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Yıl 2014, Cilt: 43 Sayı: 2, 283 - 307, 01.04.2014

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On estimating population parameters in the presence of censored data: overview of available methods

Yıl 2014, Cilt: 43 Sayı: 2, 283 - 307, 01.04.2014

Öz

This paper examines recent results presented on estimating population
parameters in the presence of censored data with a single detection limit
(DL). The occurrence of censored data due to less than detectable measurements is a common problem with environmental data such as quality and quantity monitoring applications of water, soil, and air samples.
In this paper, we present an overview of possible statistical methods for
handling non-detectable values, including maximum likelihood, simple
substitution, corrected biased maximum likelihood, and EM algorithm
methods. Simple substitution methods (e.g. substituting 0, DL/2, or
DL for the non-detected values) are the most commonly used. It has
been shown via simulation that if population parameters are estimated
through simple substitution methods, this can cause significant bias
in estimated parameters. Maximum likelihood estimators may produce dependable estimates of population parameters even when 90% of
the data values are censored and can be performed using a computer
program written in the R Language. A new substitution method of
estimating population parameters from data contain values that are
below a detection limit is presented and evaluated. Worked examples
are given illustrating the use of these estimators utilizing computer
program. Copies of source codes are available upon request.

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Ayrıntılar

Birincil Dil İngilizce
Bölüm İstatistik
Yazarlar

Abou El-makarim A. Aboueissa Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 43 Sayı: 2

Kaynak Göster

APA Aboueissa, A. E.-m. A. (2014). On estimating population parameters in the presence of censored data: overview of available methods. Hacettepe Journal of Mathematics and Statistics, 43(2), 283-307.
AMA Aboueissa AEmA. On estimating population parameters in the presence of censored data: overview of available methods. Hacettepe Journal of Mathematics and Statistics. Nisan 2014;43(2):283-307.
Chicago Aboueissa, Abou El-makarim A. “On Estimating Population Parameters in the Presence of Censored Data: Overview of Available Methods”. Hacettepe Journal of Mathematics and Statistics 43, sy. 2 (Nisan 2014): 283-307.
EndNote Aboueissa AE-mA (01 Nisan 2014) On estimating population parameters in the presence of censored data: overview of available methods. Hacettepe Journal of Mathematics and Statistics 43 2 283–307.
IEEE A. E.-m. A. Aboueissa, “On estimating population parameters in the presence of censored data: overview of available methods”, Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 2, ss. 283–307, 2014.
ISNAD Aboueissa, Abou El-makarim A. “On Estimating Population Parameters in the Presence of Censored Data: Overview of Available Methods”. Hacettepe Journal of Mathematics and Statistics 43/2 (Nisan 2014), 283-307.
JAMA Aboueissa AE-mA. On estimating population parameters in the presence of censored data: overview of available methods. Hacettepe Journal of Mathematics and Statistics. 2014;43:283–307.
MLA Aboueissa, Abou El-makarim A. “On Estimating Population Parameters in the Presence of Censored Data: Overview of Available Methods”. Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 2, 2014, ss. 283-07.
Vancouver Aboueissa AE-mA. On estimating population parameters in the presence of censored data: overview of available methods. Hacettepe Journal of Mathematics and Statistics. 2014;43(2):283-307.