re:
Using Battery Monitoring tools (aside from built in Battery Saver) i find hurt my battery more than it helped. Sure its nice to see the "avg" discharge time, but after 2 years of going crazy over each % change on a daily basis...i gave up, hard reset my device and did not install ANY battery monitoring apps. On my 1020, it varies...the WP OS is wonky at times, but i can get easily 1 day on my 1020, this includes Cortana, Wifi on all day, background apps running like facebook, instagram, twitter, weather flow, location services on, etc. Tip, dont allow IE to run in background.
I do believe there is some break-in period, or a knowledge period of the hardware learning about the OS, before things settle down and become more 'stable'.
Get rid of your battery monitoring app (from the store) and stop worrying about the battery, the sooner you do this and enjoy the device, the more you will ENJOY your device and stop going nuts over daily consumption that most likely cant be "controlled", as much as people believe its 'possible'. WP OS is still a work in progress, processes get hung...although its running much better on 8.1 than 8.