Stochastic EM algorithm for generalized exponential cure rate model and an empirical study

K Davies, S Pal, JA Siddiqua - Journal of Applied Statistics, 2021 - Taylor & Francis
In this paper, we consider two well-known parametric long-term survival models, namely, the
Bernoulli cure rate model and the promotion time (or Poisson) cure rate model. Assuming …

A simplified stochastic EM algorithm for cure rate model with negative binomial competing risks: an application to breast cancer data

S Pal - Statistics in Medicine, 2021 - Wiley Online Library
In this article, a long‐term survival model under competing risks is considered. The
unobserved number of competing risks is assumed to follow a negative binomial distribution …

A new cure rate model with flexible competing causes with applications to melanoma and transplantation data

J Leão, M Bourguignon, DI Gallardo… - Statistics in …, 2020 - Wiley Online Library
In this article, we introduce a long‐term survival model in which the number of competing
causes of the event of interest follows the zero‐modified geometric (ZMG) distribution. Such …

A compound class of the inverse Gamma and power series distributions

PA Rivera, E Calderín-Ojeda, DI Gallardo, HW Gómez - Symmetry, 2021 - mdpi.com
In this paper, the inverse gamma power series (IGPS) class of distributions asymmetric is
introduced. This family is obtained by compounding inverse gamma and power series …

Cure rate models for heterogeneous competing causes

M Brandão, J Leão, DI Gallardo… - Statistical Methods in …, 2023 - journals.sagepub.com
Cure rate models have been widely studied to analyze time-to-event data with a cured
fraction of patients. In this type of model, the number of concurrent causes is assumed to be …

A flexible cure rate model based on the polylogarithm distribution

DI Gallardo, YM Gómez, M de Castro - Journal of Statistical …, 2018 - Taylor & Francis
Models for dealing with survival data in the presence of a cured fraction of individuals have
attracted the attention of many researchers and practitioners in recent years. In this paper …

On the use of the modified power series family of distributions in a cure rate model context

DI Gallardo, YM Gomez, HW Gómez… - Statistical Methods in …, 2020 - journals.sagepub.com
In this paper, we propose a generalization of the power series cure rate model for the
number of competing causes related to the occurrence of the event of interest. The model …

An alternative promotion time cure model with overdispersed number of competing causes: An application to melanoma data

DI Gallardo, M de Castro, HW Gómez - Mathematics, 2021 - mdpi.com
A cure rate model under the competing risks setup is proposed. For the number of
competing causes related to the occurrence of the event of interest, we posit the one …

A Compound Class of Inverse-Power Muth and Power Series Distributions

L Barrios-Blanco, DI Gallardo, HJ Gómez… - Axioms, 2023 - mdpi.com
This paper introduces the inverse-power Muth power series model, which is a composition
of the inverse-power Muth and the class of power series distributions. The use of the Bell …

A New Mixture Model With Cure Rate Applied to Breast Cancer Data

DI Gallardo, M Brandão, J Leão… - Biometrical …, 2024 - Wiley Online Library
We introduce a new modelling for long‐term survival models, assuming that the number of
competing causes follows a mixture of Poisson and the Birnbaum‐Saunders distribution. In …