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...

：A new distribution called the exponentiated Burr XII Weibull(EBW) distributions is proposed and presented. This contains several known such as log-logistic Weibull, Rayleigh, exponential, Lomax Exponential, Rayleigh exponential special cases. A comprehensive investigation of properties this generalized including series expansion probability density function cumulative function, hazard reverse ...

This article discusses the dynamics of a diameter distribution in stands of black wattle throughout its growth cycle using the Weibull probability density function. Moreover, the parameters of this distribution were related to environmental variables from meteorological data and surface soil horizon with the aim of finding a model for diameter distribution which their coefficients were related ...

The Weibull-inverse exponential-loglogistic distribution which is abbreviated as (Weibull-IE-loglogistc) a member of the neotric T- inverse exponential family introduced previously by authors. Properties this such (mode, quantile function, median, hazard survival moments, order statistics and Shannon’s entropy) are derived, maximum likelihood estimates its parameters obtained. usefulness neoter...

Lower bounds are typically used to evaluate the performance of heuristics for solving combinatorial minimization problems. In the absence of tight analytical lower bounds, optimal objective-function values may be estimated statistically. In this paper, extreme value theory is used to construct confidence-interval estimates of the minimum makespan achievable when scheduling nonsimilar groups of ...

We introduce a method to combine the color channels of an image to a scalar valued image. Linear combinations of the RGB channels are constructed using the Fisher-Trace-Information (FTI), defined as the trace of the Fisher information matrix of the Weibull distribution, as a cost function. The FTI characterizes the local geometry of the Weibull manifold independent of the parametrization of the...

For large-scale dynamic railway traffic control systems, the reliability analysis and risk assessment are important for system evaluation, decision making and enforcement of performance-based safety-critical standards. The Axiomatic SafetyCritical Assessment Process (ASCAP) developed at the University of Virginia’s Center of Rail Safety-Critical Excellence provides a dynamic Monte Carlo simulat...

The number of failures plays an important factor in the study maintenance strategy a manufacturing system. In real situation, this is often affected by some uncertainties. Many uncertainties fall into possibilistic uncertainty, which are different from probabilistic uncertainty. This uncertainty commonly modeled applying fuzzy theoretical framework. paper aims to compute for system has Weibull ...

For β = 1 the Weibull distribution coincides with the exponential distribution with mean α. In general, α represents the .632-quantile of the Weibull distribution regardless of the value of β since Fα,β(α) = 1 − exp(−1) ≈ .632 for all β > 0. Figure 1 shows a representative collection of Weibull densities. Note that the spread of the Weibull distributions around α gets smaller as β increases. Th...