The Annals of Statistics

On Fixed Size Confidence Bands for the Bundle Strength of Filaments

Pranab Kumar Sen

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The present paper deals with the asymptotic theory of sequential confidence intervals of prescribed width $2d (d > 0)$ and prescribed coverage probability $1 - \alpha (0 < \alpha < 1)$ for the (unknown, per unit) strength of bundle of parallel filaments. In this context, certain useful convergence results on the empirical distribution and on the bundle strength of filaments are established and incorporated in the proofs of the main theorems. The results are the sequential counterparts of some fixed sample size results derived in a concurrent paper of Sen, Bhattacharyya and Suh [9].

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Ann. Statist., Volume 1, Number 3 (1973), 526-537.

First available in Project Euclid: 12 April 2007

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Sen, Pranab Kumar. On Fixed Size Confidence Bands for the Bundle Strength of Filaments. Ann. Statist. 1 (1973), no. 3, 526--537. doi:10.1214/aos/1176342418.

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