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Stats, Volume 4, Issue 2

2021 June - 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
3,226 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
2,909 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
6 Citations
4,626 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
4,401 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
33 Citations
11,963 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
2,896 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
7 Citations
2,455 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
2,364 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
2,963 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...

  • Article
  • Open Access
5 Citations
3,488 Views
21 Pages

18 April 2021

The forward search (FS) is a general method of robust data fitting that moves smoothly from very robust to maximum likelihood estimation. The regression procedures are included in the MATLAB toolbox FSDA. The work on a SAS version of the FS originate...

  • Article
  • Open Access
6 Citations
5,439 Views
19 Pages

A Flexible Multivariate Distribution for Correlated Count Data

  • Kimberly F. Sellers,
  • Tong Li,
  • Yixuan Wu and
  • Narayanaswamy Balakrishnan

15 April 2021

Multivariate count data are often modeled via a multivariate Poisson distribution, but it contains an underlying, constraining assumption of data equi-dispersion (where its variance equals its mean). Real data are oftentimes over-dispersed and, as su...

  • Article
  • Open Access
1 Citations
2,935 Views
17 Pages

Optimal Sampling Regimes for Estimating Population Dynamics

  • Rebecca E. Atanga,
  • Edward L. Boone,
  • Ryad A. Ghanam and
  • Ben Stewart-Koster

7 April 2021

Ecologists are interested in modeling the population growth of species in various ecosystems. Specifically, logistic growth arises as a common model for population growth. Studying such growth can assist environmental managers in making better decisi...

  • Article
  • Open Access
2 Citations
3,087 Views
22 Pages

Inverted Weibull Regression Models and Their Applications

  • Sarah R. Al-Dawsari and
  • Khalaf S. Sultan

1 April 2021

In this paper, we propose the classical and Bayesian regression models for use in conjunction with the inverted Weibull (IW) distribution; there are the inverted Weibull Regression model (IW-Reg) and inverted Weibull Bayesian regression model (IW-BRe...

  • Article
  • Open Access
6 Citations
3,177 Views
18 Pages

Measuring Bayesian Robustness Using Rényi Divergence

  • Luai Al-Labadi,
  • Forough Fazeli Asl and
  • Ce Wang

29 March 2021

This paper deals with measuring the Bayesian robustness of classes of contaminated priors. Two different classes of priors in the neighborhood of the elicited prior are considered. The first one is the well-known ϵ-contaminated class, while the secon...

  • Article
  • Open Access
3,203 Views
23 Pages

Decisions in Risk and Reliability: An Explanatory Perspective

  • Antonio Pievatolo,
  • Fabrizio Ruggeri,
  • Refik Soyer and
  • Simon Wilson

26 March 2021

The paper discusses issues that surround decisions in risk and reliability, with a major emphasis on quantitative methods. We start with a brief history of quantitative methods in risk and reliability from the 17th century onwards. Then, we look at t...

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Stats - ISSN 2571-905X