2015
DOI: 10.1137/130912992
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Mortality Implications of Mortality Plateaus

Abstract: Abstract. This article aims to describe in a unified framework all plateau-generating random effects models in terms of (i) plausible distributions for the hazard (baseline mortality) and the random effect (unobserved heterogeneity, frailty) as well as (ii) the impact of frailty on the baseline hazard. Mortality plateaus result from multiplicative (proportional) and additive hazards, but not from accelerated failure time models. Frailty can have any distribution with regularly-varying-at-0 density and the dist… Show more

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Cited by 29 publications
(38 citation statements)
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“…In fact, later age mortality rates are accelerating faster, because the basal mortality level ("minimum mortality") from which the Gompertz exponential arises has been lowered, thereby delaying, but not reducing senescence at later ages (11)(12)(13). The mortality rate plateau that was once thought to be reached by the age of 90 y has been remapped to ages of 110-114 y (14), and thus does not pertain to the experience of the vast majority of aging humans (12,13).…”
Section: Molecular Aging Morbidity and Mortalitymentioning
confidence: 99%
“…In fact, later age mortality rates are accelerating faster, because the basal mortality level ("minimum mortality") from which the Gompertz exponential arises has been lowered, thereby delaying, but not reducing senescence at later ages (11)(12)(13). The mortality rate plateau that was once thought to be reached by the age of 90 y has been remapped to ages of 110-114 y (14), and thus does not pertain to the experience of the vast majority of aging humans (12,13).…”
Section: Molecular Aging Morbidity and Mortalitymentioning
confidence: 99%
“…As a result they can only be slightly distorted even if the age at censoring is low, that is, when the proportion of censored individuals is high. To illustrate that this effect is not restricted to the ΓGM model, that is, to the model that describes best adult human mortality (Missov and Vaupel, 2015), we consider an additional example with experimental non-human data (rats), where the mortality pattern is well captured by a Gompertz model.…”
Section: γGm Model-based Mortality Measuresmentioning
confidence: 99%
“…The ΓGM frailty model is widely used in human mortality research as it captures well the S-shaped pattern of mortality at adult ages. For detailed discussion on the semantics and mathematics behind the ΓGM we redirect our readers to Vaupel et al (1979), Missov andFinkelstein (2011), Vaupel andMissov (2014) and Missov and Vaupel (2015). We use maximum likelihood for fitting the ΓGM model, that is, we maximize a Poisson log-likelihood…”
mentioning
confidence: 99%
“…It is not for instance, compatible with the accelerated-life models (Finkelstein and Esaulova, 2006) or with the assumption that frailty is log-normally distributed (Missov and Finkelstein, 2011). If a mortality plateau really exists, the only meaningful way of describing human mortality seems to be the Gamma-Gompertz model where the individual rate of ageing is constant, the hazards evolve exponentially (à la Gompertz) and frailty is Gamma distributed (Missov and Vaupel, 2015).…”
Section: Introductionmentioning
confidence: 99%