Guidedmediaan

Guidedmediaan is a statistical concept described as an estimator for central tendency that extends the traditional median by incorporating a guiding function derived from prior information about the distribution. The aim is to retain the robustness properties of the median while leveraging additional knowledge to improve efficiency in estimation, particularly for samples affected by bias or heterogeneity.

The term appears to be a portmanteau of guided and mediaan, with mediaan being the Dutch word for median. It is referenced mainly in theoretical discussions and some Dutch- and Scandinavian-language literature as a concept rather than a standard, widely adopted method in mainstream statistics. As such, implementations and exact formulations vary across sources.

In general terms, guidedmediaan involves selecting an initial median estimate and then using a guide function to adjust weighting or ordering decisions in the estimation process. This guide, which may reflect prior density information, domain knowledge, or a preliminary exploratory analysis, influences how data points contribute to the final median estimate. The approach is typically iterative: the guide informs weights or selection criteria, a revised estimate is produced, and the guide may be updated accordingly until convergence.

Applications of guidedmediaan are discussed in contexts where prior information about the distribution is available and where robustness to outliers remains important. It is considered advantageous when the guide is informative but potentially risky if the guidance is misleading, in which case performance can degrade relative to the standard median or other robust estimators.

See also: median, robust statistics, weighted median, guiding function.