Sieders, Arthur; Dzhaparidze, Kacha A large deviation result for parameter estimators and its application to nonlinear regression analysis. (English) Zbl 0661.62021 Ann. Stat. 15, 1031-1049 (1987). The authors generalize the work of I. A. Ibragimov and R. Z. Khas’minskij, Statistical estimation: Asymptotic theory. (1981; Zbl 0467.62026), and prove a law of large deviation (LLD) for M-estimators. They also apply this LLD to the problem of parametric nonlinear regression when the regression function is continuous and the errors are independent. Reviewer: R.A.Khan Cited in 3 ReviewsCited in 18 Documents MSC: 62F12 Asymptotic properties of parametric estimators 60F10 Large deviations 62J02 General nonlinear regression Keywords:M-estimators Citations:Zbl 0467.62026 × Cite Format Result Cite Review PDF Full Text: DOI