Offering a video clip with no user controls could seriously irritate your visitors.
Anyway, not sure if this works because I haven't tested it, but give it a go.
Code:
<object id="Player" classid="CLSID:6BF52A52-394A-11d3-B153-00C04F79FAA6" width="320" height="240">
<param name="url" value="YOUR FILE">
<param name="autoStart" value="true">
<param name="uimode" value="none">
<param name="playcount" value="9999">
<embed type="application/x-mplayer2" pluginspage = "http://www.microsoft.com/Windows/MediaPlayer/"
width="320" height="240"
src="YOUR FILE"
showcontrols="0"
playcount="infinite">
</object>
Just change the two 'YOUR FILE' areas in the code above to the location and name of your file e.g. videos/myvideo.avi
Hope this helps,
John