In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-va...

The posterior moments of parameters specifying distributions are minimum mean square Bayesian estimators for the corresponding moments of those parameters, and as such are ubiquitous in the Bayesian approach to statistical inference of distributions. The Cauchy distribution is most notable for its wide tails, decided absence of high-order moments, and non-existence of less-than-data dimension s...

Recent research indicates that knowledge about social networks can be leveraged to increase efficiency of interventions (Valente, 2012). However, in many settings, there exists considerable uncertainty regarding the structure of the network. This can render the estimation of potential effects of network-based interventions difficult, as providing appropriate guidance to select interventions oft...

A wide variety of priors have been proposed for nonparametric Bayesian estimation of conditional distributions, and there is a clear need for theorems providing conditions on the prior for large support, as well as posterior consistency. Estimation of an uncountable collection of conditional distributions across different regions of the predictor space is a challenging problem, which differs in...

purpose : to report a case of posterior keratoconus with atypical ocular findings case report : an 8-year-old boy was referred to our clinic with the chief complaint of blurred vision in his right eye. the patient had no history prior ocular surgery of trauma. her family history was also unremarkable. comprehensive ocular examination was performed. results : the patient's best spectacle co...

We investigate the posterior rate of convergence for wavelet shrinkage using a Bayesian approach in general Besov spaces. Instead of studying the Bayesian estimator related to a particular loss function, we focus on the posterior distribution itself from a nonparametric Bayesian asymptotics point of view and study its rate of convergence. We obtain the same rate as in Abramovich et al. (2004) w...

optical rehabilitation of the patient with aphakia who cannot tolerate contact lenses present a therapeutic challenge. in the absence of capsular support, anterior chamber lenses have been widely used. on the other hand intraocular lens implantation of scleral sutured posterior chamber intraocular lens during penterating keratoplasty or insufficient iris support is recommended. the purpose of t...