Numerical simulations of time-dependent stochastic failure of fiber network have been performed by using a central-force, triangular lattice model. This two-dimensional (2D) network can be seen as the next level of structural hierarchy to fiber bundles, which have been investigated for many years both theoretically and numerically. Unlike fiber bundle models, the load sharing of the fiber netwo...

The failure rate function and mean residual life function are two important characteristics in reliability analysis. Although many papers have studied distributions with bathtub-shaped failure rate and their properties, few have focused on the underlying associations between the mean residual life and failure rate function of these distributions, especially with respect to their changing points...

We propose an approach to stochastic parameterisation of shallow cumulus clouds to represent the convective variability and its dependence on the model resolution. To collect information about the individual cloud lifecycles and the cloud ensemble as a whole, we employ a large eddy simulation (LES) model and a cloud tracking algorithm, followed by conditional sampling of clouds at the cloud-bas...

In this paper two new fading distributions, the α−η−μ Distribution and α−κ−μ Distribution, are presented. The α − η − μ distribution includes the α − μ, Nakagami-m, Nakagami-q, Weibull, Hoyt, Rayleigh, Exponential, and the OneSided Gaussian distributions as special cases. The α − κ − μ distribution includes the α − μ, Nakagami-m, Weibull, Rice, Rayleigh, Exponential, and the One-Sided Gaussian ...

Constant-stress procedure based on parametric lifetime distribution and model is often used for accelerated life testing in product reliability experiment. Maximum likelihood estimation is the typically statistical inference method. This paper presents a new inference method, named random variable transformation (RVT) method for Weibull constant-stress accelerated life test with progressively T...

A new generalized exponentiated Weibull model called Gumbel-exponentiated {Logistic} distribution is introduced and studied. The distribution extends the exponentiated with additional parameters bimodal densities. Some earlier distributions formed the sub-models of the proposed distribution. mathematical properties distribution including expressions for hazard function, survival moments, ...

Brittle engineering ceramics usually fail due to flaws that are distributed in the material. Their strength depends on the length of the major flaw, which may be different from specimen to specimen, being described by a probability function. If the material exibits a statistical distribution of independent flaws and the weak link hypothesis is fulfilled, i.e., the specimen fails if its weakest ...

In this paper, we provide a unified analysis for wireless system over cascaded fading channels modeled either by cascaded Nakagami-m or Weibull fading models. These cascade fading models are developed by the product of independent Nakagami-m or Weibull random variables, which are not necessary identically distributed. The performance measures such as amount of fading, average bit error rate, an...