We investigate the scattering of phase oscillation of Bose-Einstein Condensate by a ’draining of bathtub’ type fluid motion. We derive a relation between the reflection and transmission coefficients which exhibits existence of analog of ’Superradiance effect’ in BEC vortex with sink.

In this paper, a new five-parameter lifetime and reliability distribution named “the exponentiated Uniform-Pareto distribution (EU-PD),” has been suggested that it has a bathtub-shaped and inverse bathtub-shape for modeling lifetime data. This distribution has applications in economics, actuarial modelling, reliability modeling, lifetime and biological sciences. Firstly, the mathematical and st...

This study presents a new three-parameter beta distribution defined on the unit interval, which can have increasing, decreasing, left-skewed, right-skewed, approximately symmetric, bathtub, and upside-down bathtub shaped densities, U, hazard rates. model define well-known distributions with various parameters supports, such as Kumaraswamy, exponential, exponentiated uniform, generalized of firs...

The Generalized Renewal Process (GRP) is a probabilistic model for repairable systems that can represent the usual states of a system after a repair: as new, as old, or in a condition between new and old. It is often coupled with the Weibull distribution, widely used in the reliability context. In this paper, we develop novel GRP models based on probability distributions that stem from the Tsal...

abstractbackgroundline of treatment for management of hydrocephalus despite available new techniques andsystems of shunting. associated complications should be recognized and managed properly,but the most recognized complications are shunt obstruction which its prevalencethrough surgical approach is discussed here. two approaches (frontal and parietal) are usedto insert ventriculoperitoneal shu...

In this article, Burr III distribution is proposed with a significantly improved functional form. This new modification has enhanced the flexibility of classical ability to model all shapes hazard rate function including increasing, decreasing, bathtub, upside-down and nearly constant. Some its elementary properties, such as rth moments, sth incomplete moment generating function, skewness, kurt...

In this paper, we define a new generator to propose continuous as well discrete families (or classes) of distributions. This is used for the DAL model (acronym last names authors, Dimitrakopoulou, Adamidis, and Loukas). newly proposed family may be called odd (NODAL) G-class or alternate We developed both version G-class. Some mathematical statistical properties these G-classes are listed. The ...

Research Statistical Inference About the Shape Parameter of the New Two-parameter Bathtub-shaped Lifetime Distribution Jong-Wuu Wu1,∗,†, Hai-Lin Lu2, Chong-Hong Chen3 and Chun-Hsien Wu1 1Department of Statistics, Tamkang University, Tamsui, Taipei 25137, Taiwan 2Department of Management Information Science, Chia-Nan University of Pharmacy and Science, Tainan, Taiwan 3Department of Mathematics, ...

By A. ANDERSEN, T. BOHR , B. STENUM, J. JUUL RASMUSSEN AND B. LAUTRUP Cornell University, Department of Theoretical and Applied Mechanics, Ithaca, NY 14853, USA The Technical University of Denmark, Department of Physics, DK-2800 Kgs. Lyngby, Denmark Risø National Laboratory, Optics and Plasma Research Department, DK-4000 Roskilde, Denmark The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenh...