## The Annals of Statistics

### On Fixed Size Confidence Bands for the Bundle Strength of Filaments

Pranab Kumar Sen

#### Abstract

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].

#### Article information

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

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176342418

Digital Object Identifier
doi:10.1214/aos/1176342418

Mathematical Reviews number (MathSciNet)
MR350999

Zentralblatt MATH identifier
0258.62047

JSTOR

#### Citation

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. https://projecteuclid.org/euclid.aos/1176342418