Probability distributions perform a very significant role in the field of applied sciences, particularly reliability engineering. Engineering data sets are either negatively or positively skewed and/or symmetrical. Therefore, flexible distribution is required that can handle such sets. In this paper, we propose new family lifetime to model aforementioned This proposed known as “New Modified Exp...

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...

as is well known, estimating parameters of the tree-parameter weibull distribution is a complicated task and sometimes contentious area with several methods vying for recognition. weibull distribution involves in reliability studies frequently and has many applications in engineering. however estimating the parameters of weibull distribution is crucial in classical ways. this distribution has t...

We exhibit a new stability property of Weibull tail-distributions. It is shown that the power of a random variable with a Weibull tail-distribution still has a Weibull tail-distribution and the associated Weibull tail-coefficient is exhibited. Weibull tail-distributions are defined through their distribution function by:

For β = 1 the Weibull distribution coincides with the exponential distribution with mean α. In general, α represents the .632-quantile of the Weibull distribution regardless of the value of β since Fα,β(α) = 1 − exp(−1) ≈ .632 for all β > 0. Figure 1 shows a representative collection of Weibull densities. Note that the spread of the Weibull distributions around α gets smaller as β increases. Th...

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...

As is well known, estimating parameters of the tree-parameter weibull distribution is a complicated task and sometimes contentious area with several methods vying for recognition. Weibull distribution involves in reliability studies frequently and has many applications in engineering. However estimating the parameters of Weibull distribution is crucial in classical ways. This distribution has t...