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Reliability for Lindley Distribution with an Outlier

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Abstract:

In this paper, we consider the problem of estimating R=P(Y<X) , when Y has lindleydistribution with parameter a and x has lindley distribution with presence of one outlier withparameters b and c , such that X and Y are independent. The maximum likelihood estimator of R isderived and some results of simulation studies are presented.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 3)
Pages:
20-23
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.3.20
Citation:
H. J. Khamnei "Reliability for Lindley Distribution with an Outlier", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 20-23, 2013
Online since:
Feb 2013
Authors:
Hossein Jabbari Khamnei
Keywords:
Lindley Distribution, Maximum Likelihood Estimator, Newton-Raphson Method, Outlier
Export:
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Deiri, E., (2011). Estimation of P(Y

Deiri, E., (2011), Estimation of P(Y

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Dixit, U.J., Moor, K.L. and Barnett, V. (1996), On the Estimation of the Power of the Scale Parameter of the Exponential Distribution in the Presence of Outlier Generated from Uniform Distribution. Metron, 54, 201-211.

Dixit, U.J. and Nasiri, P.F. (2001), Estimation of Parameters of the Exponential Distribution with Presence of Outliers Generated from Uniform Distribution. Metron, 49(3-4), 187-198.

Jabbari Khamnei, H., Abolhasani, A. and Fathipour, P. (2012), Reliability for Six Parameter Generalized Burr XII Distribution with Transformation Method, Accepted in the Journal of Advances and Applications in Statistics.

Nasiri P.F. and Pazira, H. (2010), Bayesian and Non-Bayesian Estimations on the Generalized Exponential Distribution in the Presence of Outliers, Journal of Statistical Theory and Practice, 4(3), 453-475.

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