I am buying a home, where previous owner had an insurance claim in 2002. Does my HOA premium will be higher because of that? Also, am I obliged to informed by HOA-company about this previous claim?

Thanks
My mistake. I should not write HOA, I mean HOI (home owner insurance). I will correct it in my original question.

No. Thats like saying I'm buying a used car in which the previous owner ran into another car so my rates are going to be higher. They only thing that is going to affect your rates are homes worth, crime stats in area, coverage, credit and deductible amount.