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FUSEK, M.
Originální název
On testing reduction of a left-censored Weibull distribution to an exponential submodel
Typ
článek v časopise ve Scopus, Jsc
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Asymptotic tests, multiply left-censored data, Fisher information matrix, maximum likelihood
Autoři
Vydáno
20. 6. 2017
ISSN
1803-3814
Periodikum
Mendel Journal series
Ročník
23
Číslo
1
Stát
Česká republika
Strany od
179
Strany do
184
Strany počet
6
BibTex
@article{BUT137290, author="Michal {Fusek}", title="On testing reduction of a left-censored Weibull distribution to an exponential submodel", journal="Mendel Journal series", year="2017", volume="23", number="1", pages="179--184", issn="1803-3814" }