1971IEEE Transactions on ReliabilityRequires access

Tables to Facilitate Calculation of an Asymptotically Optimal t Test for Equality of Location Parameters of a Certain Extreme-Value Distribution

Lai Kwan Chan, E. R. Mead

Open publisher page 2 citations

Abstract

A t test, proposed by Ogawa and based on the use of a few sample quantiles selected from large samples, is considered for testing the hypothesis H0: μ1= μ2against the hypothesis H1: μ1≠ μ2concerning the location parameters μ1and μ2of two extreme-value distributions with common unknown scale parameter σ. Tables that simplify the calculation of the test statistic and an example illustrating their use are provided.

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What this paper is about

A t test, proposed by Ogawa and based on the use of a few sample quantiles selected from large samples, is considered for testing the hypothesis H0: μ1= μ2against the hypothesis H1: μ1≠ μ2concerning the location parameters μ1and μ2of two extreme-value distributions with common unknown scale parameter σ. Tables that simplify the calculation of the test statistic and an example illustrating their use are provided.

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Available abstract

A t test, proposed by Ogawa and based on the use of a few sample quantiles selected from large samples, is considered for testing the hypothesis H0: μ1= μ2against the hypothesis H1: μ1≠ μ2concerning the location parameters μ1and μ2of two extreme-value distributions with common unknown scale parameter σ. Tables that simplify the calculation of the test statistic and an example illustrating their use are provided.

Key concepts: Computer science, Algorithm, Mathematics

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