Effect of percent non-detects on estimation bias in censored distributions

Journal of Hydrology

Volumn 297, Issue 1-4, 2004, Pages 74-94

  Zhang, Z ^a   Lennox, W C ^b   Panu, U S ^b,c  

^a STANTEC CONSULTING LTD   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

^c LAKEHEAD UNIVERSITY   (Canada)

Author keywords

Bias; Censoring; Dirac function; Heaviside function; Non detects; Probability distribution function

Indexed keywords

METHOD DETECTION LIMIT (MDL);

COMPUTER SIMULATION; FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; PROBABILITY; STATISTICS;

HYDROLOGY;

MAXIMUM LIKELIHOOD ANALYSIS; STATISTICAL ANALYSIS;

EID: 3242754473     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.04.017     Document Type: Article

References (10)

1. Cohen A.C. Tables for maximum likelihood estimates: singly truncated and singly censored samples. Technometrics. 3:1961;535-541. (Chapter 4)
2. Cohen A.C. Truncated and Censored Samples: Theory and Applications. 1991;Marcel Dekker, New York
3. Davis, C.B., McNichols, R.J., 1993. Nonparametric simultaneous prediction limits, Technical Report, Environmetrics and Statistics LTD, Henderson, NV.
4. Durrans S.R. Low-flow analysis with a conditional Weibull tail model. Water Resources Research. 32:(6):1996;1749-1760
5. Durrans S.R., Ouarda T.B.M.J., Rasmussen P.F., Bobee B. Treatment of zeroes in tail modelling of low flows. Journal of Hydrologic Engineering. 1999:1999;19-27
6. Gleit A. Estimation for small normal data sets with detection limits. Environmental Science and Technology. 19:1985;1201-1206
7. Haas C.N., Scheff P.A. Estimation of averages in truncated samples. Environmental Science and Technology. 24:1990;912-919
8. McBean E.A., Rovers F.A. Statistical procedures for analysis of environmental monitoring data and risk assessment. Prentice Hall PTR Environment Management and Engineering Series. vol. 3:1998
9. US EPA. Statistical analysis of ground-water monitoring data at RCRA facilities: interim final guidance. 1989;Office of Solid Waste, US Environmental Protection Agency, Washington, DC
10. Zhang Z., Panu U.S., Lennox W.C. Assessment of the Effect of Percent Non-Detects on Estimation Bias for Censored Distributions in Environmental Data. Civil Engineering Technical Report. 2001;Department of Civil Engineering, Lakehead University, Thunder Bay, Ontario, Canada