There are quite a few shipping companies that will ship to India and even take care of customs for you. But they do not pick up the order from stores directly. You need to get some one to purchase the AVR in Dubai and then hand it over to the shipping company for shipping to India.
Keep in mind that the average shipping rate per KG is 9 AED / 72 INR (at the present rate of 12 INR to 1 AED) and there is a minimum weight which will be charged by shipping companies regardless of whether you have that much to ship or not. The 876 weighs only(!) 26 Kgs packed and I think it may be less than the minimum weight charged by shipping companies.
Alternatively, given the fact that 876 costs three times as much in India, you could book a trip to Dubai (Emirates airlines offers 1 month tourist visa for 3700 INR if you book the flight with them), buy the AVR and other hi-fi items and fly back to India
And if you are lucky, you may end up NOT paying any customs!