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What does up to a multiplicative constant mean?
Up to a multiplicative constant, the integrand in the equations (18.131) can be written in the form. (18.132) The energy of the phonons that make the largest contribution to the internal energy of a crystal is obtained from the maximum of the function f = f(w), which is obtained from the condition. (18.133)
How do you define likelihood?
: the chance that something will happen : probability There’s very little likelihood of that happening.
What does up to means in math?
When one says “X is true up to Y”, then one means that it is not strictly speaking correct that X is true, and the Y which occurs after the up to clarifies the sense in which X is not quite true. Thus it really means “Roughly speaking X is true, except for Y”.
Is up to mean including?
Up to usually means including. However, in product packaging, up to is usually only used if there is a catch or some “special” way of getting to that number.
Function related to statistics and probability theory. In statistics, the likelihood function (often simply called likelihood) expresses how probable a given set of observations is for different values of statistical parameters.
How is a density function different from a likelihood function?
However, whereas the latter is a density function defined on the sample space for a particular choice of parameter values, the likelihood function is defined on the parameter space while the random variable is fixed at the given observations.
What do you need to know about likelihood?
You need to remember that “likelihood” is a technical term. The likelihood of H, Pr (O|H), and the posterior probability of H, Pr (H|O), are different quantities and they can have different values.
What is the maximum likelihood of a parameter?
The maximum likelihood (ML) estimate of a parameter is the value of that parameter under which your actual observed data are most likely, relative to any other possible values of the parameter.