Tsunami Characteristics I got datasets about Tsunami events.

According to International Tsunami Information Center and Indian Ocean UNESCO Tsunami center, for an earthquake to cause Tsunami it should have a large magnitude (> 6.5) and shallow focal depth ( &lt; 100 km ).

But there are entries in NOAA tsunami dataset with focal depth of 260 km and a magnitude of 6.8 occurred at sea with the epicenter located at 21.1 km from the nearest coast. There are also entries with magnitude range of 4-5 causing tsunamis.

Are there some other characteristics of earthquake that may cause tsunami?
The rupture velocity of earthquakes is another factor that determines the magnitude of a tsunami.  The term tsunami earthquakes was coined by Hiroo Kanamori in 1972 to describe when an earthquake having a slower rupture velocity (~1km/sec), compared to a more normal velocity (2.5-3.5 km/sec) of a typical earthquake, causes a tsunami greater in magnitude than expected. 

This paper investigates the effect of a horizontal movement of sediments due to an 1896 earthquake that may have created a tsunami earthquake.