Reproductive response to child mortality: a maximum likelihood estimation model
'The individual household's fertility response to an experienced child death, the replacement probability, is estimated for Brazil using a maximum likelihood estimation model....The model allows the distribution of births, deaths, and replacement births to vary with included exogenous variables. The replacement probabilities estimated for Brazil were between .4 and .9 and varied systematically with women's education, rural-urban residence, and household electrification. Increased development was shown to be correlated with a lower number of surviving children.'
Mauskopf, J. (1983). Reproductive response to child mortality: a maximum likelihood estimation model. Journal of the American Statistical Association, 78(382), 238-248.