A Monte Carlo method for computing the bias and standard deviation of estimates of the parameters of a psychometric function such as the WeibulllQuick is described. The method, based on Efron's parametric bootstrap, can also be used to estimate confidence intervals for these parameters. The method's ability to predict bias, standard deviation, and confidence intervals is evaluated in two ways. ...

In this article, a four parameter lifetime model called the Topp–Leone modified Weibull distribution is proposed. The suggested can be considered as an alternative to Kumaraswamy Weibull, generalized extend odd Lomax, Weibull-Lomax, Marshall-Olkin alpha power extended and exponentiated exponential distributions, etc. includes Topp-Leone Linear failure rate, Rayleigh distributions special case. ...

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 ...

The idea of using kernel functions combined with distributions to propose new has recently been used suggest continuous distributions. This article the Epanechnikov function Weibull distribution produce Epanechnikov-Weibull (EWD). We have presented some properties EWD, like moments, MLEs, reliability analysis functions, Rényi entropy and quantile function. estimated model parameters maximum lik...

This paper introduces a new family of distributions defined in terms quantile function. The function introduced here is the sum functions life time called Burr III and Weibull. Different distributional characteristics reliability properties are included study. Method Least Square L-moments applied to estimate parameters model. Two real data sets used illustrate performance

When experimental units, on a cross-sectional or a longitudinal study, are followed up periodically, the event(s) of interest may only be known to have occurred between two dates of follow-up. In this case data are usually presented in form of counts of events in each of the follow-up intervals (grouped data). Furthermore, in studies of survival, subjects may be at risk of failure due to more t...

  Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...

Splashing of splat particles is one of the most important phenomena in industrial processes such as thermal spray coating. The data relative to the degree of splashing of splats sprayed with a normal angle are commonly characterized by the Weibull distribution function. In this present study, an effort has been made to show that the Burr distribution is better than the Weibull distribution for ...

A finite mixture model is used to describe the diameter distributions of mixed-species forest stands. A three-parameter Weibull function is assumed as the component probability density function in the finite mixture model. Four example plots, each with two species, are selected to demonstrate model fitting and comparison. It appears that the finite mixture model is flexible enough to fit irregu...