Reliability for Lindley Distribution with an Outlier

Khamnei, Hossein Jabbari

doi:10.18052/www.scipress.com/BMSA.3.20

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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:

February 2013

Authors:

Hossein Jabbari Khamnei

Keywords:

Lindley Distribution, Maximum Likelihood Estimator, Newton-Raphson Method, Outlier

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Distribution:

Open Access

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Creative Commons Attribution 4.0 International License

References:

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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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