Define order statistics
Answers
The order statistics are random variables that satisfy X(1) ≤ X(2) ≤ ··· ≤ X(n). The following are some statistics that are easily defined in terms of the order statistics. The sample range, R = X(n) − X(1), is the distance between the smallest and largest obser- vations.
Step-by-step explanation:
(1)Order Statistics Definition
Order statistics are sample values placed in ascending order. The study of order statistics deals with the applications of these ordered values and their functions.
Let’s say you had three weights:
X1 = 22 kg, X2 = 44 kg, and X3 = 12 kg.
To get the order statistics (Yn), put the items in numerical increasing order:
Y1 = 12 kg
Y2 = 22 kg
Y3 = 44 kg
The kth smallest X value is normally called the kth order statistic.
(2)Definition Of Median
Median is the middle data value of an ordered data set.
More About Median
If there are two middle values, then the median is the mean of the two numbers.
There will be two middle values when the number of values in the data set is even.
Examples of Median
12, 23, 8, 46, 5, 42, 19
Mean =
The median in the above data set is 19.