A LIMIT THEOREM FOR THE GALTON-WATSON PROCESS WITH IMMIGRATION

It is difficult, in general, to optain an explicit expression for the limiting-stationary distribution, when such a distribution exists, of the process in which teh individuals reproduce as in a Galton-Wastson process, but are also subject to an independent immigration component at each generation. The main result of this paper is a limit theorem which suggests a means of approximating this distribution by a gamma density, when the mean of the offspring distribution is less than, but close to, unity. Following along the same lines, it is easy to show that a similar limit theorem holds for the asymptotic conditional limit distribution of an ordinary subcritical Galton-Watson process, whereby this distribution approaches the exponential as the offspring mean approaches unity.     

Intraindustry division of labor: The states of Mexico

Measures of occupational differentiation in each of eight industries vary markedly among the states of Mexico, a finding that is construed as evidence of territorial divergence in economic development. The relation among states between the relative size of an industry and the amount of occupational differentiation is direct for some industries but inverse for others. The interpretation is that industry size and intraindustry division of labor are directly related only to the extent that the labor force is concentrated territorially. Findings for the states of Mexico 1950 and 1960 are consistent with the interpretation.     

A Curriculum for Graduate-Level Marriage and Family Therapy Education*

The Delphi technique of refining group opinion was used to develop a graduate level marriage and family therapy curriculum. Opinions were synthesized from a national panel of 20 AAMFT Approved Supervisors and 25 training directors of graduate-level marriage and family therapy programs. Three rounds of questionnaires were employed and 101 content areas met the criteria for inclusion into the final curriculum. Discussed are the similarities and differences of this curriculum and the current “model” AAMFT curriculum. It is hoped that the curriculum devised from this study will lead to the continued rethinking, refinement, and evolution of marriage and family therapy education.