Window Estimates Of Location And Scale With Applications To The Cauchy Distribution

Author

J. (James) J. Higgins, Missouri University of Science and Technology
D. M. Tichenor

Abstract

Location and scale parameters are estimated via "window estimates". The consistency and asymptotic normality of the estimates are established. The special case of the Cauchy distribution is considered, where the estimates are shown to have the same asymptotic distribution as the maximum-likelihood estimates. Additional applications are given for the Pearson type-VII distributions. The estimates have the advantages of ease of computation and high asymptotic efficiencies for certain heavy-tailed distributions. © 1977.

Recommended Citation

J. J. Higgins and D. M. Tichenor, "Window Estimates Of Location And Scale With Applications To The Cauchy Distribution," Applied Mathematics and Computation, vol. 3, no. 2, pp. 113 - 126, Elsevier, Jan 1977.

The definitive version is available at https://doi.org/10.1016/0096-3003(77)90024-8

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

01 Jan 1977