The Weibull distribution has wide applications, particularly in life distribution. There exists a large body of literature on statistical methods based on the Weibull distribution, but most of the methods require numerical integration or Monte Carlo methods to develop the confidence intervals for model parameters. The reason for the large volume of methods revolves around the fact that there is...

Recently, a new entropy based divergence measure has been introduced which is much like Kullback-Leibler divergence. This entropy measures the distance between an empirical and a prescribed survival function and is a lot easier to compute in continuous distributions than the K-L divergence. In this paper we show that this distance converges to zero with increasing sample size and we apply it to...

Two important wood properties are the modulus of elasticity (MOE) and the modulus of rupture (MOR). In the past, the statistical distribution of the MOE has often been modeled as Gaussian, and that of the MOR as lognormal or as a twoor three-parameter Weibull distribution. It is well known that MOE and MOR are positively correlated. To model the simultaneous behavior of MOE and MOR for the purp...

‎A conditional test based on quadratic form using type-2 censored sample for testing exponentiality against Weibull alternative is proposed‎. ‎The simulated percentage points and powers are given‎. ‎The proposed test performs well for identifying Weibull DFR alternative even for small sample‎. ‎An example is also given.

We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...

Currently, from the statistical analysis of accidents at home and abroad, the number of automobile defects and the resulting automobile accidents are very large. Obviously, the automobile defects have become one of the main factors affecting traffic safety, and risk assessment as an automobile key technical defect of risk management, the elimination of defects and reduce automobile accidents ar...

Abstract The existing truncated variable method to generate random variate cannot be applied when indeterminacy is presented in either the parameters or observations. This paper addresses simulation under indeterminate environment. will introduced using DUS-neutrosophic Weibull distribution. algorithm and generation. Extensive tables for various values of variables are presented. proposed study...

Digital watermarks are usually embedded in the still images’ frequency domain. The DWT/DCT coefficients are usually modelled by the Generalized Gaussian Distribution, while the DFT coefficients are modelled by the Weibull Distribution. The idea of this paper is to use statistical properties of the host signal. The watermark is embedded through the modification of the distribution of host signal...