Inferences on the common scale parameter of several exponential populations based on the generalized variable method

Article type: Research Article

Authors: Gunasekera, Sumith

Affiliations: Department of Mathematics, University of Tennessee-Chattanooga, Chattanooga, TN 37403, USA. E-mail: Sumith-Gunasekera@utc.edu

Abstract: This article presents procedures for hypothesis testing and interval estimation of the common scale parameter of several exponential populations. The procedures are based on the generalized variable method. The statistical properties of the proposed procedures are evaluated numerically and are compared with those of the existing procedures. An example is cited to demonstrate the advantages of the proposed generalized variable method over the large sample method.

Keywords: Combined tests, generalized tests, generalized confidence interval, exponential distribution, common scale parameter

DOI: 10.3233/MAS-130250

Journal: Model Assisted Statistics and Applications, vol. 8, no. 3, pp. 205-214, 2013