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Distributions of order statistics and estimation of mean life when an outlier may be present
Author(s) -
Sinha S. K.
Publication year - 1973
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314651
Subject(s) - mathematics , statistics , estimator , covariance , mean squared error , outlier , statistic , order statistic , combinatorics , bounded function , mathematical analysis
Consider a random sample (X 1 , X 2 ,…, X n ) where one observation (or out‐lier) is determined by the density f(x, θ/α), θ >0, 0 < α ≤ l, while the remaining observations have a common density f(x, θ) = (l/θ)exp(‐x/θ), with θ > 0. The statistic T mn = 1/m+1 [Σ m i=1 x (i) +(n‐m)x (m) ], 0
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