The histograms of user ratings (1F, . . . , 10F) on the Internet Movie Database (IMDb.com) which are in a mature state (more than 20, 000 ratings) seem to follow common rules. All are either double or triple peaked. Moreover, at most one peak can be on the central bins 2F, . . . , 9F and the distribution in these bins looks smooth `Gaussian-like' while changes at the extremes the often look abr...

We consider a class of generalized skew-normal distributions that is useful for selection modeling and robustness analysis and derive a class of semiparametric estimators for the location and scale parameters of the central part of the model. We show that these estimators are consistent and asymptotically normal. We present the semiparametric efficiency bound and derive the locally efficient es...

 Spatial generalized linear mixed models are used commonly for modelling non-Gaussian discrete spatial responses. We present an algorithm for parameter estimation of the models using Laplace approximation of likelihood function. In these models, the spatial correlation structure of data is carried out by random effects or latent variables. In most spatial analysis, it is assumed that rando...

DNA replication was recently shown to induce the formation of compositional skews in the genomes of the yeasts Saccharomyces cerevisiae and Kluyveromyces lactis. In this work, I have characterized further GC and TA skew variations in the vicinity of S. cerevisiae replication origins and termination sites, and defined asymmetry indices for origin analysis and prediction. The presence of skew jum...

In this work we approach the problem of model comparison between skew families. For the univariate skew model, we measure the sensitivity of the skewness parameter using the L1-distance between symmetric and asymmetric models and we obtain explicit expressions for some of these models. The main result is that the L1-distance between a representable elliptical distribution and a representable sk...

Comparative convexity is a generalization of convexity relying on abstract notions of means. We define the (skew) Jensen divergence and the Jensen diversity from the viewpoint of comparative convexity, and show how to obtain the generalized Bregman divergences as limit cases of skewed Jensen divergences. In particular, we report explicit formula of these generalized Bregman divergences when con...

This paper describea an algorilhm to estimate ihe tezt skew angle in a document image. The algorithm utilizes the recursive morphological transforms and yield8 accurate estimates of tezl skew angles on a large document image data set. The algorithm computes the optimal pcrrameter settings on the fly without any human interaction. In 2hM automatic mode, ezperimental resulti indicate that the alg...