Smart grids have been constructed so as to guarantee the security and stability of the power grid in recent years. Power transformers are a most vital component in the complicated smart grid network. Any transformer failure can cause damage of the whole power system, within which the failures caused by overloading cannot be ignored. This research gives a new insight into overload capability ass...

The fracture strength of ultrananocrystalline diamond ~UNCD! has been investigated using tensile testing of freestanding submicron films. Specifically, the fracture strength of UNCD membranes, grown by microwave plasma chemical vapor deposition ~MPCVD!, was measured using the membrane deflection experiment developed by Espinosa and co-workers. The data show that fracture strength follows a Weib...

In this paper we derive a statistical law of Life. It governs the probability of death (or complementary of survival) of the living organisms. We have deduced such a law coupling the widely used Weibull (1951) statistics, developed for describing the distribution of the strength of solids, with the “universal” model for ontogenetic growth only recently proposed by West and co-authors (2001). Th...

In wood engineering, lower quantile estimation is vital to the safety of the construction with wood materials. In this thesis, we will first study the censored Weibull maximum likelihood estimate (MLE) of the lower quantile as in the current industrial standard D5457 (ASTM, 2004a) from a statistical point of view. According to our simulations, the lower quantile estimated by the censored Weibul...

The paper provides to reliability practitioners with a method (1) to estimate the robust Weibull family when the Taguchi method (TM) is applied, (2) to estimate the normal operational Weibull family in an accelerated life testing (ALT) analysis to give confidence to the extrapolation and (3) to perform the ANOVA analysis to both the robust and the normal operational Weibull family. On the other...

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...

In the present study an effort has been made to find out the best fitting distribution of wind speed data recorded in Islamabad on a daily basis for the years 2001 to 2003. For this purpose two parameter Gamma, Weibull, Lognormal, Rayleigh, three parameter Burr and Frechet distributions are fitted to data and parameters for each distribution are estimated using the Maximum Likelihood (ML) metho...