 로고
    • A Monte Carlo method for high dimensional integration
    • Ogata, Y. (1989). A Monte Carlo method for high dimensional integration. Numerische Mathematik 55, 137-157.
    • (1989) Numerische Mathematik , vol.55 , pp. 137-157
    • Ogata, Y.1
  • 23
    • 0001564783 scopus 로고
    • Likelihood estimation of interaction potentials and external fields of inhomogeneous spatial point patterns
    • I. S. Francis, B. F. J. Manly, and F. C. Lam (eds), Amsterdam: Elsevier
    • Ogata, Y. and Tanemura, M. (1986). Likelihood estimation of interaction potentials and external fields of inhomogeneous spatial point patterns. In Pacific Statistical Congress, I. S. Francis, B. F. J. Manly, and F. C. Lam (eds), Amsterdam: Elsevier. 150-154.
    • (1986) Pacific Statistical Congress , pp. 150-154
    • Ogata, Y.1    Tanemura, M.2
  • 25
    • 77956889208 scopus 로고
    • Recovery of interblock information when block sizes are unequal
    • Patterson, H. D. and Thompson, R. (1971). Recovery of interblock information when block sizes are unequal. Biometrika 58, 545-554.
    • (1971) Biometrika , vol.58 , pp. 545-554
    • Patterson, H.D.1    Thompson, R.2
  • 27
    • 0000949943 scopus 로고
    • Asymptotic properties of estimators for the parameters of a spatial inhomogeneous Poisson point process
    • Rathbun, S. L. and Cressie, N. (1994). Asymptotic properties of estimators for the parameters of a spatial inhomogeneous Poisson point process. Advances in Applied Probability 26, 122-154.
    • (1994) Advances in Applied Probability , vol.26 , pp. 122-154
    • Rathbun, S.L.1    Cressie, N.2
  • 29
    • 0002319317 scopus 로고
    • Asymptotically efficient prediction of a random field with a misspecified covariance function
    • Stein, M. L. (1988). Asymptotically efficient prediction of a random field with a misspecified covariance function. Annals of Statistics 16, 55-63.
    • (1988) Annals of Statistics , vol.16 , pp. 55-63
    • Stein, M.L.1
  • 30
    • 0042613248 scopus 로고
    • Some asymptotic properties of kriging when the covariance function is misspecified
    • Stein, M. L. and Handcock, M. S. (1989). Some asymptotic properties of kriging when the covariance function is misspecified. Mathematical Geology 21, 171-190.
    • (1989) Mathematical Geology , vol.21 , pp. 171-190
    • Stein, M.L.1    Handcock, M.S.2
  • 31
    • 0042519202 scopus 로고
    • A sensitivity analysis for universal kriging
    • Warnes, J. J. (1986). A sensitivity analysis for universal kriging. Mathematical Geology 18, 653-676.
    • (1986) Mathematical Geology , vol.18 , pp. 653-676
    • Warnes, J.J.1
  • 32
    • 0041117406 scopus 로고
    • A comparison of kriging with nonparametric regression methods
    • Yakowitz, S. J. and Szidarovszky, F. (1985). A comparison of kriging with nonparametric regression methods. Journal of Multivariate Analysis 16, 21-53.
    • (1985) Journal of Multivariate Analysis , vol.16 , pp. 21-53
    • Yakowitz, S.J.1    Szidarovszky, F.2
  • 33
    • 0001929873 scopus 로고
    • Computationally exploitable structure of covariance matrices and generalized covariance matrices in spatial models
    • Zimmerman, D. L. (1989). Computationally exploitable structure of covariance matrices and generalized covariance matrices in spatial models. Journal of Statistical Computation and Simulation 32, 1-15.
    • (1989) Journal of Statistical Computation and Simulation , vol.32 , pp. 1-15
    • Zimmerman, D.L.1
  • 34
    • 0001839646 scopus 로고
    • Mean squared prediction error in the spatial linear model with estimated covariance parameters
    • Zimmerman, D. L. and Cressie, N. (1992). Mean squared prediction error in the spatial linear model with estimated covariance parameters. Annals of the Institute of Statistical Mathematics 44, 27-43.
    • (1992) Annals of the Institute of Statistical Mathematics , vol.44 , pp. 27-43
    • Zimmerman, D.L.1    Cressie, N.2
  • 35
    • 0026105175 scopus 로고
    • A comparison of spatial semivariogram estimators and corresponding ordinary kriging predictors
    • Zimmerman, D. L. and Zimmerman, M. B. (1991). A comparison of spatial semivariogram estimators and corresponding ordinary kriging predictors. Technometrics 33, 77-91.
    • (1991) Technometrics , vol.33 , pp. 77-91
    • Zimmerman, D.L.1    Zimmerman, M.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.