2007
DOI: 10.1007/s11203-006-9006-4
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Survival analysis in Johnson–Mehl Tessellation

Abstract: Crystallization process, Johnson–Mehl tessellations, Nelson–Aalen estimator, Kaplan–Meier estimator, Primary 62N02, Secondary 62P30, Secondary 60G55,

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Cited by 6 publications
(4 citation statements)
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“…If the process X satisfies the required condition X 1 ¼ 1 this means that we are generally dealing with a relative value. In the crystallization process for example (see Capasso and Micheletti, 2003;Møller, 1992;Aletti and Saada, 2005), we often wish to determine the degree of crystallinity. Nuclei, which are somewhat the kernel of a crystal, are born in a random way in free space and start growing till they hit another crystal.…”
Section: The Problemmentioning
confidence: 99%
“…If the process X satisfies the required condition X 1 ¼ 1 this means that we are generally dealing with a relative value. In the crystallization process for example (see Capasso and Micheletti, 2003;Møller, 1992;Aletti and Saada, 2005), we often wish to determine the degree of crystallinity. Nuclei, which are somewhat the kernel of a crystal, are born in a random way in free space and start growing till they hit another crystal.…”
Section: The Problemmentioning
confidence: 99%
“…Different parametric and non parametric estimations are proposed over the years, cf. [2,9,12,15,19,29,32] and references therein.…”
Section: Introductionmentioning
confidence: 99%
“…In view of the chosen framework, different parametric and nonparametric estimations are proposed over the years (cf. [2,5,7,9,12,24,27] and references therein). Note that the existence of the outwards normal vector imposes a regularity condition on ∂Θt (and also on the nucleation process: it cannot be a point process).…”
Section: Introductionmentioning
confidence: 99%