How to document possible exceptions but not weigh now clients code with mandatory try/catch noise!

DocumentedRuntimeExceptionExample.java

public class DocumentedRuntimeExceptionExample
{
    public static void main(final String[] args)
    {
        test();
    }

    public static void test() throws TestFailedRuntimeException
    {
        // do some stuff that may or may not throw an exception
    }

    public static class TestFailedRuntimeException extends RuntimeException
    {
        // this is just a strawman example!
    }
}