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Aspects of analysis of multivariate failure time data.

Ross L. Prentice, John D. Kalbfleisch (2003)

SORT

Multivariate failure time data arise in various forms including recurrent event data when individuals are followed to observe the sequence of occurrences of a certain type of event; correlated failure time when an individual is followed for the occurrence of two or more types of events for which the individual is simultaneously at risk, or when distinct individuals have depending event times; or more complicated multistate processes where individuals may move among a number of discrete states over...

Asymptotic covariances for the generalized gamma distribution

Christopher S. Withers, Saralees Nadarajah (2011)

Applicationes Mathematicae

The five-parameter generalized gamma distribution is one of the most flexible distributions in statistics. In this note, for the first time, we provide asymptotic covariances for the parameters using both the method of maximum likelihood and the method of moments.

Asymptotic properties of the growth curve model with covariance components

Ivan Žežula (1997)

Applications of Mathematics

We consider a multivariate regression (growth curve) model of the form Y = X B Z + ε , E ε = 0 , var ( vec ε ) = W ⊗ Σ , where W = ∑ i = 1 k θ i V i and θ i ’s are unknown scalar covariance components. In the case of replicated observations, we derive the explicit form of the locally best estimators of the covariance components under normality and asymptotic confidence ellipsoids for certain linear functions of the first order parameters { B i j } estimating simultaneously the first and the second order parameters.

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