It would help if would supply context. I presume empirical mean is a term for sample average, but I can't be sure.DUET said:Consider a data matrix, X, with zero empirical mean.
What is zero empirical mean?
Could someone please give me an example of such matrix?
"Zero empirical mean" refers to a statistical term used to describe the average value of a set of data points. It means that the sum of all the data points in the set is equal to zero when divided by the total number of data points.
To calculate "Zero empirical mean", you add all the data points in a set and then divide that sum by the total number of data points. If the result is equal to zero, then the data set has a zero empirical mean.
"Zero empirical mean" is important in statistics because it helps to determine the central tendency or average of a data set. It can also be used to identify any outliers or extreme values in the data set.
Yes, a data set can have a "Zero empirical mean". This means that the data set is symmetrical, with an equal number of data points above and below the mean. However, this is not a common occurrence and is more likely to happen with smaller data sets.
"Zero empirical mean" and "Arithmetic mean" are two different measures of central tendency. While "Zero empirical mean" refers to the average value of a data set, "Arithmetic mean" is the sum of all the data points divided by the total number of data points. In some cases, they may be the same value, but they are not always equal.