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Stats, Volume 8, Issue 2

2025 June - 24 articles

Cover Story: Automatic differentiation (AD) is a key tool in modern statistical computing, enabling efficient and accurate gradient computation for tasks such as parameter estimation, sensitivity analysis, and simulation-based inference. In this work, we revisit AD from first principles and develop a vectorised formulation based on matrix calculus, tailored to the linear algebra conventions common in statistics. This approach mirrors analytical derivations, supports high-level optimisation techniques, and facilitates seamless integration with statistical modelling. By matching the structure of statistical modelling, our method enhances the applicability and clarity of AD. The days of painstakingly deriving gradients by hand are behind us, and now we can focus on building models, not derivatives. View this paper
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Articles (24)

  • Article
  • Open Access
1,107 Views
14 Pages

16 June 2025

In possibly unbalanced fixed effects in ANOVAs, we examine both parametric and nonparametric tests for main and two-way interaction effects when the levels of each factor may be ordered or unordered. For main effects, we decompose the factor sum of s...

  • Article
  • Open Access
1,580 Views
8 Pages

5 June 2025

An ordered heterogeneity (OH) test is a test for a trend that combines a nondirectional heterogeneity test with the rank-order information specified under the alternative. A modified OH test introduced in 2006 can detect all possible patterns under t...

  • Article
  • Open Access
1 Citations
1,285 Views
21 Pages

5 June 2025

Multivariate normal moments are foundational for statistical methods. The derivation and simplification of these moments are critical for the accuracy of various statistical estimates and analyses. Normal moments are the building blocks of the Hermit...

(This article belongs to the Section Statistical Theory and Methods)
  • Article
  • Open Access
15 Citations
4,399 Views
19 Pages

31 May 2025

Multicollinearity in logistic regression models can result in inflated variances and yield unreliable estimates of parameters. Ridge regression, a regularized estimation technique, is frequently employed to address this issue. This study conducts a c...

  • Article
  • Open Access
3 Citations
3,800 Views
12 Pages

mbX: An R Package for Streamlined Microbiome Analysis

  • Utsav Lamichhane and
  • Jeferson Lourenco

29 May 2025

Here, we introduce the mbX package: an R-based tool designed to streamline 16S rRNA gene microbiome data analysis following taxonomic classification. It automates key post-sequencing steps, including taxonomic data cleaning and visualization, address...

(This article belongs to the Section Data Science, Machine Learning and Artificial Intelligence)
  • Article
  • Open Access
4,355 Views
23 Pages

24 May 2025

Scatter plots are widely recognized as fundamental tools for illustrating the relationship between two numerical variables. Despite this, based on solid theoretical foundations, scatter plots generated from pairs of continuous random variables may no...

  • Article
  • Open Access
1 Citations
2,004 Views
13 Pages

23 May 2025

In questionnaires, respondents sometimes feel uncertain about which category to choose and may respond randomly. Including uncertainty in the modeling of response behavior aims to obtain more accurate estimates of the impact of explanatory variables...

  • Article
  • Open Access
3,523 Views
21 Pages

20 May 2025

The current replication crisis relating to the non-replicability and the untrustworthiness of published empirical evidence is often viewed through the lens of the Positive Predictive Value (PPV) in the context of the Medical Diagnostic Screening (MDS...

  • Article
  • Open Access
2,477 Views
27 Pages

19 May 2025

Automatic differentiation (AD) is a general method for computing exact derivatives in complex sensitivity analyses and optimisation tasks, particularly when closed-form solutions are unavailable and traditional analytical or numerical methods fall sh...

(This article belongs to the Section Data Science, Machine Learning and Artificial Intelligence)
  • Article
  • Open Access
1,284 Views
23 Pages

16 May 2025

Developing accurate predictive models in statistical analysis presents significant challenges, especially in domains with limited routine assessments. This study aims to advance the theoretical underpinnings of longitudinal logistic and zero-inflated...

  • Article
  • Open Access
3,853 Views
20 Pages

Determinants of Blank and Null Votes in the Brazilian Presidential Elections

  • Renata Rojas Guerra,
  • Kerolene De Souza Moraes,
  • Fernando De Jesus Moreira Junior,
  • Fernando A. Peña-Ramírez and
  • Ryan Novaes Pereira

13 May 2025

This study analyzes the factors influencing the proportions of blank and null votes in Brazilian municipalities during the 2018 presidential elections. The behavior of the variable of interest is examined using unit regression models within the Gener...

(This article belongs to the Section Statistical Theory and Methods)
  • Article
  • Open Access
3 Citations
2,407 Views
13 Pages

13 May 2025

Issues related to the duration of university studies have attracted the interest of many researchers from different scientific fields, as far back as the middle of the 20th century. In this study, a Survival Analysis methodology and, more specificall...

(This article belongs to the Topic Interfacing Statistics, Machine Learning and Data Science from a Probabilistic Modelling Viewpoint)
  • Communication
  • Open Access
3,166 Views
39 Pages

9 May 2025

Identifying regions with similar meteorological features is of both socioeconomic and ecological importance. Towards that direction, useful information can be drawn from meteorological stations, and spread in a broader area. In this work, a time seri...

  • Article
  • Open Access
1 Citations
1,972 Views
18 Pages

Estimation of Weighted Extropy Under the α-Mixing Dependence Condition

  • Radhakumari Maya,
  • Archana Krishnakumar,
  • Muhammed Rasheed Irshad and
  • Christophe Chesneau

1 May 2025

Introduced as a complementary concept to Shannon entropy, extropy provides an alternative perspective for measuring uncertainty. While useful in areas such as reliability theory and scoring rules, extropy in its original form treats all outcomes equa...

  • Article
  • Open Access
1,788 Views
17 Pages

A Smoothed Three-Part Redescending M-Estimator

  • Alistair J. Martin and
  • Brenton R. Clarke

30 April 2025

A smoothed M-estimator is derived from Hampel’s three-part redescending estimator for location and scale. The estimator is shown to be weakly continuous and Fréchet differentiable in the neighbourhood of the normal distribution. Asymptot...

(This article belongs to the Section Statistical Theory and Methods)
  • Article
  • Open Access
1 Citations
3,552 Views
16 Pages

28 April 2025

First-hitting time threshold regression (TR) is well-known for analyzing event time data without the proportional hazards assumption. To date, most applications and software are developed for cross-sectional data. In this paper, using the Markov prop...

  • Article
  • Open Access
2,997 Views
34 Pages

Adaptive Clinical Trials and Sample Size Determination in the Presence of Measurement Error and Heterogeneity

  • Hassan Farooq,
  • Sajid Ali,
  • Ismail Shah,
  • Ibrahim A. Nafisah and
  • Mohammed M. A. Almazah

25 April 2025

Adaptive clinical trials offer a flexible approach for refining sample sizes during ongoing research to enhance their efficiency. This study delves into improving sample size recalculation through resampling techniques, employing measurement error an...

  • Communication
  • Open Access
4 Citations
1,841 Views
25 Pages

An Integrated Hybrid-Stochastic Framework for Agro-Meteorological Prediction Under Environmental Uncertainty

  • Mohsen Pourmohammad Shahvar,
  • Davide Valenti,
  • Alfonso Collura,
  • Salvatore Micciche,
  • Vittorio Farina and
  • Giovanni Marsella

25 April 2025

This study presents a comprehensive framework for agro-meteorological prediction, combining stochastic modeling, machine learning techniques, and environmental feature engineering to address challenges in yield prediction and wind behavior modeling....

(This article belongs to the Section Data Science, Machine Learning and Artificial Intelligence)
  • Article
  • Open Access
1,374 Views
29 Pages

24 April 2025

Fixed item parameter calibration (FIPC) is commonly used to compare groups or countries using an item response theory model with a common set of fixed item parameters. However, FIPC has been shown to produce biased estimates of group means and standa...

  • Feature Paper
  • Article
  • Open Access
1,508 Views
34 Pages

23 April 2025

In linear regression analysis, the independence assumption is crucial and the ordinary least square (OLS) estimator generally regarded as the Best Linear Unbiased Estimator (BLUE) is applied. However, multicollinearity can complicate the estimation o...

(This article belongs to the Section Statistical Theory and Methods)
  • Article
  • Open Access
1 Citations
1,207 Views
25 Pages

19 April 2025

Those accustomed to acting within ‘normal’ bureaucracies will have experienced the degradation, distortion, and stunting imposed by inordinate levels of hierarchical ‘decision structure’, particularly under the critical time c...

  • Article
  • Open Access
2 Citations
1,808 Views
38 Pages

4 April 2025

We develop a novel family of distributions named the Marshall–Olkin type II exponentiated half-logistic–odd Burr X-G distribution. Several mathematical properties including linear representation of the density function, Rényi entro...

  • Article
  • Open Access
1 Citations
1,108 Views
19 Pages

21 March 2025

The non-parametric version of Amari’s dually affine Information Geometry provides a practical calculus to perform computations of interest in statistical machine learning. The method uses the notion of a statistical bundle, a mathematical struc...

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Stats - ISSN 2571-905X