Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Noting that the classical Hill estimator of a positive extreme value index (EVI) is the logarithm of the mean of order-0 of a set of certain statistics, a more general class of EVI-estimators based on the mean of order-p (MOP), p ⩾ 0, of such statistics was recently introduced. The asymptotic behavior of the class of MOP EVI-estimators is revied, and compared to their reduced-bias MOP (RBMOP) and optimal RBMOP versions, which are suggested here and studied both asymptotically and for finite samples, through a large-scale simulation study. Applications to simulated datasets are also put forward.
['M. Ivette Gomes', 'M. Fátima Brilhante', 'Dinis Pestana']
I am writing a research paper on a idea New Reduced-bias Estimators of a Positive Extreme Value Index
[{"from": "human", "value": "I am writing a research paper on a idea New Reduced-bias Estimators of a Positive Extreme Value Index"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Noting that the classical Hill estimator of a positive extreme value index (EVI) is the logarithm of the mean of order-0 of a set of certain statistics, a more general class of EVI-estimators based on the mean of order-p (MOP), p \u2a7e 0, of such statistics was recently introduced. The asymptotic behavior of the class of MOP EVI-estimators is revied, and compared to their reduced-bias MOP (RBMOP) and optimal RBMOP versions, which are suggested here and studied both asymptotically and for finite samples, through a large-scale simulation study. Applications to simulated datasets are also put forward."}]