For locally uploaded content the process for displaying it on a page is the same as an image. See the image syntax documentation on MediaWiki.org for complete reference on this feature.
This example would display a video in page using a HTML5 <video> tag.
[[File:Example.mp4]]
To specify the start and end timestamps in the media use the start and end parameters. The timestamp can be formatted as one of: ss, :ss, mm:ss, hh:mm:ss, or dd:hh:mm:ss.