We give an overview of statistical models and likelihood, together with two of its variants: penalized and hierarchical likelihood. The Kullback-Leibler divergence is referred to repeatedly, for defining the misspecification risk of a model, for grounding the likelihood and the likelihood crossvalidation which can be used for choosing weights in penalized likelihood. Families of penalized likel...

The generalized Kullback-Leibler divergence (K-Ld) in Tsallis statistics subjected to the additive duality of generalized statistics (dual generalized K-Ld) is reconciled with the theory of Bregman divergences for expectations defined by normal averages, within a measure theoretic framework. Specifically, it is demonstrated that the dual generalized K-Ld is a scaled Bregman divergence. The Pyth...

We propose to interpret distribution model risk as sensitivity of expected loss to changes in the risk factor distribution, and to measure the distribution model risk of a portfolio by the maximum expected loss over a set of plausible distributions defined in terms of some divergence from an estimated distribution. The divergence may be relative entropy, a Bregman distance, or an f -divergence....

 In this paper, we discuss different estimators of the records Weibull distribution parameters and also we apply the Kullback-Leibler divergence of survival function method to estimate record Weibull parameters. Finally, these estimators have been compared using Monte Carlo simulation and suggested good estimators.

in this paper, by numerical simulation of gas flow, effects of divergence angles on the amplification factor, side force and thrust vector magnitude of a moveable nozzle with supersonic split line have been investigated. the study is conducted for constant exit to throat area ratio and the location of the split line is also constant. the finite volume method with second order upwind scheme for ...

P48 protein of Mycoplasma agalactiae is used to diagnose infection and was identified as potential vaccine candidate. According to the genetic nature of mycoplasma and variable sensitivity in P48-based serological diagnosis tests, intra species variation of P48 nucleotide sequence investigated in 13 field isolates of difference province of Iran along with three vaccine strains. Samples were col...

How genome divergence eventually leads to speciation is a topic of prime evolutionary interest. Genomic islands of elevated divergence are frequently reported between diverging lineages, and their size is expected to increase with time and gene flow under the speciation-with-gene-flow model. However, such islands can also result from divergent sorting of ancient polymorphisms, recent ecological...

Divergence is a discrepancy measure between two objects, such as functions, vectors, matrices, and so forth. In particular, divergences defined on probability distributions are widely employed in probabilistic forecasting. As the dissimilarity measure, the divergence should satisfy some conditions. In this paper, we consider two conditions: The first one is the scale-invariance property and the...