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...

Weibull distribution was used to fit tree diameter data collected from 86 sample plots located in Chinese pine stand in Beijing. To estimate the Weibull distribution parameters, three methods [namely maximum likelihood estimation method (MLE), method of moment (MOM) and least-squares regression method (LSM)] were compared and evaluated on the basis of the mean square error (MSE) and sample size...

Objective: Simvastatin is lipid lowering agent that reduces the risk of total mortality and morbidity. For such a sensitive medicine, the availability of un-control brands, local and multinational is a point of thought. The objective of this study was to provide a comparative assessment of dissolution profile of six different brands of Simvastatin by applying dissolution profile comparison appr...

In assessing the insulation withstand level of the electric apparatus, the step-up test method is used. However, we have still many unknown matters regarding the treatment of the results. In this paper, we assume that the underlying probability distribution of failure time with a constant voltage level follows a Weibull distribution and that an inverse power law relationship between the mean li...

Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optic...