The phrase "a segment of their" is correct and usable in written English.
It can be used when referring to a portion or part of something that belongs to a group or individuals.
Example: "The researchers analyzed a segment of their data to identify trends in consumer behavior."
Alternatives: "a portion of their" or "a part of their".
In some panels, a segment of their white underwear could be seen.
It's possible to retrace a segment of their history in Paris through the boxes of photographs in the Bibliothèque.
And many large companies currently use cloud services for a segment of their data storage, and also utilize and virtualize in conventional data centers.
And one way that developers can act on that data is through the new ads, which deliver targeted promotions for in-app purchases to a segment of their audience.
These bacteria, closely related to the mutualistic plant-associated Rhizobium species, induce neoplastic growths in a wide range of host-plant species by transferring a segment of their own DNA into the genome of the host cell.
When Nissen inserted an ultrasound probe into the arteries of patients who received the ETC-216, he found the volume of plaque in a segment of their coronary arteries had decreased in five weeks by 4%.
The worse things get, the more entrenched becomes a segment of Americans in their blind allegiance to Donald Trump.
With each month, the Obama administration rolled out a new policy for a different segment of their coalition they hoped to attract.
Even if legislators and governors know voter fraud is a fiction they also realize a sizable segment of their constituents believe the propaganda.
"It's a small segment of their overall revenues, but it's a high margin part of the business".
The Giants are young and are gaining experience week by week, and as they proceed into what appears to be a weaker segment of their schedule -- they face Seattle here Sunday -- they could gather momentum.
