distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract This paper develops Bayesian analysis for Constant Stress Accelerated Life Test (CSALT) under Type-II censoring scheme. Failure times are assumed to distribute as the three-parameter Generalized Logistic ...

We specifically discussed the power law degree distribution which has degree distribution pk = C ·k−α where C is a constant and α > 1. While not all degree distributions will be power law, many of the degree distributions of observed networks will be heavy-tailed or long-tailed distributions. A heavy-tailed distribution is a distribution that is “heavier” than the exponential distribution. Here...

We propose an analytically tractable model of loading-dependent cascading failure that captures some of the salient features of large blackouts of electric power transmission systems. This leads to a new application and derivation of the quasibinomial distribution and its generalization to a saturating form with an extended parameter range. The saturating quasibinomial distribution of the numbe...

A dynamical analogy supported by five scale-free statistics (the Gutenberg-Richter distribution of event sizes, the distribution of interevent intervals, the Omori and inverse Omori laws, and the conditional waiting time until the next event) is shown to exist between two classes of seizures ("focal" in humans and generalized in animals) and earthquakes. Increments in excitatory interneuronal c...

the effect of partial slip and temperature dependent fluid properties on the mhd mixed convection flow from a heated, non-linearly stretching surface in the presence of radiation and non-uniform internal heat generation/absorption is investigated. the velocity of the stretching surface was assumed to vary according to power-law form. thermal transport is analyzed for two types of non-isothermal...

It is well known that many ranked linguistic data can fit well with one-parameter models such as Zipf’s law for ranked word frequencies. However, in cases where discrepancies from the one-parameter model occur (these will come at the two extremes of the rank), it is natural to use one more parameter in the fitting model. In this paper, we compare several two-parameter models, including Beta fun...

The Weibull distribution has received much interest in reliability theory. well-known maximum likelihood estimators (MLE) of this fam ily are not available closed form expression. In work, we propose a consistent and estimator for shape parameter three-parameter distribution. Apart from high degree performance, the derived is location scale-invariant.

We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of {1, . . . , L} into disjoint intervals. Each interval can either split or merge with one of its two neighbors. The invariant measure can be seen as the Gibbs measure for a homogeneous pinning model [9]. Depending on a parameter λ, the typical configuration can be either dominated by a single big in...

The main goal of this study is the use of Lyapunov’s stability theory to a three-phase four-wire shunt active power filter (SAPF), since this method has been applied effectively to other areas of converter. The dynamic model of the SAPF is first established, after that, a combination of fuzzy tracking control and Lyapunov function is suggested in order to impose a desired transient waveform on ...

The citations to a set of academic articles are typically unevenly shared, with many articles attracting few citations and few attracting many. It is important to know more precisely how citations are distributed in order to help statistical analyses of citations, especially for sets of articles from a single discipline and a small range of years, as normally used for research evaluation. This ...