Birnbaum‐Saunders distribution: A review of models, analysis, and applications

N Balakrishnan, D Kundu - Applied Stochastic Models in …, 2019 - Wiley Online Library
Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the
fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on …

Birnbaum‐Saunders quantile regression and its diagnostics with application to economic data

L Sánchez, V Leiva, M Galea… - … Stochastic Models in …, 2021 - Wiley Online Library
Abstract The Birnbaum‐Saunders (BS) distribution is a model that frequently appears in the
statistical literature and has proved to be very versatile and efficient across a wide range of …

New methods to define heavy-tailed distributions with applications to insurance data

Z Ahmad, E Mahmoudi, GG Hamedani… - Journal of Taibah …, 2020 - Taylor & Francis
Heavy-tailed distributions play an important role in modelling data in actuarial and financial
sciences. In this article, nine new methods are suggested to define new distributions suitable …

Capability indices for Birnbaum–Saunders processes applied to electronic and food industries

V Leiva, C Marchant, H Saulo, M Aslam… - Journal of Applied …, 2014 - Taylor & Francis
Process capability indices (PCIs) are tools widely used by the industries to determine the
quality of their products and the performance of their manufacturing processes. Classic …

Exploring the potential use of the Birnbaum‐Saunders distribution in inventory management

P Wanke, V Leiva - Mathematical Problems in Engineering, 2015 - Wiley Online Library
Choosing the suitable demand distribution during lead‐time is an important issue in
inventory models. Much research has explored the advantage of following a distributional …

Log‐symmetric quantile regression models

H Saulo, A Dasilva, V Leiva, L Sánchez… - Statistica …, 2022 - Wiley Online Library
Regression models based on the log‐symmetric family of distributions are particularly useful
when the response variable is continuous, positive, and asymmetrically distributed. In this …

Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications

MK Hassan, M Aslam - Scientific Reports, 2024 - nature.com
A neutrosophic statistic is a random variable and it has a neutrosophic probability
distribution. So, in this paper, we introduce the new neutrosophic Birnbaum–Saunders …

Generalized Birnbaum–Saunders kernel density estimators and an analysis of financial data

C Marchant, K Bertin, V Leiva, H Saulo - Computational Statistics & Data …, 2013 - Elsevier
The kernel method is a nonparametric procedure used to estimate densities with support in
R. When nonnegative data are modeled, the classical kernel density estimator presents a …

Robust multivariate control charts based on Birnbaum–Saunders distributions

C Marchant, V Leiva, FJA Cysneiros… - Journal of Statistical …, 2018 - Taylor & Francis
Multivariate control charts are powerful and simple visual tools for monitoring the quality of a
process. This multivariate monitoring is carried out by considering simultaneously several …

Birnbaum–Saunders statistical modelling: a new approach

V Leiva, M Santos-Neto, FJA Cysneiros… - Statistical …, 2014 - journals.sagepub.com
Modelling based on the Birnbaum–Saunders distribution has received considerable
attention in recent years. In this article, we introduce a new approach for Birnbaum …