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Minimum volume ellipsoid is a term for ellipsoid of the minimum volume which covers some specified proportion of the set of multivariate data. It is commonly used to construct robust estimators of the mean vectors and variance-covariance matrices. Such type of estimators has a high breakdown point but is computationally expensive. For instance, for an n × q data matrix X, if h is the integer part of n(n+1)/2 then volumes of n!/(h-n)! Ellipsoids required to be considered to find one with the minimum volume. So for the n=20 there are 184 756 ellipsoids and for the n=30 more than 155 million ellipsoids
Technically the multivariate analogue of the quasi-likelihood with the same feature that it leads to consistent inferences about the mean responses without needing specific supposi
How to estimate MLE for statistical anslysis using Markov Model?
4-13. Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previou
This is given by common network e.g. Phone Company. The public networks are those networks, which are given by common carriers. It can be a telephone company or an other organizati
The Current status data arise in the survival analysis if the observations are limited to the indicators of whether or not the event of interest has happened at the time the sample
Recurrence risk : Usually the probability that an individual experiences an event of interest given previous experience(s) of the event; for example, the probability of recurrence
Poisson regression In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regre
An approach of using the likelihood as the basis of estimation without the requirement to specify a parametric family for data. Empirical likelihood can be viewed as the example of
The diagnostic tools or devices used to approach the closeness to the linearity of the non-linear model. They calculate the deviation of so-called expectation surface from the plan
Negative hyper geometric distribution : In sampling without replacement from the population comprising of r elements of one kind and N - r of another, if two elements corresponding
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