Estimating Hazard Function through Reliability Function and Empirical Methods

  • Azhin M. Khudhur Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq https://orcid.org/0000-0002-0524-4990
  • Shvan A. Hama Noory Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq https://orcid.org/0009-0008-1532-4610
  • Bestoon M. Abdulkareem Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq https://orcid.org/0009-0009-0488-7028
Keywords: Basics of Reliability Function, Empirical Reliability, Rayleigh Distribution, Hazard Function, Mean Absolute Error

Abstract

In this research, the reliability functions are applied to estimate the hazard function of four used car components (tires, brakes, lights, engine), which are inspected by aperiodic vehicles inspection (PVI) established in Erbil city, as a specialized company that conducts the annual technical inspection of vehicles to detect the failure component, that either require repair or replace it with a new one. For our purpose, the data about the failure components of a sample of size (50000) cars are obtained from the Erbil traffic directorate, which are annually inspected for 11 years (2010 – 2020) by a (PVI) company. From the available data the reliability function, hazard function, and probability density function of failure time of each component are found by the non-parametric method and the estimated Rayleigh distribution since the failure rates of the components are the linear functions of time, also the comparison between their reliability values have made by the mean absolute error method.

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Author Biographies

Azhin M. Khudhur, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq

Azhin Mohammed Khudhur, is currently working in the College of Administration and Economics in the Department of Statistics at Salahaddin University-Erbil.  Her research interests are Bayesian Inference, MCMC, Statistical Modeling, and Time series.

 

Shvan A. Hama Noory, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq

Shvan A. Hama work at Statistics and Informatics Department, College of Administration and Economics, Salahaddin University-Erbil, Iraq.  His research interests are statistical methodologies.

Bestoon M. Abdulkareem, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq

Bestun M. Abdulkareem works at Statistics and Informatics Department, College of Administration and Economics, Salahaddin University-Erbil, Iraq. His interests are advancing statistical methodologies and Stochastic.

 

 

References

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Published
2024-03-20
How to Cite
1.
Khudhur A, Hama Noory S, Abdulkareem B. Estimating Hazard Function through Reliability Function and Empirical Methods. cuesj [Internet]. 20Mar.2024 [cited 24Apr.2024];8(1):18-. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/1091
Section
Research Article