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On Random Fields of Segments and Random Mosaics on the Plane

1974; Society for Industrial and Applied Mathematics; Volume: 18; Issue: 3 Linguagem: Inglês

10.1137/1118063

1095-7219

R. V. Ambartsumyan,

Point processes and geometric inequalities

Previous article Next article On Random Fields of Segments and Random Mosaics on the PlaneR. V. AmbartsumyanR. V. Ambartsumyanhttps://doi.org/10.1137/1118063PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] W. Blaschke, Vorlesüngenuber Integralgeometrie, Chelsea, New York, 1949 Google Scholar[2] Klaus Matthes, Stationäre zufällige Punktfolgen. I, Jber. Deutsch. Math.-Verein, 66 (1963/1964), 66–79 MR0160265 (28:3479) 0178.52803 Google Scholar[3] R. V. Ambartzumian, Palm distributions and superpositions of independent point processes in $R\sp{n}$, Stochastic point processes: statistical analysis, theory, and applications (Conf., IBM Res. Center, Yorktown Heights, N. Y., 1971), Wiley-Interscience, New York, 1972, 626–645 MR0410914 (53:14655) 0278.60034 Google Scholar[4] R. V. Ambartsumian, Random fields of segments and random mosaics on a plane, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. III: Probability theory, Univ. California Press, Berkeley, Calif., 1972, 369–381 MR0410843 (53:14586) 0261.60044 Google Scholar[5] L. A. Santaló, Introduction to integral geometry, Actualités Sci. Ind., no. 1198, Publ. Inst. Math. Univ. Nancago II. Herman et Cie, Paris, 1953, 127– MR0060840 (15,736d) 0052.39403 Google Scholar[6] Rollo Davidson, Construction of line processes: second order properties, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 5 (1970), 219–234 MR0286051 (44:3267) 0308.60013 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Cross-Correlation Measures of Weighted Random Measures and Their EstimationD. Stoyan and J. Ohser17 July 2006 | Theory of Probability & Its Applications, Vol. 29, No. 2AbstractPDF (929 KB) Volume 18, Issue 3| 1974Theory of Probability & Its Applications History Submitted:02 February 1971Published online:28 July 2006 InformationCopyright © 1974 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1118063Article page range:pp. 486-498ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics