We study the asymptotic covariance function of the sample mean and quantile, and derive a new and surprising characterization of the normal distribution: the asymptotic covariance between the sample ...

Caroline Banton has 6+ years of experience as a writer of business and finance articles. She also writes biographies for Story Terrace. Carl Friedrich Gauss was a child prodigy and a brilliant ...

This video describes the central limit theorem and some properties of the normal distribution. Understanding this will help you tie together many of the different types of hypothesis tests and ...

This column is the fourth in a series on parameter estimation, leading up to the justly famous Kalman filter. The discipline is based on the fact that our knowledge of the state of any real-world ...

This paper deals with the order statistics from the normal distribution. Equations are obtained for the percentage points and the modal values of the kth order statistic in a sample of size n. Table I ...

Jason Fernando is a professional investor and writer who enjoys tackling and communicating complex business and financial problems. Chip Stapleton is a Series 7 and Series 66 license holder, CFA Level ...

The t-distribution (or Student's t-distribution) has similarities to the normal distribution in shape, but with heavier tails. This applet allows users to drag a slider to change the degrees of ...