this Book Combines The Authors' Experiences On The Topic And Brings Out A Wealth Of New Information Relevant To The Study Of Meta-analysis. Applications Ranging From Business To Education To Environment To Health Sciences In Both Univariate And Multivariate Cases Are Presented Alongside And Subservi
Estimation of a common mean of several univariate inverse Gaussian populations
โ Scribed by Manzoor Ahmad; Y. P. Chaubey; B. K. Sinha
- Publisher
- Springer Japan
- Year
- 1991
- Tongue
- English
- Weight
- 549 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0020-3157
No coin nor oath required. For personal study only.
โฆ Synopsis
The problem of estimating the common mean ~ of k independent and univariate inverse Gaussian populations IG(#, Ai), i = 1,..., k with unknown and unequal A's is considered. The difficulty with the maximum likelihood estimator of ]~ is pointed out, and a natural estimator/5 of/~ along the lines of Graybill and Deal is proposed. Various finite sample properties and some decision-theoretic properties of ~ are discussed.
๐ SIMILAR VOLUMES
Consider the problem of estimating the common mean of several normal populations with unknown and possibly unequal variances under the squared error loss function. The well-known unbiased estimator of the common mean is the Graybill-Deal estimator. The general admissibility (or otherwise) of this es