Testing and Clustering with Gauss Linear Assumption for a Household Data

Valentina Fedorova, Evgeny Ivin, Ilia Nouretdinov, Alexander Gammerman

Research output: Other contribution

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Abstract

The paper considers an application of martingales for testing the hypothesis that the data are generated by the Gauss linear model. In addition, the martingales are also used for suggesting some possible clustering of the data. A Russian household dataset is taken to show results of this approach. In particular, with the help of martingales the households were split into groups with a similar structure of expenditure. It was assumed that within each group dependence of the household total consumption on its income can be described by the Gauss linear model. The structure of expenditure was tested for the households within the groups.
Original languageEnglish
Media of outputSymposium talk
PublisherSLDS 2012: Symposium on Learning and Data Science
Number of pages11
Publication statusPublished - 7 May 2012

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