ajax cross domain

are you looking for a get request or post request?

I am looking for post request

just see how 'Google analytics' works
http://code.google.com/apis/analytics/docs/concepts/gaConceptsOverview.html

Using it for what, exactly?

That allows to perform AJAX requests between different domains

What I'm getting at is the non-technical part of this.  Google Analytics is the complete answer for the way the question is phrased - just do what they do.  

But if we have some understanding of what information you are trying to send between different domains and why you are sending it, we may have other, potentially less brittle suggestions.

That is by using ajax I  want to read data from a script in one domain and it should be displayed in another domain.

did you understood the funda used by google analytic?

That is exactly you need to use

Can  you  send some links  which describes  the examples for it?

examples are also in that link itself

Sometimes it's all about how you ask the question ;-)
http://lmgtfy.com?q=jQuery+cross+domain+get

As you try to build this out, you may find that you need a two-tier approach.  A security thing called "origin policy" may interfere with direct access to another domain, but you may still be able to achieve the effect you want.  The ajax requests would go to a script on your server.  That script would use an API or would use CURL to read information from the foreign server.  Then the script on your server would reformat the information and respond to the ajax request.

I  want to submit a keyword from one of the remote site to a script in another site and the response of the keyword should be displayed in site from which  I sent the  keyword

ID:37249141 exactly describes an API call.  What are the URLs of these sites?  Do you control the server-side scripts on both sites?  Please give us some specifics and we can probably get you accurate answers.

The question said, "give some working examples..."  This smells a lot like one of those questions that had an answer accepted just to get it closed.  No offense to xmediaman, but he describes exactly what Google Analytics demonstrates.  In other words, you already had the answer from gurvinder372 a month ago, and hours before the post you accepted.

No offense taken, Ray_Paseur. If you hadn't just said it, and I hadn't looked at it again, I wouldn't have known I had repeated gurvinder372's comment. I expect the author was overwhelmed with the information there, as was I. But now that you've pointed it out, I'd be happy to relinquish the points to gurvinder372.