We study optimal design problems in which the goal is to choose a set of linear measurements obtain most accurate estimate an unknown vector. [Formula: see text]-optimal variant where objective minimize average variance error maximum likelihood vector being measured. introduce proportional volume sampling algorithm nearly bounds asymptotic regime when number text] made significantly larger than...

This paper identifies the basic methodological issues involved in the sampling design of the third wave of Taiwan Educational Panel Survey (TEPS). Central to the design are three design questions (1) sampling of schools, (2) the sampling of panel members from the second wave of junior high students for two more waves of follow-up, and (3) sampling of classes within school. A systematic discussi...

Optimal design for linear regression is a fundamental task in statistics. For finite spaces, recent progress has shown that random designs drawn using proportional volume sampling (PVS short) lead to polynomial-time algorithms with approximation guarantees outperform i.i.d. sampling. PVS strikes the balance between nodes jointly fill space, while marginally staying regions of high mass under so...

The recognition of adequate sampling designs is an interdisciplinary topic that has gained popularity over the last decades. In ecology, many research questions involve across extensive and complex environmental gradients. This case for stable isotope analyses, which are widely used to characterize large-scale movement patterns dietary preferences organisms taxa. Because natural-abundance varia...