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On Selecting a Spurious Observation
Published online by Cambridge University Press: 20 November 2018
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Consider a life testing experiment in which (Xl, X2,…,Xn) are such that (n—1) of them are distributed as f(x, σ)=(l/σ)e-x/σ, x ≥ σ, > 0 and one of them is distributed as f(x, σ/α), 0 < α< l. A priori each Xi has probability 1/n of being a spurious observation distributed as f (x,σ/α). For such an experiment Kale and Sinha [2] showed that if ur denotes the probability that X(r), the rth component of the order statistic, corresponds to the spurious observation, then u1 < u2 < … < un.
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- Copyright © Canadian Mathematical Society 1973
References
1.
Ferguson, T., Mathematical statistics, a decision theoretic approach, Academic Press, 1967.Google Scholar
2.
Kale, B. K., and Sinha, S. K., Estimation of expected life in the presence of an outlier observation.
Technometrics, 13 (1971), 755–759.Google Scholar
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