以下是我大修的修改写作总结性内容,帮我修改润色,给些建议
According to the two reviewers, we have rewritten our paper. We firstly introduce Theorem 1.1 exploring the uniform integrability of some normalized extreme order statistics and their variance expressions. We obtain Corollary 1.2 as one of its direct applications, namely, the searching for effective unbiased estimators for endpoints of some distributions. Remark 1.3 shows that the estimators indicated in Corollary 1.2 are very effective. Secondly, for conditions satisfying Theorem 1.1 but different from those in Corollary 1.2, on the one hand, we prove that Theorem 1.1 is applicable in forming bias reducing Jackknife estimators for endpoints and thereby obtain Corollary 1.4. On the other hand, based on Theorem 1.1 and 1.5, we discuss the variance of a sample midrange of a kind of symmetrical population and obtain Corollary 1.7 which reveals that the sample midrange is very effective in estimating the center of the symmetrical distribution in Corollary 1.7. Finally, some software simulation examples are provided for verification.
这是感谢内容
We are grateful to our reviewers for so many helpful and pertinent comments and suggestions and even direct corrections of our mistakes. We are deeply impressed by their high specialty level and their careful and strict attitude towards the revision work which contributes a lot to this rewritten manuscript. We have learnt a lot from them.
Although we had rewritten our manuscript again and again and felt better and better, we were not sure if it satisfied the demands for publish in CIS which we look forward to. For fear that we may disappoint our reviewers, we send our final manuscript to Armstrong-Hilton LTD for language polishing.