Normality tests for latent variables

B-Tier
Journal: Quantitative Economics
Year: 2019
Volume: 10
Issue: 3
Pages: 981-1017

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We exploit the rationale behind the Expectation Maximization algorithm to derive simple to implement and interpret LM normality tests for the innovations of the latent variables in linear state space models against generalized hyperbolic alternatives, including symmetric and asymmetric Student ts. We decompose our tests into third and fourth moment components, and obtain one‐sided likelihood ratio analogues, whose asymptotic distribution we provide. When we apply our tests to a common trend model which combines the expenditure and income versions of US aggregate real output to improve its measurement, we reject normality if the sample period extends beyond the Great Moderation.

Technical Details

RePEc Handle
repec:wly:quante:v:10:y:2019:i:3:p:981-1017
Journal Field
General
Author Count
3
Added to Database
2026-01-24