Fisher information and optimal schemes in progressive Type-II censored samples

Article type: Research Article

Authors: Abo-Eleneen, Z.A.

Affiliations: Department of Mathematics, Scientific Department, Education College for Girls, Al-Montazah, Buraydah 51431, Al Qassim, P. O. 1300, Saudi Arabia. E-mail: [email protected]

Abstract: This article deals with two results for the computation of the Fisher information (FI) in progressive Type-II censored data; the results simplifies the calculation of the FI in any progressive censored data. The FI is presented as a sum of the FI in the smallest order statistics. The results are used to obtain the optimal censoring schemes in the progressive Type-II censored data for two optimality criteria that are based on the inverse of the exact FI. The methodology is illustrated with the normal and the Weibull distributions, which are popular models in the lifetime analysis.

Keywords: Progressive Type-II censoring, Fisher information, censoring scheme

DOI: 10.3233/MAS-2007-2306

Journal: Model Assisted Statistics and Applications, vol. 2, no. 3, pp. 153-163, 2007