Lindley Approximation Technique for the Parameters of Lomax Distribution

Authors

  • Afaq Ahmad 1Department of Mathematics, Islamic University of Science & Technology, Awantipoora, Jammu and Kashmir
  • Kawsar Fatima Department of Statistics, University of Kashmir, Srinagar
  • S.P. Ahmad Department of Statistics, University of Kashmir, Srinagar

DOI:

https://doi.org/10.6000/1929-6029.2017.06.04.4

Keywords:

Lomax distribution, Bayesian Estimation, Prior, Loss functions, Lindley’s Approximation.

Abstract

The present study is concerned with the estimation of shape and scale parameter of Lomax distribution using Bayesian approximation techniques (Lindley’s Approximation). Different priors viz gamma, exponential and Levy priors are used to obtain the Bayes estimates of parameters of Lomax distributions under Lindley approximation technique. For comparing the efficiency of the obtained results a simulation study is carried out using R-software.

References

Lomax HS. Business Failures, Another example of the analysis of Failure data. JASA 1954; 49: 847-852. https://doi.org/10.1080/01621459.1954.10501239 DOI: https://doi.org/10.1080/01621459.1954.10501239

Abdullah MA, Abdullah HA. Estimation of Lomax parameters based on Generalized Probability Weighted Moment. JKAU, Sci 2010; (22): 171-184. DOI: https://doi.org/10.4197/sci.22-2.13

Zagan A-A. Lomax distribution and its role in reliability and life testing. Thesis, King Abdul –Alaziz University, Saudia Arabia 1999.

Abd-Elfattah M, Mandouh RM. Estimation of Pr [Y< X] in Lomax case. The 13th Annual Conference in Statistics, Computer Science and Operation Research, ISSR, Cairo University, Egypt, 2004; Part, 1: pp.156-166.

Afaq A, Ahmad SP, Ahmed A. Bayesian Analysis of shape parameter of Lomax distribution under different loss functions. International Journal of Statistics and Mathematics 2015; 2(1): 055-065.

Afaq A, Ahmad SP, Ahmed A. Length Biased Weighted Lomax distribution: Statistical Properties and Application. Pakistan Journal of Statistics and Operation Research 2016; 12(2): 245-255. https://doi.org/10.18187/pjsor.v12i2.1178 DOI: https://doi.org/10.18187/pjsor.v12i2.1178

Uzma J, Ahmad SP. Bayesian Analysis of inverse Lomax distribution using Approximation Technique. Mathematical Theory and Modelling 2017; 7(7).

Lindley DV. Approximate Bayesian Method, Trabajos de Estadistica 1980; 31: 223-237. https://doi.org/10.1007/BF02888353 DOI: https://doi.org/10.1007/BF02888353

Singh SK, Singh U, Gyan PK. Bayes estimator of generalized-exponential parameters under LINEX loss function using Lindley’s approximation. Data Science Journal 2008; 7. https://doi.org/10.2481/dsj.7.65 DOI: https://doi.org/10.2481/dsj.7.65

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Published

2017-12-08

How to Cite

Ahmad, A., Fatima, K., & Ahmad, S. (2017). Lindley Approximation Technique for the Parameters of Lomax Distribution. International Journal of Statistics in Medical Research, 6(4), 162–168. https://doi.org/10.6000/1929-6029.2017.06.04.4

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Section

General Articles