jQuery: How to trigger radio button click

Let's assume we have the following radio buttons

<input type="radio" value="0" name="radiogroup">
<input type="radio" value="1" name="radiogroup">
<input type="radio" value="2" name="radiogroup">

and on each click on a separate radio it should make something. Here is the code:

$(document).ready(function() {
	$("input[name=radiogroup]:radio").click(function() { // attack a click event on all radio buttons with name 'radiogroup'
		if($(this).val() == '0') {//check which radio button is clicked 
			//do something
		} else if($(this).val() == '1') {
			//do something else
                } else if($(this).val() == '2') {
			//do something else again
		}
	});
});

But how to trigger a click on exact radio button when the page is loaded? Here is how:

$("input:radio[name=radiogroup][value=1]").trigger('click');
// here we are triggering click event on the radio button with name 'radiogroup' ans value '1'