On the left-censored samples from exponential and weibull distribution: Theory and application
The result's identifiers
Result code in 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>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
On the left-censored samples from exponential and weibull distribution: Theory and application
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
O - Miscellaneous
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
—
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů