The problem of complex data analysis is a central topic of modern statistical science and learning systems and is becoming of broader interest with the increasing prevalence of highdimensional data. The challenge is to develop statistical models and autonomous algorithms that are able to acquire knowledge from raw data for exploratory analysis, which can be achieved through clustering technique...

In this article, two different systems subject to shocks occurring based on a non-homogeneous Poisson process (NHPP) are analyzed. Type –I system is consisted of a single unit and type –II system is consisted of two parallel units in which both units operate identically and simultaneously. In type –I system occurrence of a shock causes system stopping and consequently will be received minimal r...

the malmquist productivity index evaluates the productivity change of a decision making unit (dmu) between two time periods. in this current study, a method is proposed to compute the malmquist productivity index in several time periods (from the first to the last periods) in data envelopment analysis (dea) and then, the obtained malmquist productivity index is compared with malmquist productiv...

We present the discovery of an extreme flaring event from Proxima Cen by ASKAP, ALMA, HST, TESS, and du Pont Telescope that occurred on 2019 May 1. In millimeter FUV, this flare is brightest ever detected, brightening a factor >1000 >14000 as seen ALMA respectively. The FUV continuum emission trace each other closely during flare, suggesting could serve proxy for stellar flares become powerful ...

This investigation deals with single server queueing system wherein the arrival of the units follow Poisson process with varying arrival rates in different states and the service time of the units is arbitrary (general) distributed. The server may take a vacation of a fixed duration or may continue to be available in the system for next service. Using the probability argument, we construct the ...