hi!!! everybody on every week alexa will be updating rank for website but compete doesnt any change about rank it remains same....so which one is best to see website status and which one is right???
I am a Webmaster from many years and for me Alexa and Compete ranking are not important so much. And I don't have faith in either. For me the main thing (when you make SEO) is to earn more money from Internet and to be in Top 10 for Google.
Both Alexa and Compete have thin data and are not really accurate. You can use them to get rough indications on traffic and keywords, but don't take them literally. In many cases, I've found them to be way off the mark.
If you are looking for which is "better", I'd say compete.com since they at least try to clean their data and normalize to some sense of reality. Even then, their data is so thin that I'm very careful about using it. Alexa is mainly a sample based on their toolbar, and is skewed to the audience that uses it.
If you really want something better, use other tools that have more complete data. For keyword research, the deepest data right now is from Google's keyword tool.