Oldest Living Person Age Process

The model obtains an exact marginal distribution for the oldest living person's age. Between titleholder deaths, the oldest living person's age increases deterministically at rate one. When the current titleholder dies, the age process jum…

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The model obtains an exact marginal distribution for the oldest living person's age. Between titleholder deaths, the oldest living person's age increases deterministically at rate one. When the current titleholder dies, the age process jumps down to the next-oldest living person. The oldest living person's age is modeled as a Markov process. The article models the age of the world's oldest living person rather than only the maximum lifespan within a birth cohort.