I want to improve the PR for my domains with the right way , I have websites with pretty good traffic rank in alexa but the PR still low 1/2 . Also I saw sites with bad traffic rank on Alexa but the have good PR What is the best way to improve my website PR ? .. And how to Know the Sites /domains with Faked PR ?
Alexa has no relation with PR. - PR is related with links to your site - Alexa is related with traffic (mainly people with Alexa toolbar installed on their browser and visiting your site). And for checking faked PR, you can use this online free tool: http://www.database-search.com/sys/pre-check-en.php
If you want to increase the PR of your site, you need to get more backlinks to your site, preferably from high PR sites
This very common question and answer.. get more quality backlinks.. link submission directory or social bookmarketing.. the most effective is backlinks.. just promote your site
Get more backlinks, preferably from sites having higher PR than yours... To start with, exchange link with my PR2 site: thatisweird.blogspot.com