Examinando por Autor "Bolfarine, Heleno"

Mostrando 1 - 3 de 3
  • Miniatura
    Ítem
    Flexible Birnbaum-Saunders distribution
    (MDPI, 2019) Martínez-Flórez, Guillermo; Barranco-Chamorro, Inmaculada; Bolfarine, Heleno; Gómez, HectorW.
    In this paper, we propose a bimodal extension of the Birnbaum–Saunders model by including an extra parameter. This new model is termed flexible Birnbaum–Saunders (FBS) and includes the ordinary Birnbaum–Saunders (BS) and the skew Birnbaum–Saunders (SBS) model as special cases. Its properties are studied. Parameter estimation is considered via an iterative maximum likelihood approach. Two real applications, of interest in environmental sciences, are included, which reveal that our proposal can perform better than other competing models.
  • Miniatura
    Ítem
    On properties of the bimodal skew-normal distribution and an application
    (MDPI, 2020) Elal-Olivero, David; Olivares-Pacheco, Juan F.; Venegas, Osvaldo; Bolfarine, Heleno; Gómez, Héctor W.
    The main object of this paper is to develop an alternative construction for the bimodal skew-normal distribution. The construction is based upon a study of the mixture of skew-normal distributions. We study some basic properties of this family, its stochastic representations and expressions for its moments. Parameters are estimated using the maximum likelihood estimation method. A simulation study is carried out to observe the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the new distribution with other distributions in the literature using a real data set. The study shows that the proposed approach presents satisfactory results.
  • Miniatura
    Ítem
    Truncated power-normal distribution with application to non-negative measurements
    (MDPI, 2018) Castillo, Nabor O.; Gallardo, Diego I.; Bolfarine, Heleno; Gómez, Héctor W.
    This paper focuses on studying a truncated positive version of the power-normal (PN) modelconsidered in Durrans (1992). The truncation point is considered to be zero so that the resulting model is an extension of the half normal distribution. Some probabilistic properties are studied for the proposed model along with maximum likelihood and moments estimation. The model is fitted to two real datasets and compared with alternative models for positive data. Results indicate good performance of the proposed mode