(Based on the comments this question has received, more is needed to avoid confusion. The original question remains as stated below the line below. What is added here now is a more complete rendition that can avoid confusion.)
There are two versions of the word one in English, the cardinal number one and the pronominal count noun one. My question concerns the distribution of the latter. Why is the appearance of the pronominal count noun one immediately after certain determiners (i.e. weak determiners: a, my, your, his, her, our, their, etc.) marginal to bad for many speakers. Some examples are next:
(1) I like your pets. *Do you like my ones? vs. Do you like mine?
(2) Your kittens are cute, *but their ones are cuter. vs. but theirs are cuter.
(3) Our pastries are good, *but your ones are better vs. but yours are better.
The plural ones is used in these examples to avoid confusion with cardinal one, for plural ones is necessarily the pronominal count noun; the cardinal number one is always singular (of course).
The fascinating aspect of this phenomenon is that the examples just produced become fully acceptable if an adjective appears between the determiner and ones:
(1') I like your small pets. Do you like my big ones?
(2') Your gray kittens are cute, but their black ones are cuter.
(3') Our European pastries are good, but your Asian ones are better.
So my question concerns this mysterious state of affairs. What explains the inability of the pronominal count noun one(s) to appear immediately after a weak determiner?
The following data set illustrates a mysterious aspect of the distribution of the indefinite pronominal count noun one in English:
(1) *a one, *my one, *your one, *his one, *her one, *its one, *our one, *their one
(2) a big one, my big one, your big one, his big one, her big one, its big one, our big one, their big one
(3) the one, this one, that one, these ones, those ones
(4) the big one, this big one, that big one, these big ones, those big ones
Why are the examples in (1) bad, whereas the similar examples in (2-4) are fine? What literature addresses this phenomenon directly?