![[PDF]](/pb-assets/Icons/adobe-pdf-icon-1498649896243.png){kind=icon}
Abstract
We consider the problem of detecting and describing space-time interaction in point process data. We extend existing second-order methods for purely spatial point process data to the spatial-temporal setting. This extension allows us to estimate space-time interaction as a function of spatial and temporal separation, and provides a useful reinterpretation of a popular test, due to Knox, for space-time interaction. Applications to simulated and real data indicate the method's potential.
|
Knox G. Detection of low density epidemicity. British Journal of Preventative and Social Medicine 1963; 17: 121-27. Google Scholar | Medline | |
|
Knox G. Epidemology of childhood leukaemia in Northumberland and Durham. British Journal of Preventative and Social Medicine 1984; 18: 17-24. Google Scholar | |
|
Barton DE , David FN The random intersection of two graphs. In: David FN ed. Research papers in statistics. New York: Wiley, 1966: 455-590. Google Scholar | |
|
Besag J. , Diggle PJ Simple Monte Carlo tests for spatial pattern. Applied Statistics 1977; 26: 327-33. Google Scholar | Crossref | |
|
Williams GW Time-space clustering of disease. In: Cornell RG ed. Statistical methods for cancer studies. New York: Marcel Dekker, 1984:167-227. Google Scholar | |
|
Bhopal RS , Diggle PJ , Rowlingson BS Pinpointing clusters of apparently sporadic Legionnaires' disease. British Medical Journal 1992; 304: 1022-27. Google Scholar | Crossref | Medline | |
|
Daley DJ , Vere-Jones D. An introduction to the theory of point processes. New York : Springer-Verlag, 1988. Google Scholar | |
|
Stoyan D. , Kendall WS , Mecke J. Stochastic geometry and its applications. Berlin: Akademie-Verlag, 1987. Google Scholar | |
|
Ripley BD The second-order analysis of stationary point processes. Journal of Applied Probability 1976; 13: 255-66. Google Scholar | Crossref | ISI | |
|
Ripley BD Modelling spatial patterns (with Discussion). Journal of the Royal Statistical Society, Series B 1977; 39: 172-212. Google Scholar | |
|
Ripley BD Edge effects in spatial stochastic processes. In: Ranneby B ed. Statistics in theory and practice. Umeå: Swedish University of Agricultural Sciences, 1982: 247-62. Google Scholar | |
|
Cliff AD , Ord JK Spatial processes: models and applications. London: Pion, 1981. Google Scholar | |
|
Ripley BD Spatial statistics. New York: Wiley . Google Scholar | |
|
Diggle PJ Statistical analysis of spatial point patterns. London : Academic Press, 1983. Google Scholar | |
|
Cressie N. Statistics for spatial data. New York: Wiley, 1991. Google Scholar | |
|
Diggle PJ A kernel method for smoothing point process data. Applied Statistics 1985; 34: 138-47. Google Scholar | Crossref | ISI | |
|
Barnard GA Contribution to the Discussion of Professor Bartlett's paper. Journal of the Royal Statistical Society, Series B 1963; 25: 294. Google Scholar | |
|
Gilman EA , Knox EG Temporal-spatial distribution of childhood leukaemias and non-Hodgkin lymphomas in Great Britain. In: Draper G ed. The geographical epidemiology of childhood leukaemia and non-Hodgkin lymphomas in Great Britain, 1966-83. London: HMSO, 1991. Google Scholar |
