The expected value is a key aspect of how one characterizes a probability distribution; it is one type of location parameter.
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The other lesser known school or schools of the same name should however all have the appropriate location parameter ( s ).
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The versions below with _ ls appended show how to generalize this to encompass an arbitrary location parameter mu and scale parameter sigma.
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The density will tend to infinity as " x " approaches the location parameter rendering estimates of the other parameters inconsistent.
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First, the statistician may remove the suspected outliers from the data set and then use the arithmetic mean to estimate the location parameter.
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This family has an interesting property, the Pitman estimator of the location parameter does not depend on the choice of the loss function.
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Gauss showed that arithmetic mean is indeed the best estimate of the location parameter by changing both the probability density and the method of estimation.
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Less commonly, the focus is on a quantile, or other location parameter of the conditional distribution of the dependent variable given the independent variables.
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As with other probability distributions, the Tukey lambda distribution can be transformed with a location parameter, ?, and a scale parameter, ?.
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The Hodges Lehmann estimator was proposed originally for estimating the location parameter of one-dimensional populations, but it has been used for many more purposes.
