Jackknife Estimators in Statistics

In the realm of statistics, robust estimators play a pivotal role in extracting meaningful insights from data while mitigating the influence of outliers or peculiarities. One such method, the resampling technique, offers a versatile approach to estimate parameters and assess the variability of statistical measures. Among the arsenal of resampling methods, the jackknife estimator stands out for its simplicity, efficacy, and wide applicability across diverse domains. This essay endeavors to illuminate the principles underlying the jackknife estimator, its applications, and its significance in modern statistical analysis.