Order-Restricted Semiparametric Inference for the Power Bias Model
| Autor: | Davidov, O., Fokianos, Konstantinos, Iliopoulos, George |
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| Přispěvatelé: | Fokianos, Konstantinos [0000-0002-0051-711X] |
| Rok vydání: | 2009 |
| Předmět: |
Statistics and Probability
Pool adjacent violators algorithm (PAVA) Biased sampling probability media_common.quotation_subject Inference Probability density function empirical analysis General Biochemistry Genetics and Molecular Biology Econometrics Applied mathematics selection bias Semiparametric regression population density Selection Bias Probability Parametric statistics Sampling bias Mathematics media_common Selection bias stochasticity Likelihood Functions algorithm Models Statistical General Immunology and Microbiology Likelihood ratio order Applied Mathematics statistical model article General Medicine Empirical likelihood sampling bias Semiparametric model Usual stochastic order Semiparametric models epidemiology General Agricultural and Biological Sciences population modeling |
| Zdroj: | Biometrics |
| ISSN: | 0006-341X |
| DOI: | 10.1111/j.1541-0420.2009.01285.x |
| Popis: | The power bias model, a generalization of length-biased sampling, is introduced and investigated in detail. In particular, attention is focused on order-restricted inference. We show that the power bias model is an example of the density ratio model, or in other words, it is a semiparametric model that is specified by assuming that the ratio of several unknown probability density functions has a parametric form. Estimation and testing procedures under constraints are developed in detail. It is shown that the power bias model can be used for testing for, or against, the likelihood ratio ordering among multiple populations without resorting to any parametric assumptions. Examples and real data analysis demonstrate the usefulness of this approach. © 2009, The International Biometric Society. 66 2 549 557 Cited By :11 |
| Databáze: | OpenAIRE |
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