"... actually she is the one, who is the Vruddha, is described as Vruddha, she is the one, is the aged one. Because Kwan Yin was born to a king, she was the daughter of a king.
And she was the Virgin form of the goddess, and she would not marry, so her father got very angry with her, that she is not married, and he threatened her, because he had arranged her marriage with some great king, you see. And when the marriage did not take place, father was so angry and annoyed and felt very humiliated. So he took her to a hillside and threatened her that "I will throw you down." And actually she was thrown down from the hillside into a valley, and he thought, that she must have been dead. But there was a tiger, which held her, and he carried her along, and then he looked after her. And when she grew very old, quite old, then she came out of her hermitage and she started treating people, and many people got cured by her - but she was quite old, then the father recognized her, because father was sick. She went and treated the father also, and she started curing people, and that's the Kwan Ying. If you go to Hong Kong, you can see her statue, the face is very much like mine, absolutely, but she is older looking and her shoulders are bent, quite bent. But she came much before Christ, and the Buddhists felt, that people wouldn't give her up, because she was so much regarded as the Mother of Mercy. So they included her in the Buddha thing."
(H.H.Shri Mataji Nirmala Devi, Talk in Vienna, 2/5/85)
For me, the thousand hand Kwan Yin has her merciful heart and mighty power and great anger and valour against evil, very similar to those of Shri Durga - a form of the Adi Shakti. Another form of Kwan Yin with the kumbha pouring divine fluid (blessing) is actually Shri Raja Laxmi or Shri Mahalaxmi. And another form of Kuan Yin with children around her may obviously be the form of Shri Gruha Laxmi. All of these reminds us of the Primordial Mother looking after her devotees. (Edwin, HK)
Kuan Yin (or Kuan Shih Yen) can be considered a translation of the Sanskrit name of her Indian Buddhist counterpart, Avalokitesvara (or Avalokita).