Tell me please which one of the following sentences is correct.
I cannot explain me having hired him.
I cannot explain my having hired him.
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I cannot explain my having hired him. (correct)
Explanation
In this sentence, "having" is a gerund (a gerund can take the place of a noun) and so "my having" is correct.
Here is another example:
The Special Verbs That Are Also Nouns - Gerunds in English
"I never believe nor disbelieve. If you will excuse my speaking frankly, I mean to observe you closely, and to decide for myself." (Wilkie Collins, Percy and the Prophet, 1877)
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