ABSTRACT

Let us first introduce the main components of our story and agree on some notation.

The sequence {βi}∞i=1

denotes the times of birth for individuals with given properties/characteristics: for example, individuals with the same place of birth, belonging to a given socio-economic group, of the same ethnicity, etc. For us, the sequence of times of birth is just an increasing sequence of random variables

0 < β1 < β2 < · · · .