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Stats, Volume 8, Issue 3

September 2025 - 35 articles

Cover Story: A Markov chain Monte Carlo (MCMC)-based Bayesian methodology is proposed and applied to the phase-type aging model (PTAM), with a view to improving parameter estimability. The proposed method provides two methodological extensions based on an existing MCMC inference method. First, we propose a two-level MCMC sampling scheme that is applicable to scenarios where the posterior distributions do not take simple forms after data augmentation. Secondly, an existing data augmentation technique for Bayesian inference on continuous phase-type distributions is further developed in order to incorporate left-truncated data. The proposed methodology improves parameter estimability via sound prior distributions and may also be utilized as a stand-alone statistical model-fitting technique. View this paper
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Articles (35)

  • Article
  • Open Access
373 Views
9 Pages

18 September 2025

The augmented logistic regression proposed by Diaz-Quijano directly provides risk ratios with an augmented dataset with the pseudo-observations. However, the standard errors of regression coefficients cannot be accurately estimated using either the o...

  • Article
  • Open Access
439 Views
15 Pages

A Mixture Model for Survival Data with Both Latent and Non-Latent Cure Fractions

  • Eduardo Yoshio Nakano,
  • Frederico Machado Almeida and
  • Marcílio Ramos Pereira Cardial

13 September 2025

One of the most popular cure rate models in the literature is the Berkson and Gage mixture model. A characteristic of this model is that it considers the cure to be a latent event. However, there are situations in which the cure is well known, and th...

  • Article
  • Open Access
560 Views
27 Pages

12 September 2025

This paper introduces the Unit-Modified Weibull (UMW) distribution, a novel probability model defined on the unit interval (0, 1). We derive its key statistical properties and estimate its parameters using the maximum likelihood method. The perf...

  • Review
  • Open Access
649 Views
20 Pages

Statistical Tools Application for Literature Review: A Case on Maintenance Management Decision-Making in the Steel Industry

  • Nuno Miguel de Matos Torre,
  • Valerio Antonio Pamplona Salomon and
  • Luis Ernesto Quezada

12 September 2025

Literature review plays a crucial role in research. This paper explores bibliometrics, which utilize statistical tools to evaluate the researcher’s scientific contributions. Its intent is to map frequently cited articles and authors, identify t...

  • Article
  • Open Access
509 Views
23 Pages

Bootstrap Methods for Correcting Bias in WLS Estimators of the First-Order Bifurcating Autoregressive Model

  • Tamer Elbayoumi,
  • Mutiyat Usman,
  • Sayed Mostafa,
  • Mohammad Zayed and
  • Ahmad Aboalkhair

5 September 2025

In this study, we examine the presence of bias in weighted least squares (WLS) estimation within the context of first-order bifurcating autoregressive (BAR(1)) models. These models are widely used in the analysis of binary tree-structured data, parti...

  • Article
  • Open Access
386 Views
18 Pages

27 August 2025

A standard approach for assessing the performance of partition models is to create synthetic datasets with a prespecified clustering structure and assess how well the model reveals this structure. A common format involves subjects being assigned to d...

  • Article
  • Open Access
804 Views
22 Pages

27 August 2025

The phase-type aging model (PTAM) belongs to a class of Coxian-type Markovian models that can provide a quantitative description of well-known aging characteristics that are part of a genetically determined, progressive, and irreversible process. Due...

  • Article
  • Open Access
485 Views
16 Pages

25 August 2025

This paper describes a region-oriented method of pattern classification based on the Cartesian system model (CSM), a mathematical model that allows manipulating mixed feature-type symbolic data. We use the supervised hierarchical conceptual clusterin...

  • Communication
  • Open Access
548 Views
20 Pages

24 August 2025

The aim of this research is to provide a 25-year multi-model analysis of gender dynamics in economics articles that include at least one Romanian-affiliated author, published in Web of Science journals between 2000 and 2025 (2025 records current as o...

  • Article
  • Open Access
764 Views
16 Pages

18 August 2025

Change-point models are frequently considered when modeling phenomena where a regime shift occurs at an unknown time. In aging research, these models are commonly adopted to estimate of the onset of cognitive decline. Yet these models present several...

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Stats - ISSN 2571-905XCreative Common CC BY license