| Abstract: | This paper compares the bias and variance of three procedures that can be used with log linear regression models: the traditional rating curve estimator, a modified rating curve method, and a minimum variance unbiased estimator (MVUE). Analytical derivations of the bias and efficiency of all three estimators are presented. It is shown that for many conditions the traditional and the modified estimator can provide satisfactory estimates. However, other conditions exist where they have substantial bias and a large mean square error. These conditions commonly occur when sample sizes are small, or when loads are estimated during high-flow conditions. The MVUE, however, is unbiased and always performs nearly as well or better than the rating curve estimator or the modified estimator provided that the hypothesis of the log linear model is correct. Since an efficient unbiased estimator is available, there seems to be no reason to employ biased estimators. -from Authors |
| Genre: | Article |
| ProdID: | 70016408 |
| Citation Author: | Cohn, T. A.; Delong, L. L.; Gilroy, E. J.; Hirsch, R. M.; Wells, D. K. |
| Citation Contributing Office: | |
| Citation Datum: | |
| Citation Day: | |
| Citation Edition: | |
| Citation Editor: | |
| Citation End Page: | 942 |
| Citation Issue: | 5 |
| Citation Keywords: | |
| Citation Language: | English |
| Citation Larger Work Title: | Water Resources Research |
| Citation LatN: | |
| Citation LatS: | |
| Citation LonE: | |
| Citation LonW: | |
| Citation Month: | |
| Citation No Pagination: | |
| Citation Number Of Pages: | 6 |
| Citation Online Only Flag: | |
| Citation Phsyical Description: | |
| Citation Projection: | |
| Citation Public Comments: | |
| Citation Publisher: | |
| Citation Series: | |
| Citation Series Code: | |
| Citation Series Number: | |
| Citation Search Results Text: | Estimating constituent loads; 1989; Article; Journal; Water Resources Research; Cohn, T. A.; Delong, L. L.; Gilroy, E. J.; Hirsch, R. M.; Wells, D. K. |
| Citation Start Page: | 937 |
| Citation Volume: | 25 |
| Citation Year: | 1989 |
| Type: | citation/reference |
| Text: | Estimating constituent loads; 1989; Article; Journal; Water Resources Research; Cohn, T. A.; Delong, L. L.; Gilroy, E. J.; Hirsch, R. M.; Wells, D. K. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Sun, 1 Jan 1989 00:00 -0600 |
| Publisher: | |
