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Some statistical inferences on Inlier(s) models

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Abstract

The occurrences of instantaneous failures, nearly instantaneous failures and early failures are natural in many life testing experiments. They are generally called Inliers, which appears to be inconsistent with the remaining data set. The inliers are either the resultant of sudden changes/failures usually encountered in life testing, financial, clinical trial and many other studies. To accommodate such instances the failure time distributions are modified by defining as those observations which are very small compared to the other positive observations. In this paper, we unify all the three types of failures into one model and study some inferences on the model parameters. The detection of inliers is done for single and multiple inliers using various procedures. A real life application is also discussed.

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Acknowledgments

Both the authors thank the referee and Editor for their constructive comments and suggestions, which have helped to improve the paper.

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Correspondence to K. Muralidharan.

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Muralidharan, K., Khabia, A. Some statistical inferences on Inlier(s) models. Int J Syst Assur Eng Manag 8 (Suppl 1), 18–25 (2017). https://doi.org/10.1007/s13198-014-0284-8

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  • DOI: https://doi.org/10.1007/s13198-014-0284-8

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