Nonparametric Bootstrap Confidence Intervals For The Log-Pearson Type III Distribution
Price
Free (open access)
Transaction
Volume
6
Pages
8
Published
1994
Size
853 kb
Paper DOI
10.2495/ENV940392
Copyright
WIT Press
Author(s)
V. Fortin & B. Bobee
Abstract
Estimating the frequency of floods is an important problem in hydrology, commonly solved by fitting a probability distribution to observed maximum annual floods. An essential step which must follow the estimation of a quantile is a quantification of its precision. First-order parametric approximations are commonly used to obtain confidence intervals (CIs) for flood flow quantiles. Nonparametric computer-intensive Bootstrap CIs are compared with parametric CIs for simulated samples, drawn from a log-Pearson type III (LP) distribution. Using this methodology, biased in favour of parametric CIs since the parent distribution is known, Bootstrap CIs are shown to be more accurate for small to moderate confidence level (^80%), when parameters are estimated by the indirect method of moment (WRC). However, the actual level of Boot
Keywords