If their parents were permissive, the resultant child will likely grow up hedonistic, easily bored and unexcited by life, and unhappy. More likely to be depressed. Among all children, the ones with authoritative parents were most likely to exhibit healthy expectations for themselves, and were more likely to have higher mental health. These are the healthiest of all children, with regard to parenting received. Permissive parents either never punish in any way, or they are very inconsistent with their issuance of punishments.
Authoritarian parents are more likely to have more children, to use corporeal punishment.
Now - authoritative parenting takes four times as much energy and time , but the result is a child that is better prepared to face the enormous peer pressures of adolescents and young adulthood. These children are more self-assured and independent at earlier ages than children parented using other styles. Much like house breaking a puppy. Only praise in public. What is wrong today is wrong tomorrow, until it isn'twrong ever again.