  We study the impact of finite-size effect on continuous variable
source-independent quantum random number generation. The central-limit theorem
and maximum likelihood estimation theorem are used to derive the formula which
could output the statistical fluctuations and determine upper bound of
parameters of practical quantum random number generation. With these results,
we can see the check data length and confidence probability has intense
relevance to the final randomness, which can be adjusted according to the
demand in implementation. Besides, other key parameters, such as sampling range
size and sampling resolution, have also been considered in detail. It is found
that the distribution of quantified output related with sampling range size has
significant effects on the loss of final randomness due to finite-size effect.
The overall results indicate that the finite-size effect should be taken into
consideration for implementing the continuous variable source-independent
quantum random number generation in practical.
