American Journal of Theoretical and Applied Statistics
Volume 5, Issue 5, September 2016, Pages: 305-310
Received: Jul. 3, 2016;
Accepted: Jul. 19, 2016;
Published: Sep. 21, 2016
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Shakila Bashir, Department of Statistics, Forman Christian College a Chartered University, Lahore, Pakistan
Mujahid Rasul, Department of Statistics, Forman Christian College a Chartered University, Lahore, Pakistan
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.
Some Properties of the Size-Biased Janardan Distribution, American Journal of Theoretical and Applied Statistics.
Vol. 5, No. 5,
2016, pp. 305-310.
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