Estimation and Testing of Hypotheses about the Quantile Function of the Normal Distribution

@inproceedings{Saleh1988EstimationAT,
  title={Estimation and Testing of Hypotheses about the Quantile Function of the Normal Distribution},
  author={A. K. Md. Ehsanes Saleh and Khatab Mohammed Hassanein and M. Masoom Ali},
  year={1988}
}
Abstract Estimation (point as well as interval) and testing of the hypotheses about the quantile-function (Q(ξ). 0<ξ<1) of a two-parameter normal distribution is considered based on k(≤n) selected order statistics from a sample of size n (n large). It is shown that the asymptotic relative efficiency (ARE) expressions of the asymptotically best linear unbiased estimator (ABLUE) of Q(ξ) relative to the uniformly minimum variance unbiased estimator (UMVUE) is the same as for the corresponding 100… CONTINUE READING

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