Recently Díaz, Hössjer and Marks (DHM) presented a Bayesian framework to measure cosmological tuning (either fine or coarse) that uses maximum entropy (maxent) distributions on unbounded sample spaces as priors for the parameters of physical models ( https://doi.org/10.1088/1475-7516/2021/07/020 ). The DHM stands in contrast previous attempts rely uniform prior assumption. However, since often ...

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...

Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...

(2015) On Bayesian problem-solving: helping Bayesians solve simple Bayesian word problems. Resolving the " Bayesian Paradox " —Bayesians Who Failed to Solve Bayesian Problems A well-supported conclusion a reader would draw from the vast amount of research on Bayesian inference could be distilled into one sentence: " People are profoundly Bayesians, but they fail to solve Bayesian word problems....

to demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the banach-zareckitheorem is presented on the basis of the radon-nikodym theoremwhich emphasizes on measure-type properties of the lebesgueintegral. the banach-zarecki theorem says that a real-valuedfunction $f$ is absolutely continuous on a finite closed intervalif and only if it is continuo...

Thomas Bayes (1701-1761), shown in the upper left, first discovered " Bayes' theorem " in a paper that was published in 1764 three years after his death, as the name suggests. However, Bayes in his theorem used uniform priors[1]. Pierre-Simon Laplace (1749-1827), shown in the lower right, apparently unaware of Bayes' work, discovered the same theorem in more general form in a memoir he wrote at...

OBJECTIVES Frozen shoulder is a disease in which shoulder becomes stiff. Accurate diagnosis of frozen shoulder is helpful in providing economical and effective treatment for patients. This research provides the classification of unstructured data using data mining techniques. Prediction results are validated by K-fold cross-validation method. It also provides accurate diagnosis of frozen should...

BACKGROUND Bayesian methods may be defined as the explicit quantitative use of external evidence in the design, monitoring, analysis, interpretation and reporting of a health technology assessment. In outline, the methods involve formal combination through the use of Bayes's theorem of: 1. a prior distribution or belief about the value of a quantity of interest (for example, a treatment effect)...

in this paper, a vector version of the intermediate value theorem is established. the main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{on fixed point theorems for monotone increasing vector valued mappings via scalarizing}, positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixe...