Answers are grounded in this paper and cite their sources.
SUMMARY Suppose we have a random sample of size n from a distribution with parameters (p l, …,pk) Then, for large n, if (p 1,…, pk) satisfy any model ω of dimension less than k, any function of (p 1, …, pk) can be estimated more precisely by using this model than by using the general model with all k parameters. This result will not be at all surprising to experienced statisticians, but a formal statement and proof of it should be useful in teaching prospective statisticians.
No takes yet. Share an insight, caveat, or question.
P. M. E. Altham (1984) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: