International Journal of Mathematical Sciences and Computing (IJMSC)
IJMSC Vol. 4, No. 2, 8 Apr. 2018
Cover page and Table of Contents: PDF (size: 530KB)
Bayesian Approximation Techniques of Inverse Exponential Distribution with Applications in Engineering
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Author(s)
Kawsar Fatima
1,*
S.P Ahmad
1
Index Terms
Bayesian Estimation, Prior Distribution, Normal Approximation, T-K Approximation
Abstract
The present study is concerned with the estimation of Inverse Exponential distribution using various Bayesian approximation techniques like normal approximation, Tierney and Kadane (T-K) Approximation. Different informative and non-informative priors are used to obtain the Baye’s estimate of Inverse Exponential distribution under different approximation techniques. A simulation study has also been conducted for comparison of Baye’s estimates obtained under different approximation using different priors.
Cite This Paper
Kawsar Fatima, S.P Ahmad,"Bayesian Approximation Techniques of Inverse Exponential Distribution with Applications in Engineering", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.4, No.2, pp.49-62, 2018. DOI: 10.5815/ijmsc.2018.02.05
Reference
[1]Ahmad SP, Ahmad, A, Khan AA. Bayesian Analysis of Gamma Distribution Using SPLUS and R-softwares, Asian J. Math. Stat., 2011; 4: 224-233.
[2]Ahmed AA, Khan AA, Ahmed SP. Bayesian Analysis of Exponential Distribution in S-PLUS and R Softwares, Sri Lankan Journal of Applied Statistics, 2007; 8: 95-109.
[3]Gyan Prakash. Inverted Exponential Distribution under a Bayesian Viewpoint, Journal of Modern Applied Statistical Methods, 2012; Vol. 11, No. 1, 190-202.
[4]Killer, A. Z. and Kamath, A. R. Reliability analysis of CNC machine tools, Reliability Engineering, 1982; 3:449–473.
[5]Lin, C., Duran, B., & Lewis, T. Inverted Gamma as a Life Distribution, Microelectronics and Reliability, 1989; 29(4): 619-626.
[6]Pavur, R. J., Edgeman, R. L. and Scott, R. C. Quadratic statistics for the goodness of fit to test of inverse Gaussian distribution”, IEEE Trans. Reli., 1992;41:118-123.
[7]Sanjay Kumar Singh et. al. On the estimation of stress strength reliability parameter of inverted exponential distribution, International Journal of Scientific World, 2015; 3 (1): 98-112.
[8]Sanku Dey. Inverted Exponential Distribution as a Life Distribution Model from a Bayesian Viewpoint, Data science journal, 2007; 6: 29.
[9]Sultan. H, Ahmad S.P. Bayesian approximation techniques of Topp-leone distribution, International Journal of Statistics and Mathematic, 2015; 2(1): 066-070.
[10]Sultan. H, Ahmad S.P. Bayesian approximation techniques for Kumaraswamy distribution, Mathematical Theory and Modeling, 2015; (5): 2225-0522.
[11]Tierney L, Kadane J. Accurate approximations for posterior moments and marginal densities, Journal of the American Statistical Association, 1986; 81: 82-86.