The beta-binomial model is widely used for analyzing teratological data involving littermates. Recent developments in statistical analyses of teratological data are briefly reviewed with emphasis on the model. For statistical inference of the parameters in the beta-binomial distribution, separation of the likelihood introduces an likelihood inference. This leads to reducing biases of estimators...

An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of acquisition functions by Gaussian processes for the next training phase, which should be located near a local maximum or a global maximum of the probability distribut...

We investigate three different approaches for fitting the degree distributions of China-, US-and the composite China+US air network, in order to reveal the nature of such distributions and the potential theoretical background on which they are based. Our first approach is the fitting with q-statistics probability distribution, done separately in two regimes. This yields acceptable outcomes but ...

The spatial pooling method such as spatial pyramid matching (SPM) is very crucial in the bag of features model used in image classification. SPM partitions the image into a set of regular grids and assumes that the spatial layout of all visual words obey the uniform distribution over these regular grids. However, in practice, we consider that different visual words should obey different spatial...

Breeze et al. report that living in a deprived area is associated with poor quality of life in a large population-based sample of older adults living in the UK. 1 Their paper adds to a large body of work reporting associations between area socioeconomic characteristics or area deprivation and a variety of health outcomes. 2 The focus on the elderly population is especially interesting because, ...

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Since 1905, when they were annexed by Japan’s Shimane prefecture, Liancourt Rocks—known as Dokdo by the Koreans and as Takeshima by the Japanese—have been a sticking point in relations between the two countries. Although South Korea has had effective control over the islets since the 1950s, Japan continues to contest those claims. More recently in the 2000s, several incidents have served to agg...

Let s ∈ R and p ≥ 1; the Sobolev space Lp,s(Rd) is the space of tempered distributions f such that (Id−∆)s/2 f ∈ Lp, where (Id−∆)s/2 is the Fourier multiplier by (1 + |ξ|2)s/2. If s > d/p, then Lp,s is composed of continuous functions; more precisely, the Sobolev embeddings state that Lp,s↩Cs−d/p, see [24, Chapter 11]. In order to state in which sense this embedding is sharp, we need to recall ...