The statitice inference under order restriction is an crucial research field in the present statistice analysis. For k normal populations with unknown meansμi and unknown vari-ancesσi2, assume that there are simple order restrictions:μ1≤μ2≤···≤μkandσ12≥σ22≥···≥σk2> 0, and an algorithm of the interval estimation of means and variances from normal populations under simulaneous order restrictions based on bootstrap.
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