I have a special interest in genetics and personality type. I believe they are directly correlated, largely through my observations and experiences being adopted from birth, and having found my biological mother when I was nearly an adult, followed by recently connecting with my paternal side of the family. I see a close relationship in my children's types and my husband's and my type as well. I prefer to go by cognitive functions, but it's not really necessary; you can use mbti preferences and still see a depiction of how type play out in inheritance.
I invite you all to post your parents' types (use an educated guess, and if you are not sure, please use a 'x' to specify that) and your own type. If you have older children, it would be interesting to see that relationship as well.
Here is mine:
My biological mother is an INTJ and my biological father (according to my brother who is most likely an INTP) was an ESFJ. This easily explains my Ni/Fe, my two most utilized functions. My adoptive mom is an ISTJ and my adoptive dad was an ESTJ, and my adopted sister is an ISFP. Although I was raised around all that S, I am nothing close to sensory oriented, with the exception of Si, which I use fairly well when it comes to understanding how I'm feeling in my body--being able to physically feel and locate accurately the origin of sensations in my body. I attribute this most likely to my father's Si.
My husband's mother and father are: ISFP/ESTP respectively. My husband is ISTP. He gets his Ti/Se from his father, but he is very Fe as well, relative to a typical ISTP.