On fourth order rotatable designs

Recently, Draper and Herzberg posed some open problems on fourth order rotatable designs. It has been attempted to settle these open problems.     

A new response-adaptive design for continuous treatment responses for phase III clinical trials

A new response-adaptive design, applicable for general class of continuous response distributions, is proposed. The allocation design is studied both theoretically and numerically and compared with some existing procedures. The applicability of the proposed procedure is also illustrated using real life data sets.     

Central limit theorems for four new types of U-designs

Orthogonal array (OA)-based Latin hypercube designs, also called U-designs, have been popularly adopted in designing a computer experiment. Nested U-designs, sliced U-designs, strong OA-based U-designs and correlation controlled U-designs are four types of extensions of U-designs for different applications in computer experiments. Their elaborate multi-layer structure or multi-dimensional uniformity, which makes them desirable for different applications, brings difficulty in analysing the related statistical properties. In this paper, we derive central limit theorems for these four types of designs by introducing a newly constructed discrete function. It is shown that the means of the four samples generated from these four types of designs asymptotically follow the same normal distribution. These results are useful in assessing the confidence intervals of the gross mean. Two examples are presented to illustrate the closeness of the simulated density plots to the corresponding normal distributions.     

Queer Questions

Abstract

As rights claims on the basis of sexual orientation and gender identity occupy an increasingly prominent place in international politics, it seems clear that the long-running Woman Question has been supplemented by a set of variously articulated “queer questions.” Drawing on postcolonial, feminist and queer theory, and readings of queer literary and cinematic texts from India and Iran, this article explores moments of resonance, intersection and tension between the Woman Question and queer questions. It argues, first, that contemporary queer questions echo the preoccupations of the Woman Question even as they are uncannily prefigured by it; second, that these questions have been mutually disruptive of one another, so that queer questions are not simply a rerun of the Woman Question; and third, that differences between these questions are problematically flattened out in projections of shared futurity articulated in the abstract universality of “human rights.” Navigating the shared pasts, fraught presents and imagined futures of Woman and queer questions, the article brings queer critiques of temporality to bear on the concerns of postcolonial queer activism. It elucidates opportunities and challenges for alliance between the subjectivities interpellated by these various questions. In addition, it asks how the proliferation of new subjectivities under the sign of “queer” troubles notions of universal human rights.     

Data-dependent probability matching priors for highest posterior density and equal-tailed two-sided regions based on empirical-type likelihoods

We consider a very general class of empirical-type likelihoods which includes the usual empirical likelihood and all its major variants proposed in the literature. It is known that none of these likelihoods admits a data-free probability matching prior for the highest posterior density region. We develop necessary higher order asymptotics to show that at least for the usual empirical likelihood this difficulty can be resolved if data-dependent priors are entertained. A related problem concerning the equal-tailed two-sided posterior credible region is also investigated. A simulation study is seen to lend support to the theoretical results.     

Fluid flow pattern analysis in a trough region: a nonparametric approach

This paper aims at identifying statistically different circulation patterns characterising fluid flow in the trough region between two adjacent asymmetric waveforms, using the velocity data collected by 3D acoustic Doppler velocimeter. Statistical clustering has been performed using ideas originating from information theory and scale space theory in computer vision for splitting the trough region into different spatially connected segments (identifying the circulation bubble in the process) on the basis of circulation patterns. The paper attempts to visualise the fluid fluctuations in the trough region, with emphasis on the circulation region, by simulating the directional fluctuations of fluid particles from the kernel density estimates learned from the experimental data. The image representation of the estimate of the spatial turbulent kinetic energy (TKE) function reveals interesting features corresponding to the regions of high TKE, suggesting the possibilities for further research in this area along the lines of feature extraction and image analysis.     

„Solidarität“ in südasiatischen Gesellschaften

Taking South Asia as an example, it is shown how efforts to designate “solidarity” as a universally valid category are handicapped on the one hand by the ambiguity of the concept, on the other by its culture-specificity. Based on a linguistic, historical and social overview, it is demonstrated that the discourse parameters for “solidarity” as they dominate in the German language discourse are little suited for the South Asian reality. This leads to critical deliberations on the assumption that concepts and notions of the so-called West are to be seen as universally valid and universally binding.     

ON INCOMPLETE BLOCK DESIGNS FOR SYMMETRIC PARALLEL LINE ASSAYS

Incomplete block designs for symmetric parallel line assays, which estimate L_p, L₁and L1/1 with full efficiency, are constructed in a unified manner. Necessary and sufficient conditions are given for existence. A complete solution is presented when the number of doses is even. A general systematic method of construction is given when the number of doses is odd, and all possible designs for up to 15 doses of each preparation are tabulated.     

On priors that match posterior and frequentist distribution functions

In the multiparameter case, this paper characterizes priors so as to match, up to o(n^-1/2), the posterior joint cumulative distribution function (c.d.f.) of a posterior standardized version of the parametric vector with the corresponding frequentist c.d.f.     

INVERSE SAMPLING FOR DOMAIN ESTIMATION IN A STRATIFIED POPULATION

For a stratified population under inverse sampling, we propose and study an unbiased estimator for the mean of units belonging to a domain with specific features. An alternative, simpler, ratio-type estimator is also considered. Empirical studies show that strategies based on inverse sampling can be superior to a more traditional strategy based on stratified simple random sampling with a fixed number of draws in each stratum.