Using the $L_2 $-Estimator in $L_1 $-Estimation

DOI10.1137/0713030zbMath0327.65012OpenAlexW2023735113MaRDI QIDQ4092845

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Publication date: 1976

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0713030

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Rate of convergence, degree of approximation (41A25)

Related Items (11)

A Comparison of plotting rules under L1 and L2 estimation of the Weibull scale and shape parameters in situations of small samples with possible censoring and outliers ⋮ Least absolute value and chebychev estimation utilizing least squares results ⋮ Minimax approximation from a least squares solution ⋮ Optimal filtering of linear discrete dynamic systems based on least absolute value approximations ⋮ New algorithm for optimal parameter estimation with linear constraints ⋮ Using the least squares estimator in Chebyshev estimation ⋮ Best subsets regression using LP-norms with 1≤p<∞ ⋮ Useful generalized properties of L₁estimators ⋮ A new LAD curve-fitting algorithm: Slightly overdetermined equation systems in \(L_ 1\) ⋮ A new technique for curve fitting based on minimum absolute deviations ⋮ An \(L_{1}\) estimation algorithm with degeneracy and linear constraints.

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