4,929 research outputs found
Inference on the Parameters of the Weibull Distribution Using Records
The Weibull distribution is a very applicable model for the lifetime data. In
this paper, we have investigated inference on the parameters of Weibull
distribution based on record values. We first propose a simple and exact test
and a confidence interval for the shape parameter. Then, in addition to a
generalized confidence interval, a generalized test variable is derived for the
scale parameter when the shape parameter is unknown. The paper presents a
simple and exact joint confidence region as well. %for the scale and shape
parameters. In all cases, simulation studies show that the proposed approaches
are more satisfactory and reliable than previous methods. All proposed
approaches are illustrated using a real example.Comment: Accepted for publication in SOR
Some Extended Classes of Distributions: Characterizations and Properties
Based on a simple relationship between two truncated moments and certain functions of the th order statistic, we characterize some extended classes of distributions recently proposed in the statistical literature, videlicet Beta-G, Gamma-G, Kumaraswamy-G and McDonald-G. Several properties of these extended classes and some special cases are discussed. We compare these classes in terms of goodness-of-fit criteria using some baseline distributions by means of two real data sets
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