Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis

Moreno-Arenas, Germán; Martínez-Flórez, Guillermo; Barrera-Causil, Carlos

doi:10.15446/rce.v39n1.55145

Cited by 7 publications

(5 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We now propose an extension of the SHN case introduced by Rieck and Nederman (1991) [3] to a general class of distributions. Then, taking h(y) = b 2 y and g(y) = b y φ(b y ) in equation (7), where b y and b y are defined as in (1), the extended class of SHN distribution is defined through the pdf given by…”

Section: Extended Sinh-normal Distributionmentioning

confidence: 99%

“…Asymmetric extensions of the SHN model have been considered, for instance, by Leiva et al (2010) ([4]) and Lemonte et al (2011) ([5]), who studied the skewed SHN model, as well as by Martínez-Flórez et al (2017) [6], who investigated the power SHN model, and Moreno-Arenas et al (2016) [7], who presented the Proportional Hazard BS model (PHBS).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Extended Generalized Sinh-Normal Distribution

2021

View full text Add to dashboard Cite

Positively skewed data sets are common in different areas, and data sets such as material fatigue, reaction time, neuronal reaction time, agricultural engineering, and spatial data, among others, need to be fitted according to their features and maintain a good quality of fit. Skewness and bimodality are two of the features that data sets like this could present simultaneously. So, flexible statistical models should be proposed in this sense. In this paper, a general extended class of the sinh-normal distribution is presented. Additionally, the asymmetric distribution family is extended, and as a natural extension of this model, the extended Birnbaum–Saunders distribution is studied as well. The proposed model presents a better goodness of fit compared to the other studied models.

show abstract

Section: Extended Sinh-normal Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extended Generalized Sinh-Normal Distribution

2021

View full text Add to dashboard Cite

show abstract

“…Also, the proportional hazard models have attracted the attention of researchers. Martinez-Florez et al [10] studied the properties and inference for the proportional hazard model, Aboukhamseen et al [11] also proposed and studied the proportional hazard inverse Weibull distribution and Moreno-Arenas et al [12] presented a paper on proportional Birnbaum-Saunders distribution.…”

Section: Introductionmentioning

confidence: 99%

The Proportional Hazard Generalized Power Weibull Distribution: Properties, Applications and Regression Model

Atiah¹,

Nasiru²,

Katara³

2022

AJPAS

View full text Add to dashboard Cite

We introduce the proportional hazard generalized power Weibull (PHGPW) model in which hazard rate function can assume increasing, decreasing, unimodal or (upside bathtub) and constant. Some of its mathematical properties are studied including the power series for the quantile function. Monte Carlo simulation was performed to determine the finite sample behaviour of the maximum likelihood estimates of the parameters. The flexibility of the PHGPW distribution compared with some other existing distributions is proved empirically by means of two sets of real data related to remission times of bladder cancer patients and strike duration of manufacturing company. A new regression model was defined based on the PHGPW distribution. The performance of the regression model is proved empirically using real data set.

show abstract

“…Vilca-Labra and Leiva-Sanchez [15] investigated asymmetric extensions for the Birnbaum-Saunders model, with the normal distribution replaced by the elliptical asymmetric class of distributions [16]. Furthermore, Castillo et al [17] considered the asymmetric epsilon-Birnbaum-Saunders model, Gómez et al [18] considered an extension based on the slash-elliptical family of distributions, Martínez-Flórez et al [19] studied the extension of this model to the case of exponentiated or alpha-power distributions, and Moreno-Arenas et al [20] studied the extension to the case of hazard proportional family.…”

Section: Introductionmentioning

confidence: 99%

The Skewed-Elliptical Log-Linear Birnbaum–Saunders Alpha-Power Model

2021

View full text Add to dashboard Cite

In this paper, the skew-elliptical sinh-alpha-power distribution is developed as a natural follow-up to the skew-elliptical log-linear Birnbaum–Saunders alpha-power distribution, previously studied in the literature. Special cases include the ordinary log-linear Birnbaum–Saunders and skewed log-linear Birnbaum–Saunders distributions. As shown, it is able to surpass the ordinary sinh-normal models when fitting data sets with high (above the expected with the sinh-normal) degrees of asymmetry. Maximum likelihood estimation is developed with the inverse of the observed information matrix used for standard error estimation. Large sample properties of the maximum likelihood estimators such as consistency and asymptotic normality are established. An application is reported for the data set previously analyzed in the literature, where performance of the new distribution is shown when compared with other proposed alternative models.

show abstract

Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis

Cited by 7 publications

References 19 publications

Extended Generalized Sinh-Normal Distribution

Extended Generalized Sinh-Normal Distribution

The Proportional Hazard Generalized Power Weibull Distribution: Properties, Applications and Regression Model

The Skewed-Elliptical Log-Linear Birnbaum–Saunders Alpha-Power Model

Contact Info

Product

Resources

About