Interval Estimation For The Two-parameter Double Exponential Distribution

Abstract

Confidence intervals based on the maximum likelihood estimators are given for the location and scale parameters of the Double Exponential distribution. These intervals are obtained by determining the distribution of the pivotal quantities (Ɵ – θ)/Θ and σ/σ. Exact distributions are determined for n = 3 and n = .5, and approximate distributions are provided for larger n. The asymptotic distributions are also given and the accluacy of these approximations are investigated. The powers of the associated tests of hypotheses are given and tolerance limits for the population are also provided. Some possible applications are indicated. © 1973 Taylor & Francis Group, LLC.

Department(s)

Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Comments

U.S. Air Force, Grant C-1018

Keywords and Phrases

Double exponential distribution; Interval tistimation; Maximrim likelihood

International Standard Serial Number (ISSN)

1537-2723; 0040-1706

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.

Publication Date

01 Jan 1973

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