The Art of Progressive Censoring
Applications to Reliability and Quality
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66 Result(s)
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N. Balakrishnan
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
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Article
Planning step-stress test plans under Type-I hybrid censoring for the log-location-scale distribution
The optimal design of a k-level step-stress accelerated life-testing (ALT) experiment with unequal duration steps under Type-I hybrid censoring scheme for a general log-location-scale lifetime distribution is dis...
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Chapter
Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on a Time-Constrained Life-Testing Experiment
In this paper, we first derive explicit expressions for the MLEs of the location and scale parameters of the Laplace distribution based on a Type-I right-censored sample arising from a time-constrained life-te...
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Book
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Chapter
Progressive Type-I Censoring: Basic Properties
The distribution theory of progressive Type-I censored order statistics is presented. Furthermore, the dependence structure and the distribution of the number of observations up to some given threshold are add...
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Chapter
Adaptive Progressive Type-II Censoring and Related Models
The notion of adaptive progressive Type-II censoring is introduced in detail and the relation to some other models is illustrated. The discussion includes, e.g., nonadapative progressive Type-II censoring, the...
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Chapter
Progressive Type-I Interval Censored Data
Inference for progressive Type-I interval censored data is presented. The discussion includes parametric inference as well as problems of choosing optimal inspection times and optimal progressive interval cens...
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Simulation of Progressively Censored Order Statistics
Several accounts to the simulation of progressively censored data are presented. This includes procedures mimicking the generation process ofprogressively censored order statistics as well as methods based on ...
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Chapter
Stress–Strength Models with Progressively Censored Data
Step-stress models based on two progressively Type-II censored data sets are reviewed. The discussion includes likelihood inference as well minimum variance unbiased estimation. A special emphasis is put on ex...
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Chapter
Progressive Type-II Censoring Under Nonstandard Conditions
The mixture representation for progressively Type-II censored order statistics from arbitrary baseline distributions is proven. Furthermore, results for INID progressively Type-II censored order statistics and...
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Chapter
Maximum Likelihood Estimation in Progressive Type-II Censoring
Likelihood inference in progressive Type-II censoring is presented for a wide range of distributions including exponential, Weibull, extreme value, generalized Pareto, Laplace, and normal distributions. The ch...
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Chapter
Progressive Type-II Censoring: Distribution Theory
The distribution theory of progressively Type-II censored order statistics is presented with a focus on particular baseline distributions like exponential and generalized Pareto distributions. The discussion i...
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Chapter
Progressive Hybrid and Adaptive Censoring and Related Inference
Inferential results for progressive hybrid and adaptive progressive Type-II censored data are shown. A special focus is given to one- and two-parameter exponential distributions.
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Chapter
Point Prediction from Progressively Type-II Censored Samples
Several prediction problems for progressively Type-II censored data are considered. This includes prediction of progressively censored lifetime as well as prediction of future observations. After introducing s...
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Chapter
Counting and Quantile Processes and Progressive Censoring
Results for counting and quantile processes based on progressively Type-II censored data are presented.
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Chapter
Acceptance Sampling Plans
Results for reliability/acceptance sampling plans based on progressively Type-II censored data are reviewed. This includes results for exponential, Weibull, and log-normal lifetimes. Furthermore, capability in...
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Chapter
Optimal Experimental Designs
The problem of an optimal censoring plan in progressive Type-II censoring is discussed for several criteria including minimum experimental time, maximum Fisher information, minimum variance of estimates, as we...
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Chapter
Linear Estimation in Progressive Type-II Censoring
Linear inference for progressively Type-II censored order statistics is discussed for location, scale, and location-scale families of population distributions. After a general introduction, results for exponen...
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Chapter
Progressive Censoring: Data and Models
The notion of progressive censoring is explained by introducing progressive Type-I and Type-II censoring in detail. The presentation includes detailed descriptions of the procedures as well as graphical illust...
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Chapter
Point Estimation in Progressive Type-I Censoring
Results on likelihood inference in progressive Type-I censoring are reviewed for a plenty of distributions including one- and two-parameter exponential, extreme value, Weibull, normal, and Burr distributions.
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Chapter
Further Distributional Results on Progressive Type-II Censoring
Further probabilistic results on progressively Type-II censored order statistics are summarized. First, characterization and stochastic ordering results are reviewed. After discussing aging properties, limitin...
