A simple approach for testing constant failure rate against different ageing classes for discrete data |
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| Affiliation: | 1. Indian Statistical Institute, Chennai, India;2. Department of Statistics and Probability, Michigan State University, USA;3. Department of Biostatistics and Epidemiology, Georgia Regents University, USA;4. University of Hyderabad, Hyderabad, India;1. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China;2. College of Mining and Safety Engineering, Shandong University of Science and Technology, Qingdao 266590, China;1. College of Biotechnology and Pharmaceutical Engineering, Nanjing Tech University, Nanjing 211816, China;2. Key Laboratory of Synthetic Chemistry of Natural Substances, Shanghai Institute of Organic Chemistry, CAS, 345 Lingling Road, Shanghai 200032, China;1. School of Civil Engineering, Wuhan University, Wuhan, Hubei 430072, China;2. Hubei Key Laboratory of Geotechnical and Structural Engineering Safety, Wuhan University, Wuhan, Hubei 430072, China;1. CHOSE - Centre for Hybrid and Organic Solar Energy, Department of Electronic Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133, Rome, Italy;2. Department of Chemistry, University of Bath, Bath, BA2 7AY, United Kingdom;1. Grupo de Procesos de Transporte y Reacción en Sistemas Multifásicos, Departamento. de IPH, Área de Ingeniería Química, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Mexico City 09340, Mexico;2. Depto. de IPH, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Mexico City 09340, Mexico |
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| Abstract: | In this paper, we develop simple non-parametric test based on U-statistics for testing constant failure rate against IFR, IFRA, DMRL, NBU and NBUE alternatives. The asymptotic properties of the test statistics are studied. In particular, the test statistics are shown to be asymptotically normal and consistent against the relevant alternatives. Some numerical results are presented to demonstrate the performance of the proposed tests. |
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| Keywords: | Discrete reliability Geometric distribution IFR IFRA DMRL NBU NBUE U-statistics |
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