On the left-censored samples from exponential and weibull distribution: Theory and application

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F16%3APU120026" target="_blank" >RIV/00216305:26220/16:PU120026 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the left-censored samples from exponential and weibull distribution: Theory and application

Popis výsledku v původním jazyce

Left-censored samples with one or more detection limits are very frequent in many application areas. The normal or log-normal distributions are usually used. However, the interest in statistical analyses of censored data with asymmetric distributions which cannot be easily transformed into symmetric ones (e.g. normal distribution) has increased in many application areas recently. This contribution is focused on type I left-censored samples from exponential and Weibull distribution. The statistical inference is based on the maximum likelihood method and the analytic form of the expected Fisher information matrix is presented. Properties of the unknown parameter estimates are examined using simulations and a special attention is paid to small sample sizes. Various asymptotic tests for comparison of two independent left-censored samples will be presented. Finally, use of the described methods will be demonstrated on real environmental data.

Název v anglickém jazyce

On the left-censored samples from exponential and weibull distribution: Theory and application

Popis výsledku anglicky

Left-censored samples with one or more detection limits are very frequent in many application areas. The normal or log-normal distributions are usually used. However, the interest in statistical analyses of censored data with asymmetric distributions which cannot be easily transformed into symmetric ones (e.g. normal distribution) has increased in many application areas recently. This contribution is focused on type I left-censored samples from exponential and Weibull distribution. The statistical inference is based on the maximum likelihood method and the analytic form of the expected Fisher information matrix is presented. Properties of the unknown parameter estimates are examined using simulations and a special attention is paid to small sample sizes. Various asymptotic tests for comparison of two independent left-censored samples will be presented. Finally, use of the described methods will be demonstrated on real environmental data.

Druh

O - Ostatní výsledky

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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