Jolokia is a great way to monitor JVM applications and provide easy access to all the JMX goodies using simple JSON over HTTP. I would say that it has almost become the de facto standard when it comes to monitoring and managing Java applications.
While Jolokia does provide a specialized Mule agent it does not allow us to exposing the Jolokia interface over HTTPS (or enable TLS Client Authentication). On the other hand this is supported by the Jolokia JVM Agent. And it also works great with the Mule Server Runtime. In this blog post I do a step by step instruction on how to starting the Jolokia JVM Agent with the Mule runtime and enable HTTPS and basic authentication.