We give bounds on the difference between weighted arithmetic mean and geometric mean. These imply refined Young inequalities reverses of inequality. also study some properties Applying newly obtained inequalities, we show results Tsallis divergence, R\'{e}nyi Jeffreys-Tsallis divergence Jensen-Shannon-Tsallis divergence.

This note is concerned with Bayesian estimation of the transition probabilities of a binary Markov chain observed from heterogeneous individuals. The model is founded on Jeffreys’ prior which allows for transition probabilities to be correlated. The Bayesian estimator is approximated by means of Monte Carlo Markov chain (MCMC) techniques. The performance of the Bayesian estimates is illustrated...

A Bayesian analysis was developed with different noninformative prior distributions such as Jeffreys, Maximal Data Information, and Reference. The aim was to investigate the effects of each prior distribution on the posterior estimates of the parameters of the extended exponential geometric distribution, based on simulated data and a real application.

The segmentation of satellite images is a valuable tool to obtain useful information about the spatial distribution of different land cover types. The use of segmentation algorithms instead of the traditional pixel-by-pixel classifiers used to produce land cover maps results on images that exhibit a more homogeneous distribution of classes, showing the piecewise spatial continuity of the real w...

Injury from anti-personnel mines remains a serious threat to military and civilian populations, even after conflict has ceased (Groom 1984; Jeffreys 1996). It was estimated that in 1996, there were approximately 100 million anti-personnel mines laid worldwide and many of these were, and still are, situated in unmarked mine fields. This article discusses the mechanism, medical management and out...