Tierney, L. and Kadane, J.B. (1986) Accurate Approximations for Posterior Moments and Marginal Densities. Journal of the American Statistical Association, 81, 82-86.
https://doi.org/10.1080/01621459.1986.10478240

has been cited by the following article:

• TITLE: Bayesian Estimations with Fuzzy Data to Estimation Inverse Rayleigh Scale Parameter

  AUTHORS: Shurooq Ahmed Kareem AL-Sultany

  KEYWORDS: Inverse Rayleigh Distribution, Imprecision Data, Modified Newton Method, Tierney and Kadane’s Approximation

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.9 No.8, August 29, 2019

  ABSTRACT: In this paper, Bayesian computational method is used to estimate inverse Rayleigh Scale parameter with fuzzy data. Based on imprecision data, the Bayes estimates cannot be obtained in explicit form. Therefore, we provide Tierney and Kadane’s approximation to compute the Bayes estimates of the scale parameter under Square error and Precautionary loss function using Non-informative Jefferys Prior. Also, we provide compared numerically through Monte-Carlo simulation study to obtained estimates of the scale parameter in terms of mean squared error values.