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Statistical Modelling: Application to the financial sector

Cláudia RoçadasTeresa A. OliveiraJoão T. Mexia — 2011

Discussiones Mathematicae Probability and Statistics

Our research is centred on the stochastic structure of matched open populations, subjected to periodical reclassifications. These populations are divided into sub-populations. In our application we considered two populations of customers of a bank: with and without account manager. Two or more of such population are matched when there is a 1-1 correspondence between their sub-populations and the elements of one of them can go to another, if and only if the same occurs with elements from the...

Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models

Aníbal AreiaFrancisco CarvalhoJoão T. Mexia — 2015

Open Mathematics

We will discuss orthogonal models and error orthogonal models and their algebraic structure, using as background, commutative Jordan algebras. The role of perfect families of symmetric matrices will be emphasized, since they will play an important part in the construction of the estimators for the relevant parameters. Perfect families of symmetric matrices form a basis for the commutative Jordan algebra they generate. When normality is assumed, these perfect families of symmetric matrices will ensure...

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