"Qian shou guan yin" is The Thousand Armed Avalokiteshvara, if
you have noticed with an eye in each palm. The Four armed Chenzig,
upon making his vows, tried to liberate sentients being from
suffering, as soon as he liberated some, more appeared. This
carried on until Chenrezig's head exploded into many pieces.
Chenrezig spiritual father Amithabha Buddha, gave Chenrezig
eleven heads and a thousand arms to give ability and eyes to seek
all suffering!
One of the reincarnation of Chinese Guan Yin is Princess
Miao Shan, who gave her eyes(I think) to cure her father
illness.
Incidentally, usually facing or behind the Guan Yin is WeiTuo,
Guan Yin's Buddhist Protector.
Guan Shih Yin mean Hearers of World's Sound(Cries)
Pusa means Bodhisattva
And if you have noticed Guan Yin Pusa's statues is flat chested
and not bosomy.
What about the princess, daughter who gave her hand to cure the
father? What guanyin is she?