Bayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances

Peter M Mphekgwana; Yehenew G Kifle; Chioneso S Marange

doi:10.3329/ijss.v24i20.78216

Bayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances

Authors

Peter M Mphekgwana Department of Statistics, Faculty of Science and Agriculture, Fort Hare University, South Africa
Yehenew G Kifle Department of Research Administration and Development, University of Limpopo, South Africa
Chioneso S Marange Department of Mathematics and Statistics, University of Maryland Baltimore County, USA

DOI:

https://doi.org/10.3329/ijss.v24i20.78216

Keywords:

Meta-analysis; Bayes estimation; Common mean; Noninformative prior

Abstract

Combining information from several independent normal populations to estimate a common mean parameter has applications in meta-analysis and is an important statistical problem. For this application, Gregurich and Broemeling (1997) and Tu (2012) concentrated on point estimation employing Bayesian techniques to infer about the common mean of two normal populations with unknown variances. In our study, we expand upon their investigation to encompass k normal populations with a common mean, incorporating a range of objective priors. Through the use of two examples, it is discovered that as the hyperparameter α under a Bayesian framework increases, the performance of the Bayesian technique also improves.

IJSS, Vol. 24(2) Special, December, 2024, pp 81-94

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Published

2024-12-23

How to Cite

Mphekgwana, P. M., Kifle, Y. G., & Marange, C. S. (2024). Bayes Estimation of a Common Mean of Several Normal Populations with Unknown Variances. International Journal of Statistical Sciences , 24(20), 81–94. https://doi.org/10.3329/ijss.v24i20.78216