How to properly construct statsNames?

Sorry for the delay on the reply, this one slipped by me.

For the statsNames parameter, you will have to declare it as a 2-d array and then allocate the second dimension with the two field values. Something like this should work

// Create a new 2-d array with the first dimension of size 1 (for the single profile)
iControl.LocalLBProfileUserStatisticUserStatisticName[][] statsNames = new iControl.LocalLBProfileUserStatisticUserStatisticName[1][]; 
// Allocate the 2nd dimension for index 0 to a size of 2 (2 keys for the single profile)
statsNames[0] = new iControl.LocalLBProfileUserStatisticUserStatisticName[2];
statsNames[0][0] = new iControl.LocalLBProfileUserStatisticUserStatisticName();
statsNames[0][0].setStatistic_key(iControl.LocalLBProfileUserStatisticUserStatisticKey.USER_STATISTIC_1);
statsNames[0][0].setStatistic_name(new iControl.LocalLBProfileString());
statsNames[0][0].getStatistic_name().setValue("total");
statsNames[0][0].getStatistic_name().setDefault_flag(false);
statsNames[0][1] = new iControl.LocalLBProfileUserStatisticUserStatisticName();
statsNames[0][1].setStatistic_key(iControl.LocalLBProfileUserStatisticUserStatisticKey.USER_STATISTIC_2);
statsNames[0][1].setStatistic_name(new iControl.LocalLBProfileString());  
statsNames[0][0].getStatistic_name().setValue("winners");
statsNames[0][0].getStatistic_name().setDefault_flag(false);
i_interfaces.getLocalLBProfileUserStatistic().set_statistic_name(profile_names, statsNames);

Hope this helps...