* भ्रात्रीपुत्री (bhrātṛ-putrī): This literally means "daughter of a brother". It's used for the daughter of the speaker's brother.
* स्वसृपुत्री (svasṛ-putrī): This literally means "daughter of a sister". It's used for the daughter of the speaker's sister.
* पितृव्यपुत्री (pitṛvya-putrī): This literally means "daughter of a paternal uncle". It's used for the daughter of the speaker's father's brother.
* मातुलापुत्री (mātulā-putrī): This literally means "daughter of a maternal uncle". It's used for the daughter of the speaker's mother's brother.
The most appropriate term would depend on the specific context and the relationship between the speaker and the niece.