The interclass correlation which may occur in the normal sample influences the confidence level of the interval estimation relatively to the sample size. The robustness function is evaluated and the modified confidence intervals are proposed to guarantee robustness of the assumed level of confidence.
The problem of sequential fixed-precision estimation of the minimum point of a quadratic regression function is investigated. Stochastic approximation methods are mentioned. One presents also some sequential fixed-precision procedures for the minimum of a random variable, i.e. for the lower bound of the support of its distribution function. One attempts to apply these procedures to estimation of the minimal value of a regression function. Asymptotically consistent fixed-precision estimation is considered.
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