analysis in the presence of heteroscedasticity, which led to his formulation of the autoregressive conditional heteroscedasticity (ARCH) modeling technique...

Garthoff, R. (2018). "Generalised spatial and spatiotemporal autoregressive conditional heteroscedasticity". Spatial Statistics. 26 (1): 125–145. arXiv:1609...

including weighted least squares and the use of heteroscedasticity-consistent standard errors can handle heteroscedasticity in a quite general way. Bayesian...

or boxplot is a method for demonstrating graphically the locality, spread and skewness groups of numerical data through their quartiles. In addition to...

exhibit a phenomenon called heteroscedasticity. If all of the residuals are equal, or do not fan out, they exhibit homoscedasticity. However, a terminological...

applied in statistics, data warehouses, and in economics. There is a distinction between aggregate data and individual data. Aggregate data refers to...

distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's chi-squared test is used to determine whether...

organized into structures such as tables that provide additional context and meaning, and may themselves be used as data in larger structures. Data may be used...

analysis in the presence of heteroscedasticity, which led to his formulation of the autoregressive conditional heteroscedasticity (ARCH) modeling technique...

population and associated techniques of survey data collection, such as questionnaire construction and methods for improving the number and accuracy of...

proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents. While...

Methods engineering is a subspecialty of industrial engineering and manufacturing engineering concerned with human integration in industrial production...

population and recording the sample mean per sample. This forms a distribution of different means, and this distribution has its own mean and variance....

(2016-12-19). "Nonnegative Matrix Factorization (NMF) with Heteroscedastic Uncertainties and Missing data". arXiv:1612.06037 [astro-ph.IM]. Ren, Bin; Pueyo...

numerical value of the mode is the same as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions...

psychology, and political science. Monte Carlo methods have been recognized as one of the most important and influential ideas of the 20th century, and they...

In mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an...

a mean or a standard deviation. If a population exactly follows a known and defined distribution, for example the normal distribution, then a small set...

B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first") and D gets ranking number 4 ("fourth"), and either...

exists in both the private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may work...

unit, hence the alternative names. See § Background and § Definition for formal mathematics, and § Example for a worked example. Binary variables are...

calculating confidence intervals, and the best method depends on the situation. Two widely applicable methods are bootstrapping and the central limit theorem...

mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia. If the function is a probability...

an outlier and what does not. Standard deviation may be abbreviated SD or std dev, and is most commonly represented in mathematical texts and equations...

are the five-number summary, sometimes extended to a seven-number summary, and the associated box plot. Entries in an analysis of variance table can also...

normal score, standardized variable and pull in high energy physics. Computing a z-score requires knowledge of the mean and standard deviation of the complete...

a test of normality. It was published in 1965 by Samuel Sanford Shapiro and Martin Wilk. The Shapiro–Wilk test tests the null hypothesis that a sample...

correlation coefficient exist, each with their own definition and own range of usability and characteristics. They all assume values in the range from −1...

mean is a quantity representing the "center" of a collection of numbers and is intermediate to the extreme values of the set of numbers. There are several...

fourth spread, or H‑spread. It is defined as the difference between the 75th and 25th percentiles of the data. To calculate the IQR, the data set is divided...