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Exact confidence bounds for an exponential parameter under hybrid censoring. (English) Zbl 0644.62101
Consider a life testing experiment in which n units are put on test, successive failure times are recorded, and the observation is terminated either at a specified number r of failures or a specified time T whichever is reached first. This mixture of type I and type II censoring schemes, called hybrid censoring, is of wide use.
Under this censoring scheme and the assumption of an exponential life distribution, the distribution of the maximum likelihood estimator of the mean life \(\theta\) is derived. It is then used to construct an exact lower confidence bound for \(\theta\).

62N05 Reliability and life testing
62F25 Parametric tolerance and confidence regions
62E15 Exact distribution theory in statistics
Full Text: DOI
[1] DOI: 10.2307/1266223
[2] DOI: 10.2307/1266339 · Zbl 0121.14403
[3] David H. A., Order Statistics (1970) · Zbl 0223.62057
[4] DOI: 10.1214/aoms/1177728723 · Zbl 0058.35104
[5] Gnedenko B.V., Mathematical Methods of Reliability Theory (1969) · Zbl 0169.50501
[6] Reliability Design Qualification and Production Acceptance Test, Exponential Distribution (1977)
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