Least absolute deviations
STATISTICAL OPTIMALITY CRITERION
Least absolute deviation; Minimum absolute deviation; Minimum absolute deviations; Least-absolute-deviations regression; Sum of absolute deviations; Least absolute errors; Least absolute value; Least absolute residuals; Least absolute values; LAD regression
Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical optimality criterion and a statistical optimization technique based minimizing the sum of absolute deviations (sum of absolute residuals or sum of absolute errors) or the L1 norm of such values. It is analogous to the least squares technique, except that it is based on absolute values instead of squared values.