Arbeitspapier

Nonparametric identification of dynamic models with unobserved state variables

We consider the identification of a Markov process {Wt, Xt*} for t=1,2,...,T when only {Wt} for t=1, 2,..,T is observed. In structural dynamic models, Wt denotes the sequence of choice variables and observed state variables of an optimizing agent, while Xt* denotes the sequence of serially correlated state variables. The Markov setting allows the distribution of the unobserved state variable Xt* to depend on Wt-1 and Xt-1*. We show that the joint distribution of (Wt, Xt*, Wt-1, Xt-1*) is identified from the observed distribution of (Wt+1, Wt, Wt-1, Wt-2, Wt-3) under reasonable assumptions. Identification of the joint distribution of (Wt, Xt*, Wt-1, Xt-1*) is a crucial input in methodologies for estimating dynamic models based on the conditional-choice-probability (CCP) approach pioneered by Hotz and Miller.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP13/08

Classification
Wirtschaft
Subject
Markovscher Prozess
Ökonometrie

Event
Geistige Schöpfung
(who)
Hu, Yingyao
Shum, Matthew
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2008

DOI
doi:10.1920/wp.cem.2008.1308
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Hu, Yingyao
  • Shum, Matthew
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2008

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