I have a 37in. Polaroid LCD when I turn the TV on the sceen stay blue and tv makes a buzzing for about 5min it seem of the tv needs to get warmed up before it comes on but once its on it works fine

The blue is an indication that there is a loss of video signal. Since the set appears to trecover after a "warm up" period, it suggests that there are either poor connections or defective components inside that are effected by heat. Most components inside are surface mounted and not typical DIY accessable. Your best bet is to see if you can find a pattern to when the set works and when it has trouble. In other words, does the set take longer to start if the room temp is cooler? If the set has been on for a while and you shut it off, can you restart it right away or do you need to go through the "warm up" period again?

The details requested above will help a servicer track down the problem for you.

Hope this helps,
Dan