, s = 1 The first measure generalizes the well known J-divergence due to Jeffreys [16] and Kullback and Leibler [17]. The second measure gives a unified generalization of JensenShannon divergence due to Sibson [22] and Burbea and Rao [2, 3], and arithmeticgeometric mean divergence due to Taneja [27]. These two measures contain in particular some well known divergences such as: Hellinger’s discr...

We derive Wiman’s asymptotic formula for the number of generalized zeros of (nontrivial) solutions of a second order dynamic equation on a time scale. The proof is based on the asymptotic representation of solutions via exponential functions on a time scale. By using the Jeffreys et al. approximation we prove Wiman’s formula for a dynamic equation on a time scale. Further we show that using the...

In this paper the Bayesian analysis for Rayleigh model assuming the uninformative (Jeffreys and Uniform) and informative conjugate (square root inverted gamma and two component square root inverted gamma mixture) priors is presented. The comparison is made on the basis of Bayes Estimates, posterior variances, credible intervals and highest posterior density regions for different sample sizes an...

In many common situations, a Bayesian credible interval will be, given the same data, very similar to frequentist confidence interval, and researchers interpret these intervals in fashion. However, no predictable similarity exists when are based on model-averaged posteriors whenever one of two nested models under consideration is so called “point-null”. Not only can this be quite different than...

Many writers who entertain the use of subjective probability or credal probability for, among other things, the evaluation of expected values of options in decision problems insist that such credal probability judgments should be determined by the agent’s “available evidence” or “available knowledge”. Notable 20 century examples are H. Jeffreys (1921, 1951), J.M. Keynes (1921), R. Carnap (1950,...

Patients and methods This was a retrospective review of ultrasound images from a QA database (Qpath) of all positive patient care FAST exams from adult trauma patients at 2 urban, academic emergency departments over 2 years. Eligible studies were reviewed for location of intra-abdominal FF. FF seen in LUQ was further characterized as in splenorenal fossa, left paracolic gutter, and/or subdiaphr...