为什么非要用一种特定的技术呢？

                                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

why do u say so?

Short answer:  probably No Place to be used ( directly) at all .

Large number law simply says for too many factors affecting something, it is probably reasonable to assume Normal distribution.
But, real life problem usually needs more accuracy; i.e., need more specific distribution and can find one.

So if it Were Used somewhere, it is understood that it is Not useful directly, but simply a first conceptual step.

If somebody has application, please share.

银行的个人贷款是否是一个大数定理运用的例子呢？

Do you want model default with respect to consumer's incomes. Defaults are usally small events, do not look like a normal distribution.
Or you want...?