On age distribution in population growth

The statistical problem of age distribution in population growth involves the well known difficulties in mathematical probability of defining the distribution of a discrete number of random points (individuals) in a continuous parametric space (age). The assumption of the possibility of multiple births makes the problem more complicated, and we are constrained to introduce the concept of multiple points. This leads to an extension of the method of product densities devised earlier for the treatment of population problems. The paper deals with such an extension and as an example of the application of this method the population problem with twins is discussed.

[1]  J. Doob.  Stochastic processes , 1953 .

[2]  D. Kendall.  Stochastic Processes and Population Growth , 1949 .

[3]  Alladi Ramakrishnan,et al.  Stochastic processes relating to particles distributed in a continuous infinity of states , 1950, Mathematical Proceedings of the Cambridge Philosophical Society.

[4]  Homi Jehangir Bhabha.  On the stochastic theory of continuous parametric systems and its application to electron cascades , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.