On estimating the reduced second moment measure of a stationary spatial point process

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On estimating the reduced second moment measure of a stationary spatial point process. / Chetwynd, A. G.; Diggle, P. J.
In: Australian and New Zealand Journal of Statistics, Vol. 40, No. 1, 03.1998, p. 11-15.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Chetwynd, AG & Diggle, PJ 1998, 'On estimating the reduced second moment measure of a stationary spatial point process', Australian and New Zealand Journal of Statistics, vol. 40, no. 1, pp. 11-15. https://doi.org/10.1111/1467-842X.00002

APA

Chetwynd, A. G., & Diggle, P. J. (1998). On estimating the reduced second moment measure of a stationary spatial point process. Australian and New Zealand Journal of Statistics, 40(1), 11-15. https://doi.org/10.1111/1467-842X.00002

Vancouver

Chetwynd AG , Diggle PJ. On estimating the reduced second moment measure of a stationary spatial point process. Australian and New Zealand Journal of Statistics. 1998 Mar;40(1):11-15. doi: 10.1111/1467-842X.00002

Author

Chetwynd, A. G. ; Diggle, P. J. / On estimating the reduced second moment measure of a stationary spatial point process. In: Australian and New Zealand Journal of Statistics. 1998 ; Vol. 40, No. 1. pp. 11-15.

Bibtex

@article{37772c17133f4eeb928a1b925ab29156,

title = "On estimating the reduced second moment measure of a stationary spatial point process",

abstract = "A method is proposed for estimating the covariance structure of a nonparametric estimator for the reduced second moment measure, K(s), of a homogeneous planar Poisson process. The method relies on the invariance of the reduced second moment measure to random thinning, and the known covariance structure of the estimator under random sampling from a fixed set of points. The possible extension of the method to stationary Cox processes is discussed.",

keywords = "Point process, Second-order analysis, Spatial statistics, Variance of estimation",

author = "Chetwynd, {A. G.} and Diggle, {P. J.}",

year = "1998",

month = mar,

doi = "10.1111/1467-842X.00002",

language = "English",

volume = "40",

pages = "11--15",

journal = "Australian and New Zealand Journal of Statistics",

issn = "1369-1473",

publisher = "Wiley-Blackwell",

number = "1",

}

RIS

TY - JOUR

T1 - On estimating the reduced second moment measure of a stationary spatial point process

AU - Chetwynd, A. G.

AU - Diggle, P. J.

PY - 1998/3

Y1 - 1998/3

N2 - A method is proposed for estimating the covariance structure of a nonparametric estimator for the reduced second moment measure, K(s), of a homogeneous planar Poisson process. The method relies on the invariance of the reduced second moment measure to random thinning, and the known covariance structure of the estimator under random sampling from a fixed set of points. The possible extension of the method to stationary Cox processes is discussed.

AB - A method is proposed for estimating the covariance structure of a nonparametric estimator for the reduced second moment measure, K(s), of a homogeneous planar Poisson process. The method relies on the invariance of the reduced second moment measure to random thinning, and the known covariance structure of the estimator under random sampling from a fixed set of points. The possible extension of the method to stationary Cox processes is discussed.

KW - Point process

KW - Second-order analysis

KW - Spatial statistics

KW - Variance of estimation

U2 - 10.1111/1467-842X.00002

DO - 10.1111/1467-842X.00002

M3 - Journal article

AN - SCOPUS:18244381547

VL - 40

SP - 11

EP - 15

JO - Australian and New Zealand Journal of Statistics

JF - Australian and New Zealand Journal of Statistics

SN - 1369-1473

IS - 1

ER -

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