Amber-Rose's sister Shantelle Rush confirmed the death to the Otago Daily Times and said her response to the news was of "total heartbreak".
"I'm lost for words at the moment," she said.
In comments on Facebook, which she gave permission for the ODT to use, she told her brother "we haven't got much left but we will always have each other".
"I don't even have words for the amount of heartbreak I am feeling right now. I honestly thought we couldn't go through any more pain than we already were but I was wrong.
"Unfortunately last night Mum went to be with Amber Rose. We are absolutely devastated and don't know how to get past this.
"Our family will be forever broken... but mum, I hope you are at peace now with Amber.
"And I hope you never ever forget the amount of love me, Jayden Rush, Ollie, piper and the rest of our family all have for you.
"See you on the other side."
The Dunedin doctor accused of murdering Amber-Rose was last month named as Venod Skantha, 30.
The teen was found dead in her Corstorphine home on February 2 and Skantha was charged days later.
Amber-Rose's mother Lisa Ann told the Otago Daily Times last month that the release of Skantha's name after suppression lapsed was no consolation for her.
''Nothing makes this any better.
''I can't deal with this on top of the loss of my child. I don't think anyone understands,'' she said.
''We have to sit there quiet and not say anything.
''All I want to do is stand up and say how amazing she is,'' she said.
In the days following Amber-Rose's death, police launched a search of waterways at Blackhead.
They later confirmed they had found ''an item of interest''.
They then asked for public sightings of a silver BMW travelling between Dunedin and Balclutha early on February 3.
Skantha is scheduled to appear in court again in July.
His trial is set down for March next year.
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