A two-stage sampling method with stratified secondary units.

Edgeworth expansions for two-stage sampling with applications to stratified and cluster sampling

A two-term Edgeworth expansion for the standardized version of the sample total in a two-stage sampling design is derived. In particular, for the commonly used stratified and cluster sampling schemes, formal two-term asymptotic expansions are obtained for the Studentized versions of the sample total. These results are applied in conjunction with the bootstrap to construct more accurate confiden...

Stratified Sampling Method

Stratified Sampling Method

Two-Stage Importance Sampling With Mixture Proposals

For importance sampling (IS), multiple proposals can be combined to address different aspects of a target distribution. There are various methods for IS with multiple proposals, including Hesterberg’s stratified IS estimator, Owen and Zhou’s regression estimator, and Tan’s maximum likelihood estimator. For the problem of efficiently allocating samples to different proposals, it is natural to us...

An optimal stratified Simon two-stage design

In Phase II oncology trials, therapies are increasingly being evaluated for their effectiveness in specific populations of interest. Such targeted trials require designs that allow for stratification based on the participants' molecular characterisation. A targeted design proposed by Jones and Holmgren (JH) Jones CL, Holmgren E: 'An adaptive Simon two-stage design for phase 2 studies of targete...