Publication detail
Statistical Analysis of Doubly Left-Censored Samples from Exponential Distribution
FUSEK, M. MICHÁLEK, J.
English title
Statistical Analysis of Doubly Left-Censored Samples from Exponential Distribution
Type
Paper in proceedings (conference paper)
Language
en
Original abstract
When analyzing environmental or chemical data, we often have to deal with left-censored observations with one or more detection limits. Estimators of the parameters are derived for Type I doubly left-censored data having two detection limits and assuming an underlying exponential distribution. Maximum likelihood estimate of the parameter is given and examined considering various number of censored observations. Theoretical Fisher information is analytically determined and compared with empirical Fisher information using simulations. Simulations are focused primarily on the properties of estimates for small sample size.
Keywords in English
doubly left-censored, likelihood function, maximum likelihood estimates, exponential distribution, Fisher information, Type I censoring
Released
2012-06-30
Publisher
Brno University of Technology
Location
Brno, Czech Republic
ISBN
978-80-214-4540-6
ISSN
1803-3814
Book
MENDEL 2012, 18th International Conference on Soft Computing
Journal
Mendel Journal series
Volume
2012
Pages from–to
564–569
Pages count
6
BIBTEX
@inproceedings{BUT93071,
author="Michal {Fusek} and Jaroslav {Michálek}",
title="Statistical Analysis of Doubly Left-Censored Samples from Exponential Distribution",
booktitle="MENDEL 2012, 18th International Conference on Soft Computing",
year="2012",
series="1",
journal="Mendel Journal series",
volume="2012",
number="1",
pages="564--569",
publisher="Brno University of Technology",
address="Brno, Czech Republic",
isbn="978-80-214-4540-6",
issn="1803-3814"
}