Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Stochastic Models for the Population Growth of the Sexes

Leo A. Goodman
Biometrika
Vol. 55, No. 3 (Nov., 1968), pp. 469-487
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334252
Stable URL: http://www.jstor.org/stable/2334252
Page Count: 19
  • Read Online (Free)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Stochastic Models for the Population Growth of the Sexes
Preview not available

Abstract

In this paper we present stochastic models to describe the changes that take place with time in the numbers of females and males in the various age-intervals in the population. We first consider the case where females, or males, are marriage dominant, i.e. where the joint distribution of the numbers of boys and girls born at time t depends upon the numbers of females, or males, in the various age-intervals in the immediately preceding time-period. We then consider the case where neither females nor males are marriage-dominant, i.e. where the joint distribution of the numbers of boys and girls born at time t depends upon both the numbers of females and males in the various age-intervals in the immediately preceding time-period. Methods are given for calculating the expected values, variances, and covariances of the number of females and males in each age-interval at time t, and asymptotic results are presented for the case where t → ∞. The application of these results is illustrated with data on the fertility and mortality conditions in the U.S. in 1965.

Page Thumbnails

  • Thumbnail: Page 
469
    469
  • Thumbnail: Page 
470
    470
  • Thumbnail: Page 
471
    471
  • Thumbnail: Page 
472
    472
  • Thumbnail: Page 
473
    473
  • Thumbnail: Page 
474
    474
  • Thumbnail: Page 
475
    475
  • Thumbnail: Page 
476
    476
  • Thumbnail: Page 
477
    477
  • Thumbnail: Page 
478
    478
  • Thumbnail: Page 
479
    479
  • Thumbnail: Page 
480
    480
  • Thumbnail: Page 
481
    481
  • Thumbnail: Page 
482
    482
  • Thumbnail: Page 
483
    483
  • Thumbnail: Page 
484
    484
  • Thumbnail: Page 
485
    485
  • Thumbnail: Page 
486
    486
  • Thumbnail: Page 
487
    487