Usually, the parameters of a Weibull distribution are estimated by maximum likelihood estimation. To reduce the biases of the maximum likelihood estimators (MLEs) of two-parameter Weibull distributions, we propose analytic bias-corrected MLEs. Two other common estimators of Weibull distributions, least-squares estimators and percentiles estimators, are also introduced. Based on a comparison of ...

Many studies have considered a truncated and censored samples which are type-I, type-II and hybrid censoring scheme. The inverse Weibull distribution has been utilized for the analysis of life testing and reliability data. Also, this distribution is a very flexible distribution. The inverse Rayleigh distribution and inverse exponential distribution are a special case of the inverse Weibull dist...

The Weibull distribution is a flexible statistical model for describing multipath fading channels in both indoor and outdoor radio propagation environments. A new closed-form expression is derived for the moment generating function of the Weibull distribution, valid when its fading parameter assumes integer values. The performance of digital linear modulations operating on Weibull channels is s...

In modeling the rate of return associated with financial instruments, common probability distributions include the lognormal, gamma, and Weibull distributions. Furthermore, the method of maximum likelihood is widely used to estimate the unknown parameters of distributions due to the highly desirable properties of maximum likelihood estimators (MLEs). These properties include asymptotic unbiased...

Bathtub shape is one of the most important behaviors of the hazard rate function that is quite common in lifetime data analysis. Such shapes are actually the combination of three different shapes and, as such, there have been several proposals to model such behavior. One such proposal is to combine at most three different distributions, often the Weibull or some similar model, separately for de...

This report explains Weibull plotting and its rationale. It shows how the two Weibull parameter estimates are easily read off from the Weibull plot. The use of Weibull plotting is introduced first in the context of complete samples and then extended to two common forms of censoring: type I or multiple censoring and type II censoring. Two blank Weibull plotting templates are provided, one for a ...

Modelling daily wind speed data by using the two parameter Weibull distribution for ten selected weather stations in Sri Lanka is presented. The daily wind speed data measured by the Department of Meteorology at the heights of 6m-15m during the years 2001 and 2004 were used in this work. The annual variation of the fitted Weibull parameters, the shape parameter k and the scale parameter c range...

Original scientific paper The wireless telecommunication system consisting of selection combining (SC) receiver which works in Gamma shadowed Weibull multiple-faded channel is discussed in this work. The received signal suffers Weibull small scale fading which leads in variation of the signal envelope and Gamma large scale fading which results in variation of the SC receiver output signal envel...

The theoretical study of the effect of Corticosterone release scores was determined. Formulae of fuzzy two parameter Weibull distribution, fuzzy Survival and fuzzy hazard rate function and its α-cut sets were presented. Using fuzzy survival and hazard rate model based on two parameter Weibull distributions, we showed that in the test termination, if the fuzzy Survival value increases then the f...