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On the two-sided quality control

František Rublík (1982)

Aplikace matematiky

Let the random variable X have the normal distribution N ( μ , σ 2 ) . Explicit formulas for maximum likelihood estimator of μ , σ are derived under the hypotheses μ + c σ m + δ , μ - c σ m - δ , where c , m , δ are arbitrary fixed numbers. Asymptotic distribution of the likelihood ratio statistic for testing this hypothesis is derived and some of its quantiles are presented.

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