These statistical properties are described as Bose-Einstein statistics.
The theory becomes known as Bose-Einstein statistics.
Bose's "error" lead to what is now called Bose-Einstein statistics.
It is also possible to derive approximate Bose-Einstein statistics in the canonical ensemble.
Objects that are exactly identical behave differently: they are said to obey Bose-Einstein statistics.
These are different to the particles called bosons which are explained by Bose-Einstein statistics.
But if you look at the statistical properties alone, we find it has exactly the same statistics as the Bose-Einstein statistics.
Particles with integer spin, on the other hand, obey Bose-Einstein statistics, and are known as bosons.
Helium-4 atoms are bosons, and their superfluidity can be understood in terms of the Bose-Einstein statistics that they obey.
It is these commutation relations that imply Bose-Einstein statistics for the field quanta.