In this paper, we derive the distribution of life length of a parallel system with random number of components when the life distribution of each component follows a Weibull distribution and the number of components follows a Poisson distribution truncated at zero. For two independent such...

Maximum likelihood parameter estimation becomes easy by augmenting the parameter space of the probability distribution. A newly proposed extended model of the four-parameter generalized gamma distribution includes the three-parameter generalized extreme-value distribution which includes the...

In this paper, we propose a new method for the estimation of parameters of the three-parameter Weibull distribution. The method is based on a data transformation, which avoids the problem of unbounded likelihood. In the proposed method, under mild conditions, the estimates always exist uniquely...

We compare the small sample performance (in terms of bias and root mean squared error) of L-moment estimator of 3-parameter Weibull distribution with Maximum likelihood Estimation (MLE), Moment Estimation (MoE), Least squared estimation (LSE), the Modified MLE (MMLE), Modified MoE (MMoE), and...

This paper aims to analyze the characteristic of wind speed data in Al-Salman site - Iraq using Weibull distribution. Maximum likelihood method (MLM) was used to find out two essential Weibull parameters. The best wind distribution was described by using probability density function and...