Determination of normal ranges from laboratory data containing undectable values is a frequently encountered problem in the radioimmunoassay of peptide hormones. In the past, such determinations usually have been based on the mid-point method or the one-end Winsorized method. A graphic method involving the use of probability paper has also been reported. We propose that the maximum-likelihood e...

We report simulations of abnormal buy-and-hold stock return tests. Using benchmark portfolios purged of new-listings and rebalancing biases, we find severe misspecification of parametric tests, due in part to skewness. We document a negative relation between skewness bias and sample size, and an overlapping-horizons bias. Both biases become more severe as the holding period lengthens. The biase...

A class of robust location estimators called weighted randomly trimmed means are introduced and not only their consistency and asymptotic normality are proved, but their influence functions, asymptotic variances and breakdown points are also derived. They possess the same breakdown points as the median, and some of them own higher asymptotic relative efficiencies at the heavy-tailed distributio...

This study aims to determine the air pollution in Karabük province. For this purpose, a new equipment has been designed. The can measure SO2, CO2, CO, CH4, NOX, O3, PM2.5, and VOC alongside with many atmospheric parameters. measurement period decided be one year starting from June 2021. was year, measurements were taken at fifty points 8 portable intermittent equipment. Then hourly monthly aver...

When constructing parametric models to predict the cost of future claims, several important details have be taken into account: (1) should designed accommodate deductibles, policy limits, and coinsurance factors; (2) parameters estimated robustly control influence outliers on model predictions; (3) all point predictions augmented with estimates their uncertainty. The methodology proposed in thi...