LG Nexus 5 has two serious problems these problems are following:
1.Battery drain and nothing help.
2.power button stuck in.The device is rebooting all the time.
You will need a replacement.
My experience include 2 devices owned by myself and my wife also.
Both have the same issue.
If this issue would be resolved then I think that It could be the best phone in the market.
Otherwise its a headache.
Thanks.