Test Of Equal Gamma-distribution Means With Unknown And Unequal Shape Parameters

Abstract

An approximate F test is provided for testing the equality of means for two gamma distributions when the shape parameters may be unknown and unequal. The corresponding confidence intervals associated with this test provide confidence intervals for the ratio of means when the shape parameters are unknown and unequal. The approximation is studied by Monte Carlo simulation, and asymptotic results are also derived. An approximate F test for equal shape parameters is also studied. © 1988 Taylor & Francis Group, LLC.

Department(s)

Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Comments

Air Force Office of Scientific Research, Grant 84-0164

Keywords and Phrases

Confidence intervals; Equality of means; Ratios of means; Two-sample tests

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 1988

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