The phrase "a function of birth" is correct and usable in written English.
It can be used to describe something that is determined or influenced by the circumstances of one's birth, such as social status or identity.
Example: "The opportunities available to individuals can often be seen as a function of birth, reflecting the advantages or disadvantages they inherit from their families."
Alternatives: "a result of birth" or "an outcome of birth".
In several of my texts, I cite studies to the contrary from different cultures (France Scotlandd; Israeli students of Asian-African origin) wherein achievement actually may increase as a function of birth order in large families.
A second aspect of American exceptionalism is that while in other countries citizenship is a function of birth and blood, you become an American by assimilating to a certain way of life, a certain aspiration.
The density and location of imaginary lifelines in this diagram, omitting migration, is purely a function of birth cohort size and survival.
Within-family analyses revealed that neither siblings' independent self-reported personality traits, nor parents' reports of their children's personality traits, differed systematically as a function of birth order.
Infant mortality has traditionally been analyzed as a function of birth weight and birth weight-specific mortality.
In the full model the following parameters were estimated: the grand mean BW as a function of birth order and zygosity, the variance and covariance in BW (as a function of zygosity), and the regression coefficients on BW of GA, GA, sex, alcohol consumption and smoking.
The mean number of language editions in which men and women are included as a function of their birth year.
The theoretical volume of blood drawn off for biological tests during the first 30 days of life was noted and recorded as a function of the birth weight.
The left panel of Figure 2 plots rich-poor disparities in facility births as a function of percentage of births in a private facility.
To determine whether the loss of immunity among HIV patients residing in the USA is a function of country of birth, this study quantifies ATA levels among HIV-infected persons born in the USA compared to those born in foreign countries and immigrated to the USA.
After ordering all male inhabitants as a function of date of birth, every xth man was included to obtain a first selection of the potential participants with ages evenly distributed between 20 and 40 years.
