Statistical inference in nonlinear regression under heteroscedasticity
- Authors
- Lim, Changwon; Sen, Pranab K.; Peddada, Shyamal D.
- Issue Date
- Nov-2010
- Publisher
- Springer India
- Keywords
- Asymptotic normality; Dose-response study; Heteroscedasticity; Hill model; M-estimation procedure; Nonlinear regression model; Toxicology; Weighted M-estimator
- Citation
- Sankhya B, v.72, no.2, pp 202 - 218
- Pages
- 17
- Journal Title
- Sankhya B
- Volume
- 72
- Number
- 2
- Start Page
- 202
- End Page
- 218
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/48445
- DOI
- 10.1007/s13571-011-0013-0
- ISSN
- 0976-8386
0976-8394
- Abstract
- Nonlinear regression models are commonly used in toxicology and pharmacology. When fitting nonlinear models for such data, one needs to pay attention to error variance structure in the model and the presence of possible outliers or influential observations. In this paper, an M-estimation based procedure is considered in heteroscedastic nonlinear regression models where the standard deviation is modeled by a nonlinear function. The methodology is illustrated using toxicological data. © 2011, Indian Statistical Institute.
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