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Stats, Volume 4, Issue 2

June 2021 - 16 articles

Cover Story: In this paper, we propose a new clustering method inspired by mode-clustering that not only finds clusters but also assigns each cluster with an attribute label. Clusters obtained from our method show the connectivity of the underlying distribution. Excluding the regions around the mode, the connectivity refers to the regions with relatively high density compared to other regions. We improve the usual mode-clustering method by (1) adding additional clusters that can further partition the entire sample space, and (2) assigning an attribute label to each cluster. We also design a local two-sample test based on the clustering result that has more power than a conventional method. We apply our method to the Astronomy and GvHD data for illustration. Finally, we derive both statistical and computational guarantees of the proposed method. View this paper
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Articles (16)

  • Article
  • Open Access
4 Citations
3,120 Views
21 Pages

10 June 2021

Without randomization of treatments, valid inference of treatment effects from observational studies requires controlling for all confounders because the treated subjects generally differ systematically from the control subjects. Confounding control...

  • Article
  • Open Access
1 Citations
2,787 Views
20 Pages

9 June 2021

We predict the finite population proportion of a small area when individual-level data are available from a survey and more extensive household-level (not individual-level) data (covariates but not responses) are available from a census. The census a...

  • Article
  • Open Access
4 Citations
4,316 Views
18 Pages

1 June 2021

In this work, we deal with a robust fitting of a wrapped normal model to multivariate circular data. Robust estimation is supposed to mitigate the adverse effects of outliers on inference. Furthermore, the use of a proper robust method leads to the d...

  • Article
  • Open Access
6 Citations
4,197 Views
14 Pages

Smart Visualization of Mixed Data

  • Aurea Grané,
  • Giancarlo Manzi and
  • Silvia Salini

1 June 2021

In this work, we propose a new protocol that integrates robust classification and visualization techniques to analyze mixed data. This protocol is based on the combination of the Forward Search Distance-Based (FS-DB) algorithm (Grané, Salini, and Ver...

  • Article
  • Open Access
30 Citations
11,350 Views
35 Pages

28 May 2021

Benford’s Law predicts that the first significant digit on the leftmost side of numbers in real-life data is distributed between all possible 1 to 9 digits approximately as in LOG(1 + 1/digit), so that low digits occur much more frequently than high...

  • Article
  • Open Access
1 Citations
2,791 Views
19 Pages

Analysis of ‘Pre-Fit’ Datasets of gLAB by Robust Statistical Techniques

  • Maria Teresa Alonso,
  • Carlo Ferigato,
  • Deimos Ibanez Segura,
  • Domenico Perrotta,
  • Adria Rovira-Garcia and
  • Emmanuele Sordini

24 May 2021

The GNSS LABoratory tool (gLAB) is an interactive educational suite of applications for processing data from the Global Navigation Satellite System (GNSS). gLAB is composed of several data analysis modules that compute the solution of the problem of...

  • Article
  • Open Access
6 Citations
2,338 Views
15 Pages

21 May 2021

In this article, we implement a flexible Gibbs sampler to make inferences for two-parameter Birnbaum–Saunders (BS) distribution in the presence of right-censored data. The Gibbs sampler is applied on the fiducial distributions of the BS parameters de...

  • Article
  • Open Access
4 Citations
2,293 Views
26 Pages

18 May 2021

This paper presents an unsupervised feature selection method for multi-dimensional histogram-valued data. We define a multi-role measure, called the compactness, based on the concept size of given objects and/or clusters described using a fixed numbe...

  • Article
  • Open Access
4 Citations
2,815 Views
11 Pages

3 May 2021

This paper improves the sensitivity of the Gρ family of weighted log-rank tests for the accelerated failure time model, accommodating realistic alternatives in survival analysis with censored data, such as heavy censoring and crossing hazards. The pr...

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Stats - ISSN 2571-905X