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Stats, Volume 4, Issue 3

September 2021 - 13 articles

Cover Story: High-dimensional classification studies have become widespread across various domains. In this paper, we propose a robust and sparse estimator for logistic regression models that simultaneously tackles the presence of outliers and/or irrelevant features. We rely on L₀-constraints and mixed-integer conic programming techniques to solve the underlying double combinatorial problem in a framework that allows one to pursue optimality guarantees. Our proposal is used to investigate the main drivers of honeybee (Apis mellifera) loss in Pennsylvania through annual winter loss survey data, where it produces a more interpretable classification model and provides evidence for several outlying observations. In addition, numerical simulations show that our approach outperforms other methods across most performance measures in the considered settings. View this paper

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Article

1 Citations

2,489 Views

7 Pages

First Digit Oscillations

Don Lemons,
Nathan Lemons and
William Peter

Stats2021, 4(3), 595-601;https://doi.org/10.3390/stats4030035

5 July 2021

The frequency of the first digits of numbers drawn from an exponential probability density oscillate around the Benford frequencies. Analysis, simulations and empirical evidence show that datasets must have at least 10,000 entries for these oscillati...

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Article

3 Citations

2,964 Views

17 Pages

Base Dependence of Benford Random Variables

Frank Benford

Stats2021, 4(3), 578-594;https://doi.org/10.3390/stats4030034

2 July 2021

A random variable X that is base b Benford will not in general be base c Benford when c≠b. This paper builds on two of my earlier papers and is an attempt to cast some light on the issue of base dependence. Following some introductory material, the “...

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Article

1 Citations

2,809 Views

28 Pages

A Constrained Generalized Functional Linear Model for Multi-Loci Genetic Mapping

Jiayu Huang,
Jie Yang,
Zhangrong Gu,
Wei Zhu and
Song Wu

Stats2021, 4(3), 550-577;https://doi.org/10.3390/stats4030033

25 June 2021

In genome-wide association studies (GWAS), efficient incorporation of linkage disequilibria (LD) among densely typed genetic variants into association analysis is a critical yet challenging problem. Functional linear models (FLM), which impose a smoo...

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