On testing reduction of a left-censored Weibull distribution to an exponential submodel

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU123903" target="_blank" >RIV/00216305:26220/17:PU123903 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On testing reduction of a left-censored Weibull distribution to an exponential submodel
Original language description
When analyzing environmental or chemical data, it is often necessary to deal with left-censored observations. Since the distribution of the observed variable is often asymmetric, the exponential or the Weibull distribution can be used. This paper summarizes statistical model of a multiply left-censored Weibull distribution, and estimation of its parameters and their variances using the expected Fisher information matrix. Since in many situations the Weibull distribution is unnecessarily complicated for data modelling, statistical tests (the Lagrange multiplier test, the likelihood ratio test, the Wald test) for assessing suitability of replacement of the censored Weibull distribution with the exponential submodel are introduced and their power functions are analyzed using simulations.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10103 - Statistics and probability

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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