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Left‑censored samples from skewed distributions: Statistical inference and applications

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG42__%2F18%3A00535018" target="_blank" >RIV/60162694:G42__/18:00535018 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216305:26220/18:PU127263

  • Result on the web

    <a href="https://acta.mendelu.cz/media/pdf/actaun_2018066010245.pdf" target="_blank" >https://acta.mendelu.cz/media/pdf/actaun_2018066010245.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.11118/actaun201866010245" target="_blank" >10.11118/actaun201866010245</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Left‑censored samples from skewed distributions: Statistical inference and applications

  • Original language description

    Left‑censored data occur frequently in many areas. At present, researchers pay attention to skewed censored distributions more frequently. This paper deals with statistical inference of type I multiply left‑censored Weibull and exponential distributions. It suggests a computational procedure for calculation of maximum likelihood estimates of the parameters. The expected Fisher information matrix for estimation of variances of estimated parameters is introduced. The estimates are then used for construction of confidence intervals for the expectation using the maximum likelihood method. Asymptotic tests for comparison of distributions (expectations respectively) of two independent left‑censored Weibull samples are proposed. Furthermore, asymptotic tests for assessing suitability of reduction of the Weibull distribution to the exponential distribution are introduced. Finally, the left‑censored exponential distribution is briefly described. Methods derived in this paper are illustrated on elemental carbon measurements, and can be applied in analysis of real environmental and/or chemical data.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis

  • ISSN

    1211-8516

  • e-ISSN

    2464-8310

  • Volume of the periodical

    66

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    8

  • Pages from-to

    245-252

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-85043706696