The Art of Progressive Censoring
Applications to Reliability and Quality
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136 Result(s)
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N. Balakrishnan
Probability Theory and Stochastic Processes
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Article
Likelihood ratio order of parallel systems with heterogeneous Weibull components
In this paper, we compare the largest order statistics arising from independent heterogeneous Weibull random variables based on the likelihood ratio order. Let
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Article
Representations of the inactivity time for coherent systems with heterogeneous components and some ordered properties
In this paper, we present several useful mixture representations for the reliability function of the inactivity time of systems with heterogeneous components based on order statistics, signatures and mean reli...
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Article
Inference for the bivariate Birnbaum–Saunders lifetime regression model and associated inference
In this paper, we discuss a regression model based on the bivariate Birnbaum–Saunders distribution. We derive the maximum likelihood estimates of the model parameters and then develop associated inference. Nex...
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Article
Limit results for concomitants of order statistics
In this paper, we discuss the concomitants of order statistics. We study asymptotic properties of the concomitants of largest order statistics and we pay special attention to strong limit results. The strong l...
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Article
An EM algorithm for the estimation of parameters of a flexible cure rate model with generalized gamma lifetime and model discrimination using likelihood- and information-based methods
In this paper, we consider the Conway–Maxwell Poisson (COM-Poisson) cure rate model based on a competing risks scenario. This model includes, as special cases, some of the well-known cure rate models discussed...
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Article
On the Computation of Entropy Prior Complexity and Marginal Prior Distribution for the Bernoulli Model
As the size and complexity of models grow, the choice of the best model becomes a difficult and challenging task. Once the best model is specified, the goodness of fit of the model needs to be examined first. ...
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Article
Analyzing supersaturated designs for discrete responses via generalized linear models
A supersaturated design is a factorial design in which the number of factors to be estimated is larger than the available number of experimental runs. The cost and time required for many industrial experimenta...
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Chapter and Conference Paper
Pitman Closest Estimators Based on Convex Linear Combinations of Two Contiguous Order Statistics
Comparisons of best linear unbiased estimators with some other prominent estimators have been carried out over the last six decades since the ground breaking work of Lloyd [13]; see Arnold et al. [1] and David an...
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Article
\(L\) -statistics from multivariate unified skew-elliptical distributions
We study here the distributions of order statistics and linear combinations of order statistics from a multivariate unified skew-elliptical distribution. We show that these distributions can be expressed as mi...
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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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Chapter
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...
