He has a collection of stories by women writers.
他有一本女作家小说集.（这个句子出自牛津高阶字典）
句子是对的.
不知楼主查的是牛津什么字典,
建议查牛津高阶.
如：
The painting comes from his private collections.
这幅画来自他的私人收藏.
We're collecting signatures for a petition.
我们在为请愿书收集签名.
There was a collection of books and shoes on the floor.
地板上有成堆的书和鞋.
供参考.