Estimation of the Burr-XII distribution for partially accelerated life tests using censored data

Article type: Research Article

Authors: Abdel-Ghaly, Abdalla A. | Amin, Zeinab H. | Omar, Dalia A.^{; *}

Affiliations: Department of Statistics, Faculty of Economics and Political Sciences, Cairo University, Cairo, Egypt

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: Estimation concerning the parameters of the Burr type XII distribution is discussed for both step and constant stress partially accelerated life tests for types I and II censored samples. Maximum likelihood estimators and their asymptotic variances are developed for the parameters of the distribution as well as for the acceleration factor. Illustrative examples are provided. A simulation study is presented to investigate the efficiency of maximum likelihood estimates under the different sampling schemes for various sizes of the sample.

Keywords: Step stress, constant stress, partially accelerated life tests, type I censoring, type II censoring, Burr type XII distribution, maximum likelihood estimation, Newton-Raphson algorithm

DOI: 10.3233/MAS-2008-3404

Journal: Model Assisted Statistics and Applications, vol. 3, no. 4, pp. 317-334, 2008