Optimum Statistical Test Procedure

zbMATH Open1341.62063arXiv0904.1759MaRDI QIDQ3005202

Florentin Smarandache, Jayant Singh, Rajesh Singh

Publication date: 7 June 2011

Abstract: In this paper we obtain a test which minimizes the sum of the two error probabilities irrespective of whether $sigm{a}^2$ is known or unknown.

Full work available at URL: https://arxiv.org/abs/0904.1759

zbMATH Keywords

exponential distributionoptimalityvariancenormal distributionNeyman-Pearson lemmatesting hypothesescritical regionchi-square distribution with \(n\) degrees of freedomoptimum test

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03)

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