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Some Properties of the Size-Biased Janardan Distribution

机译:大小有偏的Janardan分布的一些性质

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Janardan Distribution is one of the important distributions from lifetime models and it has many applications in real life data. A size-biased form of the two parameter Janardan distribution has been introduced in this paper, of which the size-biased Lindley distribution is a special case. Its moments, median, skewness, kurtosis and Fisher index of dispersion are derived and compared with the size-biased Lindley distribution. The shape of the size-biased Janardan distribution is also discussed with graphs. The survival function and hazard rate of the size-biased Janardan distribution have been derived and it is concluded that the hazard rate of the distribution is monotonically increasing. The flexibility in the reliability measures of the size-biased Janardan distribution have been discussed by stochastic ordering. To estimate the parameters of the size-biased Janardan distribution maximum likelihood equations are developed.
机译:Janardan分布是生命周期模型中的重要分布之一,在现实生活数据中具有许多应用。本文介绍了两个参数Janardan分布的大小偏向形式,其中大小偏向的Lindley分布是一个特例。推导其矩,中值,偏度,峰度和费舍尔色散指数,并将其与尺寸偏向的Lindley分布进行比较。还使用图形讨论了尺寸偏向的Janardan分布的形状。推导了偏偏贾纳丹分布的生存函数和危险度,得出该分布的危险度单调增加。通过随机排序讨论了大小偏向的Janardan分布的可靠性度量的灵活性。为了估计尺寸偏倚的贾纳丹分布的参数,建立了最大似然方程。

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