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Planar Segment Processes with Reference Mark Distributions, Modeling and Estimation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401216" target="_blank" >RIV/00216208:11320/19:10401216 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Y8bDfbayK" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Y8bDfbayK</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11009-017-9608-x" target="_blank" >10.1007/s11009-017-9608-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Planar Segment Processes with Reference Mark Distributions, Modeling and Estimation

  • Original language description

    The paper deals with planar segment processes given by a density with respect to the Poisson process. Parametric models involve reference distributions of directions and/or lengths of segments. These distributions generally do not coincide with the corresponding observed distributions. Statistical methods are presented which first estimate scalar parameters by known approaches and then the reference distribution is estimated non-parametrically. Besides a general theory we offer two models, first a Gibbs type segment process with reference directional distribution and secondly an inhomogeneous process with reference length distribution. The estimation is demonstrated in simulation studies where the variability of estimators is presented graphically.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GA16-03708S" target="_blank" >GA16-03708S: Spatial geometrical statistics of random sets in Euclidean spaces</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Methodology and Computing in Applied Probability

  • ISSN

    1387-5841

  • e-ISSN

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    683-698

  • UT code for WoS article

    000484932800003

  • EID of the result in the Scopus database

    2-s2.0-85035309502