Asymptotically Minimal Multivariate Tolerance Sets-Reference-Cited by-同舟云学术

Asymptotically Minimal Multivariate Tolerance Sets

Published:1980-03 Issue:1-2 Volume:29 Page:73-94
ISSN:0008-0683
Container-title:Calcutta Statistical Association Bulletin
language:en
Short-container-title:Calcutta Statistical Association Bulletin

Author:

Chatterjee Shoutir Kishore¹²,Patra Nishith Kumar¹²

Affiliation:

1. Calcutta University

2. Asutosh College, Calcutta

Abstract

Multivariate β-content tolerance sets with asymptotic confidence level [Formula: see text] are defined and the requirement of asymptotic minimality for such sets is formulated. A method of construction of asymptotically minimal tolerance sets baFed on uniformly consistent density estimates ia developed. Application of the method in certain parametric situations based on parameter estimates and certain nonparametric situations based on window estimates of the density is considered.

Publisher

SAGE Publications

Subject

General Medicine

Link

http://journals.sagepub.com/doi/pdf/10.1177/0008068319800106

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