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On Selecting a Spurious Observation

Published online by Cambridge University Press:  20 November 2018

K. S. Mount
Affiliation:
University of Manitoba, Winnipeg Manitoba
B. K. Kale
Affiliation:
University of Manitoba, Winnipeg Manitoba
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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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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973