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The Gompertz–Makeham law of mortality describes the age dynamics of human mortality rather accurately in the age window from about 30 to 80 years of age. At more advanced ages, some studies have found that death rates increase more slowly – a phenomenon known as the late-life mortality deceleration [2] – but more recent studies disagree. [4]
In a life table, we consider the probability of a person dying from age x to x + 1, called q x.In the continuous case, we could also consider the conditional probability of a person who has attained age (x) dying between ages x and x + Δx, which is
All these sequences may be viewed as generalizations of the Fibonacci sequence. In particular, Binet's formula may be generalized to any sequence that is a solution of a homogeneous linear difference equation with constant coefficients. Some specific examples that are close, in some sense, to the Fibonacci sequence include:
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Life tables can be extended to include other information in addition to mortality, for instance health information to calculate health expectancy. Health expectancies such as disability-adjusted life year and Healthy Life Years are the remaining number of years a person can expect to live in a specific health state, such as free of disability ...
[2] [3] Life2vec is a transformer-based model, similar to those used in natural language processing (e.g., ChatGPT or Llama), trained to analyze life trajectories. The project leverages rich registry data from Denmark, covering six million individuals, with event data related to health, demographics, and labor, recorded at a day-to-day ...
Life expectancy; Life table; Lift (data mining) Likelihood function; Likelihood principle; Likelihood-ratio test; Likelihood ratios in diagnostic testing; Likert scale; Lilliefors test; Limited dependent variable; Limiting density of discrete points; Lincoln index; Lindeberg's condition; Lindley equation; Lindley's paradox; Line chart; Line ...
The ordinary generating function of a sequence can be expressed as a rational function (the ratio of two finite-degree polynomials) if and only if the sequence is a linear recursive sequence with constant coefficients; this generalizes the examples above. Conversely, every sequence generated by a fraction of polynomials satisfies a linear ...