Be->might be / had been -> might have been?

Hans51She thinks that I am a student.->She thinks that I might be a student.She thought that I had been a student.-> She thought that I might have been a student. Is this okay to use might have been for the guessing version of had been?Thank you so much as usual in advance and Merry Christmas.

What do you mean by "guessing version of had been"?

Hans51Is this okay to use might have been for the guessing version of had been?

Yes. It's the only choice you have because there are more non-modal tenses than there are modal tenses.

I am a student. / I will be a student. > I might be a student.
I was a student. / I would be a student. / I have been a student. / I had been a student. > I m

Did you think that I might have misunderstood you?

Is the sentence natural?

And might have misunderstood is a guess version of had misunderstood? Or it is just a past form of might misunderstand?

I hope that this question is clear to understand.

Thank you so much as usual in advance.

Hans51Did you think that I might have misunderstood you?Is the sentence natural?

It's natural. It's fine.

Hans51And might have misunderstood is a guess version of had misunderstood? Or it is just a past form of might misunderstand?

You've gone past my understanding now. I thought you were thinking of anything with "might"

CalifJim I thought that I might not have understood you.= I thought that MAYBE I did not understand you.

Thank you so much as usual and all of a sudden, I have a question and then can you give me a sentence which has the same meaning as

I thought that I might not understand you. = ?

Is this also "I thought that MAYBE I did not

Hans51I thought that I might not understand you. = ?Is this also "I thought that MAYBE I did not understand you"?

No. That is not the interpretation that comes to mind.

If I actually heard a sentence with that sequence of tenses, I would take "might" as "maybe ... would", thus:

I was going to ask the professor a question, but I wasn't sur