In financial overlapping return applications, Lo and MacKinlay ( 1988) and Hansen and Hodrick ( 1980) demonstrate how overlapping returns may be used to increase the efficiency of statistics used in variance ratio tests. Several estimation procedures and hypothesis testing frameworks have been improved through the utilization of overlapping returns. Our central aim is to construct unbiased weighted variance and skewness estimators for overlapping return distributions. This motivates the development of unbiased analogues of such estimators which we explore in the cases of the variance and skewness statistics. In addition, for such series, recent data is regularly viewed as more relevant than past information, which has resulted in the creation of weighted generalizations of estimation methodologies. Standard statistical inference and estimation techniques applied to overlapping return financial time series are typically biased. Applications include variance ratio tests, regression parameter error estimation, and alternative resampling methods. Overlapping returns are used in many contexts in the finance and econometrics literature.
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