I posted photos here last year but the plant was too young to produce fruit. Here are new photos of the same plant with chilli's growing on it. What type of chilli plant is this? My uncle was told the seeds were a Thai fire chilli, but there are so many varieties of them. Is this an ornamental plant?
The shape of the fruit, combined with them growing upwards, will narrow it down, but not much. For example tabasco grows like this (and also shows ripe and unripe fruit together with that range of colours). The shape of the bush depends so much on how it's treated, light levels, fertiliser, etc. that I wouldn't read too much into that.
I can't find Thai fire online, but hot Thai aka Thai hot seems to pass through a dark green, almost brown, before ripening, instead of the yellow/orange in your picture. It does however have the up-growing fruit (unlike, say, habanero or jalapeño).
I doubt you'll be able to track it down definitively.
As Chris H says, I'm afraid it's quite impossible to identify a species from a picture. Many chili varieties have fruits that grow upright. Thai fire seems to be a good possibility.
Note however, that all chillies are edible, also the ornamental ones. The difference only lies in the form of the plant, and the taste of the fruit. Yours however doesn't seem to be ornamental.