The lineage of the koins is key when considering the statistical advantages they can have over the others.
Although value and advantages vary from koin to koin, all lineages hold a minimum value which they can never drop below. This minimum value is known as the Threshold.
The koins of the Tenkai lineage have the highest thresholds, followed by the Lumine, then Hatsu, Maneki, and finally Yume. However, all lineages hold a very high threshold in one or two specific abilities.