Exact Inference for a New Flexible Hybrid Censoring Scheme
Autor: | Julian Górny, Erhard Cramer |
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Rok vydání: | 2018 |
Předmět: |
Statistics::Theory
Exponential distribution Maximum likelihood 05 social sciences Estimator Inference Statistics::Other Statistics Exact distribution 01 natural sciences Confidence interval Exponential function 010104 statistics & probability Censoring (clinical trials) 0502 economics and business Statistics::Methodology Applied mathematics 0101 mathematics 050205 econometrics Mathematics |
Zdroj: | Journal of the Indian Society for Probability and Statistics. 19:169-199 |
ISSN: | 2364-9569 |
DOI: | 10.1007/s41096-018-0039-y |
Popis: | We introduce a new hybrid censoring scheme called general unified (progressive) hybrid censoring and study its properties by applying the modularization technique proposed in Gorny and Cramer (Metrika 81(2):173–210, 2018a). For exponentially distributed lifetimes, we illustrate that already known progressive hybrid censoring models are included as particular cases. Further, we determine the exact distribution of the maximum likelihood estimators (MLEs) for an underlying exponential and uniform distribution under general unified progressive hybrid censoring and general unified hybrid censoring, respectively. The results are applied to construct exact confidence intervals. |
Databáze: | OpenAIRE |
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