On estimation of the common mean of k (>=2) normal populations with order restricted variances

Misra, N;vanderMeulen, EC
(1997) Statistics & Probability Letters — Vol. 36, n° 3, p. 261-267 (1997)

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  • Misra, N
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  • vanderMeulen, EC
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Abstract
For estimating the common mean of k (greater than or equal to 2) normal populations with order restricted unknown variances, using the theory of isotonic regression, we propose a simple estimator which is better than the usual Graybill-Deal estimator in terms of stochastic dominance and the Pitman measure of closeness. (C) 1997 Elsevier Science B.V.
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Misra, N., & vanderMeulen, E. (1997). On estimation of the common mean of k (>=2) normal populations with order restricted variances. Statistics & Probability Letters, 36(3), 261-267. https://hdl.handle.net/2078.5/44472 (Original work published 1997)