Arbeitspapier

Dynamic Predictive Density Combinations for Large Data Sets in Economics and Finance

A Bayesian nonparametric predictive model is introduced to construct time-varying weighted combinations of a large set of predictive densities. A clustering mechanism allocates these densities into a smaller number of mutually exclusive subsets. Using properties of the Aitchinson's geometry of the simplex, combination weights are defined with a probabilistic interpretation. The classpreserving property of the logistic-normal distribution is used to define a compositional dynamic factor model for the weight dynamics with latent factors defined on a reduced dimension simplex. Groups of predictive models with combination weights are updated with parallel clustering and sequential Monte Carlo filters. The procedure is applied to predict Standard & Poor's 500 index using more than 7000 predictive densities based on US individual stocks and finds substantial forecast and economic gains. Similar forecast gains are obtained in point and density forecasting of US real GDP, Inflation, Treasury Bill yield and employment using a large data set.

ISBN
978-82-7553-875-6
Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 12/2015

Classification
Wirtschaft
Bayesian Analysis: General
Statistical Simulation Methods: General
Forecasting Models; Simulation Methods
Prices, Business Fluctuations, and Cycles: Forecasting and Simulation: Models and Applications
Subject
GPU computing
Bayesian inference
density combination
large set of predictive densities
compositional factor models
nonlinear state space

Event
Geistige Schöpfung
(who)
Casarin, Roberto
Grassi, Stefano
Ravazzolo, Francesco
van Dijk, Herman K.
Event
Veröffentlichung
(who)
Norges Bank
(where)
Oslo
(when)
2015

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Casarin, Roberto
  • Grassi, Stefano
  • Ravazzolo, Francesco
  • van Dijk, Herman K.
  • Norges Bank

Time of origin

  • 2015

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