Research ArticleOpen accessPhrase in the titleOn Bessel’s Correction: Unbiased Sample Variance, the Bariance, and a Novel Runtime-Optimized EstimatorFelix ReichelBessel’s correction adjusts the denominator in the sample variance formula from n to n – 1 to ensure an unbiased estimator of the population variance. This paper provides rigorous algebraic derivations to reinforce the necessity of this correction. It further introduces the concept of Bariance, an alternative dispersion measure based on average pairwise squared differences that avoids reliance on the … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 29 Jan 2026 · 2,994 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimation of the Mean of Truncated Exponential DistributionFaris Muslim Al-AthariProblem statement: In this study, the researcher considers the problem of estimation of the mean of the truncated exponential distribution. Approach: This study contracted with maximum likelihood and unique minimum variance unbiased estimators and gives a modification for the maximum likelihood estimator, asymptotic variances and asymptotic confidence intervals for the estimators. The properties of these estimators in small, moderate and … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,675 accessesView PDFCite