Fisher information in progressive hybrid censoring schemes

The hybrid censoring scheme, which is a mixture of Type-I and Type-II censoring schemes, has been extended to the case of progressive censoring schemes by Kundu and Joarder [Analysis of Type-II progressively hybrid censored data, Comput. Stat. Data Anal. 50 (2006), pp. 2509–2528] and Childs et al. [Exact likelihood inference for an exponential parameter under progressive hybrid censoring schemes, in Statistical Models and Methods for Biomedical and Technical Systems, F. Vonta, M. Nikulin, N. Limnios, and C. Huber-Carol, eds., Birkhäuser, Boston, MA, 2007, pp. 323–334]. In this paper, we derive a simple expression for the Fisher information contained in Type-I and Type-II progressively hybrid censored data. An illustrative example is provided applicable to a scaled-exponential distribution to demonstrate our methodologies.

[1]  Narayanaswamy Balakrishnan,et al.  Fisher information based progressive censoring plans , 2008, Comput. Stat. Data Anal..

[2]  Marco Burkschat.  On optimality of extremal schemes in progressive type II censoring , 2008 .

[3]  Narayanaswamy Balakrishnan,et al.  Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring , 2004 .

[4]  N. Balakrishnan,et al.  Progressive Censoring: Theory, Methods, and Applications , 2000 .

[5]  Debasis Kundu,et al.  Analysis of Type-II progressively hybrid censored data , 2006, Comput. Stat. Data Anal..

[6]  Narayanaswamy Balakrishnan,et al.  Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes , 2008 .

[7]  Narayanaswamy Balakrishnan,et al.  Optimal Progressive Censoring Plans for the Weibull Distribution , 2004, Technometrics.

[8]  H. N. Nagaraja,et al.  Order Statistics, Third Edition , 2005, Wiley Series in Probability and Statistics.

[9]  Narayanaswamy Balakrishnan,et al.  Progressive censoring methodology: an appraisal , 2007 .

[10]  Herbert A. David,et al.  Order Statistics , 2011, International Encyclopedia of Statistical Science.

[11]  Narayanaswamy Balakrishnan,et al.  On simple calculation of the Fisher information in hybrid censoring schemes , 2009 .

[12]  G. K. Bhattacharyya,et al.  Exact confidence bounds for an exponential parameter under hybrid censoring , 1987 .

[13]  Debasis Kundu,et al.  Hybrid censoring schemes with exponential failure distribution , 1998 .

[14]  Sangun Park,et al.  On the Fisher Information in Multiply Censored and Progressively Censored Data , 2004 .

[15]  Narayanaswamy Balakrishnan,et al.  Fisher information in hybrid censored data , 2008 .

[16]  Shuyuan He,et al.  Fisher information in censored data , 2005 .

[17]  N. Balakrishnan,et al.  Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution , 2003 .

[18]  B. Epstein.  Truncated Life Tests in the Exponential Case , 1954 .

[19]  Udo Kamps,et al.  On distributions Of generalized order statistics , 2001 .

[20]  Abbas Rasouli,et al.  Exact likelihood inference based on an unified hybrid censored sample from the exponential distribution , 2008 .