I'm searching to produce a custom AJAX wordpress plugin without needing the admin-ajax.php. For instance "/my-ajax-page/parameter1/parameter2/" Within the wordpress plugin I'll be with such parameter1 &lifier parameter2 to goes information. help!

Well, you haven't provided us with much info, so that all I'm able to recommend is CodeIgniter. Provide us with more detail and perhaps we are able to give a better answer.