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A one-dimensional Poisson growth model with non-overlapping intervals.

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Publication:1879492
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DOI10.1016/S0304-4149(00)00049-1zbMath1047.60006OpenAlexW2131800074WikidataQ126777902 ScholiaQ126777902MaRDI QIDQ1879492

Daryl J. Daley, Colin L. Mallows, Lawrence A. Shepp

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(00)00049-1


zbMATH Keywords

lilypond modelgerm-grain modelalternating renewal processgrain-length distributionStienen model


Mathematics Subject Classification ID

Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items

Iterated Gilbert mosaics ⋮ A note on the lilypond model ⋮ Geometrical selection in growing needles ⋮ Percolation and limit theory for the poisson lilypond model ⋮ On a Class of Growth-Maximal Hardcore Processes



Cites Work

  • Nearest neighbor and hard sphere models in continuum percolation
  • The volume fraction of a Poisson germ model with maximally non-overlapping spherical grains
  • The stochastic theory of regenerative events
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