Medical studies often involve a comparison between two outcomes, each collected from sample. The probability associated with, and confidence in the result of study is most importance, since one may argue that having been wrong with percent could be what killed patient. Sampling usually done finite discrete population it follows Bernoulli trial, leading to contingency binomially distributed samp...

We use cumulants to derive Bayesian credible intervals for wavelet regression estimates. The first four cumulants of the posterior distribution of the estimates are expressed in terms of the observed data and integer powers of the mother wavelet functions. These powers are closely approximated by linear combinations of wavelet scaling functions at an appropriate finer scale. Hence, a suitable m...

We study the general relativistic motion of a bright spot in jet from an accreting black hole. The corresponding lensed images moving are calculated numerically discrete time intervals along trajectory Kerr space-time framework. As representative examples, we consider cases supermassive holes SgrA* and M87*. Astrophysical observations spots jets provides unique possibility for verification diff...

Every event has an extent in time, which is usually described by crisp time intervals. However, under some circumstances, temporal extents of events are imperfect, and therefore cannot be adequately modelled by crisp time intervals. Rough sets and fuzzy sets are two frequently used tools for representing imperfect temporal information. In this paper, we apply a two-dimensional representation of...

Atrial Fibrillation (AF) is the most familiar example of arrhythmia that will occur health problems such as stroke, heart failure and other complications. Globally, number AF patients more than triple by 2050 worldwide. Current methods involve performing large-area ablation without knowing exact location key parts. The reliability technology can be used a target for atrial fibrillation’s cathet...

Mapping every simplex in the Delaunay mosaic of a discrete point set to the radius of the smallest empty circumsphere gives a generalized discrete Morse function. Choosing the points from a Poisson point process in R, we study the expected number of simplices in the Delaunay mosaic as well as the expected number of critical simplices and non-singular intervals in the corresponding generalized d...