Reduction of n-th moment measures and the special case of the third moment measure of stationary and isotropic planar point processes

References

• Broad bent , S. 1980 . Simulating the Ley Hunter . J. Moy, Statist; Soc, A , 143 : 109 – 140 .
   Web of Science ®Google Scholar
• Hanisch , K.H. and Stoyan , D. 1979 . Formulas for the second-order analysis of marked point processes . Math. Operationsforsch, Statist., Ser, Statistics , 10 : 555 – 560 .
   Google Scholar
• Jagers , P. 1933 . On Palm probabilities . Wahrscheinchkeitstheorie verw. Gebiete , 26 : 17 – 32 .
   Web of Science ®Google Scholar
• Kendall , D.G. and Kendall , W.S. 1980 . Alignments in two-dimensional random sets of points . Adv. Appl. Prob. , 12 : 380 – 424 .
   Web of Science ®Google Scholar
• Krickeberg , K. 1973 . Moments of Point-Processes , Edited by: Harding/Kendall . 76 – 88 . New York : Stochastic Geometry .
   Google Scholar
• Matthes , K. , Kerstan , J. and Mecke , J. 1978 . Infinitely Divisible Point Processes. , New York - Brisbane : John Wiley & Sons, Chichester .
   Google Scholar
• Mecke , J. 1967 . Stationare zufällige Maße auf lokal kompakten Abelschen Gruppen . Z. Wahrscheinlichkeitstheorie verw. Gebiete , 9 : 36 – 58 .
   Web of Science ®Google Scholar
• Mecke , J. 1976 . Moment measures of random measures , Jena : Unpublished report .
   Google Scholar
• Mecke , J. 1979 . The n-th Campbell measure , Jena : Unpublished report .
   Google Scholar
• Ohser , J. 1981 . On estimators for the reduced second moment measure of point processes (in press)
   Google Scholar
• Ohser , J. and Stoyan , D. 1981 . On the second-order and orientation analysis of planar stationary point processes . Biom. J. , 23
   Google Scholar
• Ripley , B.D. 1976 . The second-order analysis of stationary point processes . J. Appl. Prob , 13 : 255 – 266 .
   Web of Science ®Google Scholar
• Ripley , B.D. 1977 . Modelling spatial patterns . J. Roy. Statist. Soc. B , 39 : 172 – 212 .
   Google Scholar
• Ryll-nardzewski , C. 1961 . Remarks on Processes of Calls . Proc. 4-th Berkeley Sympos. math. Statist. Probab. , 2 : 455 – 465 .
   Google Scholar