<human>: Condense the text into a few key points

The building that I live in is two stories, with apartments on the top and bottom (ground) floors.  The stairs to get to my apartment are on the outside of my building, and lead up to a small landing where my apartment door and my neighbor's door are.

Right below us is a family with a few kids -- I'm not sure how many.  These kids play with the other neighborhood kids outside all the time, screaming and yelling and generally doing kid stuff.  I have no problem with their noise when they're playing in the street and such.

However, sometimes these kids will run up and down the stairs leading to my apartment or sit on the landing, which is directly outside my living room window.  The stairs are old and metal and make an awful clanging noise when they're played on, and when the kids are on the landing I can hear every word they say as if they were sitting in the room with me.  I've asked them not to play on the stairs and they usually listen right after I tell them (sometimes they wait 10-15 minutes and then leave), but they come back after a week or so.

My question is: Do I have the right to be annoyed by this?  These kids have no reason to be on the stairs -- they lead only to mine and my neighbor's apartment, and she lives alone.  Like I said, I have no problem with kid noise in general, but damn, this is driving me crazy.  Should I go to the parents about it, or will I sound like a nagging neighbor?  I want to live here for a long time, so I want to have good relationships with my neighbors.
<bot>: Neighbor kids won't stay off the external staircase that leads to my apartment.  It's loud and annoying.  Would it be appropriate to go to the parents?