A unified empirical likelihood approach for three Cox-type marginal models dealing with multiple event times, recurrent event times and clustered event times is proposed. The resulting log-empirical likelihood ratio test statistics are shown to possess chi-squared limiting distributions. When...

This article describes how under-five mortality rate is one of the critical indicators of development of a country. This rate tells of children's access to basic health interventions such as vaccinations, medical treatment and adequate nutrition. This article proposes to identify the...

A mixture model incorporating long-term survivors has been adopted in the field of biostatistics where some individuals may never experience the failure event under study. The surviving fractions may be considered as cured. In most applications, the survival times are assumed to be independent....

The aim of this paper is to derive methodology for designing 'time to event' type experiments. In comparison to estimation, design aspects of 'time to event' experiments have received relatively little attention. We show that gains in efficiency of estimators of parameters and use of...

The Cox proportional hazards model has become the most widely used procedure in survivalanalysis. The theoretical basis of the original model has been developed in various exten-sions. In the recent years, vital research has been undertaken involving the incorporation ofrandom effects to...

Mortality modelling for the purposes of demographic forecasting and actuarial pricing is generally done at an aggregate level using national data. Modelling at this level fails to capture the variation in mortality within country and potentially leads to a mis-specification of mortality...

A generalisation of Gompertz' distribution is proposed, and it is shown that continuous heterogeneous mortality models with Gamma distributed frailty have lifetime random variables distributed as the difference of two such generalised Gompertz random variables. With this result, limitations of...