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**Clustering correlated, sparse data streams to estimate a localized housing price index.**
*(English)*
Zbl 1391.62294

Summary: Understanding how housing values evolve over time is important to policy makers, consumers and real estate professionals. Existing methods for constructing housing indices are computed at a coarse spatial granularity, such as metropolitan regions, which can mask or distort price dynamics apparent in local markets, such as neighborhoods and census tracts. A challenge in moving to estimates at, for example, the census tract level is the scarcity of spatiotemporally localized house sales observations. Our work aims to address this challenge by leveraging observations from multiple census tracts discovered to have correlated valuation dynamics. Our proposed Bayesian nonparametric approach builds on the framework of latent factor models to enable a flexible, data-driven method for inferring the clustering of correlated census tracts. We explore methods for scalability and parallelizability of computations, yielding a housing valuation index at the level of census tract rather than zip code, and on a monthly basis rather than quarterly. Our analysis is provided on a large Seattle metropolitan housing dataset.

### MSC:

62P20 | Applications of statistics to economics |

62G05 | Nonparametric estimation |

62M10 | Time series, auto-correlation, regression, etc. in statistics (GARCH) |

62H30 | Classification and discrimination; cluster analysis (statistical aspects) |

91B82 | Statistical methods; economic indices and measures |