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Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors

S.P. Ahmad1 , Kawsar Fatima2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.116-122, Dec-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.116122


Online published on Dec 31, 2018


Copyright © S.P. Ahmad, Kawsar Fatima . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: S.P. Ahmad, Kawsar Fatima, “Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.116-122, 2018.

MLA Style Citation: S.P. Ahmad, Kawsar Fatima "Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 116-122.

APA Style Citation: S.P. Ahmad, Kawsar Fatima, (2018). Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 116-122.

BibTex Style Citation:
@article{Ahmad_2018,
author = {S.P. Ahmad, Kawsar Fatima},
title = {Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {116-122},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=982},
doi = {https://doi.org/10.26438/ijcse/v5i6.116122}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.116122}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=982
TI - Approximation Techniques for Estimation of Parameters of Rayleigh Lomax Distribution under Different Priors
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S.P. Ahmad, Kawsar Fatima
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 116-122
IS - 6
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this paper Bayes estimators for the parameter of Rayleigh Lomax (RL) distribution are obtained by using Bayesian approximation techniques like normal and T-K approximations. Moreover different single, double and triple priors have been considered. Also, simulation data sets have been considered to study the efficiency of obtained results using R- software.

Key-Words / Index Term :
Rayleigh Lomax distribution, priors, normal approximation, T-K approximation

References :
[1] K. Fatima, S.P. Ahmad (2018). “Bayesian Approximation Techniques of Inverse Rayleigh Distribution.” Research & Reviews: Journal of Statistics, 2018; 7(1): 50–59.
[2] A.Ahmed,, A.A. Khan, S.P. Ahmad(2007). “Bayesian Analysis of Exponential Distribution in S-PLUS and R-Software’s”. Sri Lankan Journal of Applied Statistics, 8, 95-109.
[3] S. P. Ahmad , A. Ahmed, A. A. Khan. (2011).“Bayesian Analysis of Gamma Distribution Using S-PLUS and R-Softwares.”Asian Journal of Mathematics and Statistics4, 224-233.
[4] H. Sultan, S.P. Ahmad( 2015). “Bayesian approximation techniques of Topp-Leone distribution.” International Journal of Statistics and Mathematics, 2(1): 066-070.
[5] A. Afaq, K. Fatima, S.P. Ahmad. (2017). “Lindley Approximation Technique for the Parameters of Lomax Distribution”. International Journal of Statistics in Medical Research, 6(4): 162-168.
[6] K. Fatima, S.P. Ahmad and T.A. Chishti (2017). “Posterior Estimates of Exponentiated Minimax Distribution under Different Priors. “Journal of Reliability and Statistical Studies, 10(1), 97-111.
[7] K. Fatima, U. Jan and S.P. Ahmad (2018). “Statistical Properties of Rayleigh Lomax distribution with applications in Survival Analysis”. Journal of Data Science, 16(3), 531-548.
[8] L. Tierney, J. Kadane. (1986).“Accurate Approximations for Posterior Moments and Marginal Densities.” Journal of the American Statistical Association, 81, 82-86.

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