The Weibull probability distribution has been widely applied to characterize wind speeds for wind energy resources. Wind power generation modeling is different, however, due in particular to power curve limitations, wind turbine control methods, and transmission system operation requirements. These differences are even greater for aggregated wind power generation in power systems with high wind...

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...

Introduction: Diversity is an effective and widely used technique for mitigating the effects of multipath fading [1]. Among the well-known diversity techniques, switched and stay combining (SSC) is simple and cheap, though less efficient. In a dual-branch SSC receiver, if the instantaneous signal-to-noise ratio (SNR) of the first branch falls below a predefined switching threshold, the second b...

noconstant suppress constant term distribution(exponential) exponential survival distribution distribution(gompertz) Gompertz survival distribution distribution(loglogistic) loglogistic survival distribution distribution(llogistic) synonym for distribution(loglogistic) distribution(weibull) Weibull survival distribution distribution(lognormal) lognormal survival distribution distribution(lnorma...

For Modified-Weibull distribution we have obtained the Bayes Estimators of scale and shape parameters using Lindley's approximation (L-approximation) under various loss functions. The proposed estimators have been compared with the corresponding MLE for their risks based on corresponding simulated samples. Key-Words: Bayesian estimation, Lindley's approximation, Maximum likelihood estimates, Mo...

t A mixture parametric model is used to analyze the changing pattern of Taiwanese mortality from 1926 to 1991. Three different age ranges are modeled as mixtures of extreme value distributions, namely the Weibull, inverse Weibull, and Gompertz distributions. The results show a significant improvement of mortality over the years.

We derive a closed form solution for the Kullback-Leibler divergence between two Weibull distributions. These notes are meant as reference material and intended to provide a guided tour towards a result that is often mentioned but seldom made explicit in the literature. 1 The Weibull Distribution TheWeibull distribution is the type III extreme value distribution; its probability density functio...

Modifying the existing probability models in literature and introducing new extensions of is a prominent interesting research topic. However, most recent era, via trigonometry methods have received great attention. This paper also offers novel trigonometric version Weibull model called alpha power cosine-Weibull (for short, “NACos-Weibull”) distribution. The NACos-Weibull distribution introduce...

We present a new family of estimators of the Weibull tail-coefficient. The Weibull tail-coefficient is defined as the regular variation coefficient of the inverse failure rate function. Our estimators are based on a linear combination of log-spacings of the upper order statistics. Their asymptotic normality is established and illustrated for two particular cases of estimators in this family. Th...