Abstract
The Nakagami distribution is widely used in communication engineering. In this article we consider this distribution as a useful life time model in life testing experiments and reliability theory. Some of its distributional properties and reliability characteristics are discussed. In order to reduce cost and time of life testing experiments progressive type II censoring is used. Maximum likelihood (ML) and least square estimators of the unknown parameters and reliability characteristics are derived with progressively type II censored sample from this distribution. Interval estimation and coverage probability based on ML estimates are obtained. Monte Carlo simulation study is performed to compare various estimates developed. Findings are illustrated by three examples, two based on simulated data sets and one consisting of a real data set.
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The authors are grateful to anonymous referee for their valuable suggestions.
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Kumar, K., Garg, R. & Krishna, H. Nakagami distribution as a reliability model under progressive censoring. Int J Syst Assur Eng Manag 8, 109–122 (2017). https://doi.org/10.1007/s13198-016-0494-3
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DOI: https://doi.org/10.1007/s13198-016-0494-3
Keywords
- Nakagami distribution
- Progressive censoring
- Maximum likelihood estimation
- Confidence intervals
- Least square estimation
- Coverage probability