Philip T. Labo

collaborators

3 papers

math.ST2025

Rank Distributions for Independent Normals with a Single Outlier

Philip T. Labo

Thurstone's latent-normal model, introduced a century ago to describe human preferences in psychometrics (1927), remains a cornerstone for modeling random rankings. Yet when the un…

math.ST2024

The Asymptotics of Wide Remedians

Philip T. Labo

The remedian uses a $k \times b$ matrix to approximate the median of $n \leq b^{k}$ streaming input values by recursively replacing buffers of $b$ values with their medians, thereby…

math.ST2024

Using Exponential Histograms to Approximate the Quantiles of Heavy- and Light-Tailed Data

Philip T. Labo

Exponential histograms, with bins of the form ${(I ¨ ^{k - 1}, I ¨ ^{k}]}_{k \in Z}$ , for $I ¨ > 1$ , straightforwardly summarize the quantiles of streaming d…