Advances in Degradation Modeling
Applications to Reliability, Survival Analysis, and Finance
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N. Balakrishnan
Mathematics
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Article
Estimation and Prediction for an Exponential Form Distribution Based on Combined Type-II Censored Samples
In this paper, based on combined Type-II censored samples, an exponential form for the underlaying distributions is considered for estimating the unknown parameters using the maximum likelihood and Bayesian me...
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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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Article
Stochastic ordering of medians in exchangeable trivariate normal vectors
In this paper, we establish the stochastic ordering of median from an exchangeable trivariate normal vector based on the strength of the correlation coefficient. Specifically, by considering two exchangeable t...
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Article
Bayesian Estimation Based on Ranked Set Sampling Using Asymmetric Loss Function
In this paper, we use the Linex loss function to derive the Bayesian estimate of the parameter of the exponential distribution based on ranked set sampling. Under this setup, we use both conjugate and Jeffreys...
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Book
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Chapter
Survival Models for Step-Stress Experiments With Lagged Effects
In this chapter, we consider models for experiments in which the stress levels are altered at intermediate stages during the exposure. These experiments, referred to as step-stress tests, belong to the class o...
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Book
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Chapter
Exact Inference and Optimal Censoring Scheme for a Simple Step-Stress Model Under Progressive Type-II Censorig
In reliability and life-testing experiments, the researcher is often interested in the effects of extreme or varying stress factors such as temperature, voltage and load on the lifetimes of experimental units....
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Book
Advances in Statistical Methods for the Health Sciences
Applications to Cancer and AIDS Studies, Genome Sequence Analysis, and Survival Analysis
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Chapter
An Assessment of Up-and-Down Designs and Associated Estimators in Phase I Trials
In this article, we consider some up-and-down designs that are discussed in Ivanova et al. (2003) for estimating the maximum tolerated dose (MTD) in phase I trials: the biased coin design, k-in-a-row rule, Naraya...
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Book
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Chapter
Fisher Information and Tukey’s Linear Sensitivity Measure Based on Ordered Ranked Set Samples
(1995) derived the Fisher information and discussed the maximum likelihood estimation (MLE) of the parameters of a location-scale family ...
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Book
Advances in Ranking and Selection, Multiple Comparisons, and Reliability
Methodology and Applications
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Chapter
EM Algorithm and Optimal Censoring Schemes for Progressively Type-II Censored Bivariate Normal Data
The EM algorithm is used to find the maximum likelihood estimates (MLEs) of the parameters of a bivariate normal distribution based on progressively Type-II right censored samples. The asymptotic variances and...
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Book and Conference Proceedings
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Book
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Chapter
Record Values in Archimedean Copula Processes
We investigate the asymptotic behavior of record values X(n) for some types of Archimedean copula processes. It is shown that the set of all limit distribution functions for X(n),normed and centered in a suitable...
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Book
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Book
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Chapter
Acceptance Sampling Plans
In this Chapter, we discuss the construction of acceptance sampling plans based on progressively Type-II right censored samples. For this purpose, we may either use exact (ML/BLU) estimators of the parameters ...
