Sample maximum
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Sample maximum and minimum
In statistics, the sample maximum and sample minimum, also called the largest observation and smallest observation, are the values of the greatest and...
Maximum and minimum
set of real numbers, have no minimum or maximum. In statistics, the corresponding concept is the sample maximum and minimum. A real-valued function f defined...
Maximum likelihood estimation
as a random sample from an unknown joint probability distribution which is expressed in terms of a set of parameters. The goal of maximum likelihood estimation...
German tank problem
German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose there...
Continuous uniform distribution
the sample mean. The maximum likelihood estimator is: b ^ M L = m , {\displaystyle {\hat {b}}_{ML}=m,} where m {\displaystyle m} is the sample maximum, also...
Discrete uniform distribution
samples. The sample maximum m {\displaystyle m} itself is the maximum likelihood estimator for the population maximum, but it is biased. If samples from a discrete...
Mid-range
mid-extreme is a measure of central tendency of a sample defined as the arithmetic mean of the maximum and minimum values of the data set: M = max x + min...
Range (statistics)
difference between the largest and smallest values (also known as the sample maximum and minimum). It is expressed in the same units as the data. The range...
Estimation theory
seem that the sample mean is a better estimator since its variance is lower for every N > 1. Continuing the example using the maximum likelihood estimator...
Outlier
include the sample maximum or sample minimum, or both, depending on whether they are extremely high or low. However, the sample maximum and minimum are...