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Related to Likelihood function: Maximum likelihood estimation


A statement of the chance that an unknown quantity in reality has a particular value based on the readiness with which it would account for a given set of data; in this way the merits of various competing interpretations may be compared.



likelihood function
a method used to estimate unknown parameters, using a function constructed from a statistical model which gives the probability of the observed data for various values of the unknown parameter. The values which maximize the probability are the maximum likelihood estimates.
maximum likelihood estimates
see likelihood function (above).

Patient discussion about likelihood

Q. What is the likelihood of my depression returning? I have a history of severe depression. My mom is very against medication and counseling, and reluctantly allowed me to go on the lowest dosage of zoloft. It helped, but now she wants me to go off of it and stop going to my doctor. My fear is that my depression will return. What are the chances of my depression returning, and how can I handle it if and when it does?

A. hi kelly17 i agree with eleanor55, i donot have bi-polar-but it seems to me that the problem isnt YOU/it your mother-Im going to be real here-if your mother knows that the meds help why is she stopping them--I think the stigma of the disease is her problem,like the other members said, and if she is doing this to you for that reason/BAD ON HER---at 17 i think you are under age--I dont want to start a family feud but i think this is child abuse--talk to soom one at school teacher/ect----stay strong things get better with time you have a lot of friends her USE THEM---mrfot56

More discussions about likelihood
References in periodicals archive ?
For the Poisson distribution, the likelihood function is given by:
For each observation, the likelihood function must incorporate the possibility that intended use could have been in any block or at any kink in the rate structure, and that the error term could take on any value between -[infinity] and +[infinity], assuming that the error term is normally distributed.
Maximize the likelihood function in equation 9 (with the empirical Bayes priors), and record the vector of maximum likelihood estimates, [Mathematical Expression Omitted], and the variance matrix, [Mathematical Expression Omitted].
The LM model requires the estimation of one vector of means in each of the m x g cells, and it produces a likelihood function in which each observation is compared with the cell mean, not with the subpopulation mean.
In other words, the likelihood function is obtained by summing over all possible configurations of the ancestral samples at a time immediately after the populations diverged and by conditioning on the number of coalescence events.
Therefore, her likelihood function with n(i) observations can be written
11 Specifically, he suggests that one could interpret the estimator as 1) representing prior information which is equivalent to observed data, 2) the mode of a Bayesian posterior distribution, 3) an analogy with a Bayes estimator, or 4) a penalized maximum likelihood function.
I derived a maximum likelihood function to estimate the parameters of m(g) for each species/site combination.
To determine the number of hours associated with the switch from part-time to full-time, equations (1) and (2) are estimated and the following likelihood function is evaluated for all possible values of the switch point:
Therefore, density (1) may represent nothing more than a factor of the likelihood function discussed above or it may have a more thoroughly Bayesian meaning.
In fact, the above log likelihood function simplifies to the following expression: