Is this the least squares estimate

By Eugene Demidenko. 2000

60 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/dfedda0ad3009b1cecc300314e80873e13767d01

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Numerical Analysis

Citations in the corpus

Model smoothing strategies to remove microscale discontinuities and spurious secondary optima in objective functions in hydrological calibration (2007, methodology): “[63] The deviation of least squares functions from elliptical shape is proportional to the model nonlinearity [Demidenko, 2000].”
Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties (2013, methodology): “The following examples, originated from (Demidenko, 2000), illustrate the difficulties.”
Ancient numerical daemons of conceptual hydrological modeling: 2. Impact of time stepping schemes on model analysis and prediction (2010, background): “…spurious multimodality but cannot possibly eliminate genuine multimodality that can arise when the governing model equations are strongly nonlinear with respect to their parameters, especially if the calibration data are also highly inaccurate [e.g., Demidenko, 2000; Kavetski et al., 2006a].”
Modelling stage—discharge relationships affected by hysteresis using the Jones formula and nonlinear regression (2006, unknown): “Hence, general results found in central studies on the topics of existence and uniqueness in regression estimates (e.g. Mäkeläinen et al., 1981; Demidenko, 2000; Orme & Ruud, 2002) do not apply to equation (22).”
Least-squares fitting Gompertz curve (2004, background): “, Demidenko in [4,3] by using the concept of the existence-level gives some conditions on the data under which the LS estimate exists.”