We study the gamma-exponentiated Weibull distribution which includes as special cases several models such as the exponential, Weibull, exponentiatedWeibull, gamma-exponentiated exponential and exponentiated exponential distributions. This new distribution might be useful for failure time data analysis. We demonstrate that its density function is an infinite linear combination of Weibull densiti...

The Weibull distribution has been previously applied to the mechanical and dieiectric failures of ceramics. In this paper, it is confirmed by experiment that this data treatment method is also valid for application in the dielectric failure of multilayer ceramic capacitors (MLCs) which have undergone screening. The Weibull modulus is found to be a useful parameter indicating the sharpness of th...

Starting from on a recently introduced Gaussian class bivariate Weibull stochastic model, the probability density and the cumulative distribution functions of the product (Z1 Z2) c and the ratio (Z1/Z2) c, when Z1 and Z2 are correlated Weibull random variables belonging to this class (c > 0), are derived in closed form. Moreover, using the inequality between arithmetic and geometric mean, a uni...

The authors will demonstrate how a major Chemical Process company has successfully utilized this new technique to answer questions such as: 1. Do I have a reliability problem or a production problem? 2. What is the demonstrated capacity of my plant? 3. What are efficiency/utilization losses costing me? 4. What is the reliability of my process plant? The Weibull technique described has helped th...

The distribution of earthquake interevent times is a subject that has attracted much attention in the statistical physics literature [1-3]. A recent paper proposes that the distribution of earthquake interevent times follows from the the interplay of the crustal strength distribution and the loading function (stress versus time) of the Earth’s crust locally [4]. It was also shown that the Weibu...

Weibull mixtures have been used extensively in reliability and survival analysis, and they have also been generalized by allowing negative mixing weights, which arise naturally under the formation of some structures of reliability systems. These models provide exible distributions for modelling dependent lifetimes from heterogeneous populations. In this paper, we study conditions on the mixing ...

By means of Weibull analysis, this study evaluated and compared the flexural strength and shear bond strength of flowable light-cured composites against those of conventional ones. Twenty specimens of each material were prepared for flexural and shear bond strength measurements. Specimens were measured after water storage at 37 degrees C for 24 hours. Three of four flowable composites showed si...

The failure rate analysis of brake assemblies of a commercial airplane, i.e., Boeing 737, is analyzed using the artificial neural network and Weibull regression models. One-layered feed-forward back-propagation algorithm for artificial neural network whereas three parameters model for Weibull are used for the analysis. Three years of data are used for model building and validation. The results ...