There are five Schema/Index/IndexPartition tuples:
Schema U1, Index I1, IndexPartitionIP1 has a UserdefinedStatistics Statistics1
Schema U1, Index I1, IndexPartitionIP2 has a UserdefinedStatistics Statistics2
Schema U2, Index I2, IndexPartitionIP1 has a UserdefinedStatistics Statistics3
Schema U2, Index I2, IndexPartitionIP2 has a UserdefinedStatistics Statistics4
Schema U2, Index I2, IndexPartitionIP3 has a UserdefinedStatistics Statistics5