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On a Sufficient Condition and a Necessary Condition for L 1 Estimation
Author(s) -
Sposito V. A.,
Smith W. C.
Publication year - 1976
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346684
Subject(s) - estimation , computer science , mathematics , economics , management
Summary Published results by Appa and Smith (1973) establish necessary conditions for fitting a linear model to a set of points via the criterion of least sum of absolute deviations (called the L 1 criterion). This note identifies a sufficient condition, and a necessary condition when the number of observations is odd, that can be utilized in combination with the necessary conditions of Appa and Smith to identify an optimal plane under L 1 from a finite set of planes.