The one on the left is a remote thermohydrometer. It reads the air temperature and humidity and transmits the data to a weather station.
The one on the right could be a similar device, or else a short-range transmitter that repeats one of your utility meters so the meter man can read it from his van as he drives by.
You should do a network search (eg Google) for the words written on the device.
I believe the box on the right is a temperature sensor: http://www.amazon.com/GE-WIRELESS-DIGITAL-OUTDOOR-THERMOMETER/dp/B001E6DVT6.