On optimal schemes in progressive censoring

Burkschat, Marco; Cramer, Erhard; Kamps, Udo

doi:10.1016/j.spl.2005.12.011

Cited by 57 publications

(23 citation statements)

References 11 publications

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“…Best linear unbiased and various other linear estimators based on progressively Type-II right censored samples have been studied for a variety of distributions by a number of authors including Mann (1969Mann ( , 1971, Thomas and Wilson (1972), Cacciari and Montanari (1987), Montanari and Cacciari (1988), Balakrishnan and Sandhu (1996), Balakrishnan and Rao (1997), Aggarwala and Balakrishnan (1998), Balakrishnan and Aggarwala (2000), , and Burkschat et al (2006).…”

Section: Some Further Results Have Been Obtained Bymentioning

confidence: 99%

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Progressive censoring methodology: an appraisal

Balakrishnan

2007

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Section: Some Further Results Have Been Obtained Bymentioning

confidence: 99%

“…, R m ), and tables were presented for different distributions and various choices of m and n. But this approach becomes infeasible for large sample sizes. Burkschat et al (2006) considered a general family of distributions…”

Section: Optimal Progressive Censoringmentioning

confidence: 99%

Progressive censoring methodology: an appraisal

Balakrishnan

2007

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193

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“…Use the definitions of and entropy measures together with (6) and (2) to get (8) and (10). In (8) and (10), put , and , i.e.…”

Section: Proofmentioning

confidence: 99%

On Optimal Designs of Some Censoring Schemes

Awad

2016

Pak.j.stat.oper.res.

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The main objective of this paper is to explore suitability of some entropy-information measures for introducing a new optimality censoring criterion and to apply it to some censoring schemes from some underlying life-time models. In addition, the paper investigates four related issues namely; the effect of the parameter of parent distribution on optimal scheme, equivalence of schemes based on Shannon and Awad sup-entropy measures, the conjecture that the optimal scheme is one stage scheme, and a conjecture by Cramer and Bagh (2011) about Shannon minimum and maximum schemes when parent distribution is reflected power. Guidelines for designing an optimal censoring plane are reported together with theoretical and numerical results and illustrations.

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“…Based on these results, Cramer and Kamps (2001a) establish confidence intervals. Explicit representations for the estimators like those given in (1) and (2) can be applied to identify optimal censoring schemes (see, e.g., Balakrishnan and Aggarwala 2000;Burkschat et al 2006Burkschat et al , 2007.…”

Section: Inferencementioning

confidence: 99%

Comments on: Progressive censoring methodology: an appraisal

Kamps

Cramer

2007

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Since the mid-90s, when Dr. Balakrishnan together with coauthors Sandhu 1995, 1996; Viveros and Balakrishnan 1994) revisited progressive censoring, a huge number of papers were published dealing with both theoretical and practical aspects. It is one of Dr. Balakrishnan's major scientific merits to reconsider the model of progressive censoring, to see the potential in it, and to advance the methods and properties. His contributions illustrate that progressively Type II censored order statistics are a very useful and powerful model. They lead to a toolbox of properties and statistical procedures, which make the model really applicable. His monograph (Balakrishnan and Aggarwala 2000) on this topic jointly written with R. Aggarwala clearly remains a basic reference work. Now Dr. Balakrishnan provides us with an excellent up-to-date survey on progressive censoring. It impressively illustrates, what has been established in the last decade. We are very pleased to comment on selected topics and to supplement this work, which, of course, can not be exhaustive in some 40 pages. We refer to Dr. Balakrishnan's paper by [B], throughout. Model and distribution theoryThe author points out that progressively Type II censored order statistics are a particular case of generalized order statistics (see Kamps 1995) choosing γ r = k + m − r + m−1 j =r R j , 1 ≤ r ≤ m and k = R m + 1. Hence, the distribution of any choice of progressively Type II censored order statistics can be viewed as a marginal distribution of respective generalized order statistics (see, e.g., (2) in [B]). Thus, the results This comment refers to the invited paper available at: http://dx.

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On optimal schemes in progressive censoring

Cited by 57 publications

References 11 publications

Progressive censoring methodology: an appraisal

Progressive censoring methodology: an appraisal

On Optimal Designs of Some Censoring Schemes

Comments on: Progressive censoring methodology: an appraisal

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