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Tests for time series linearity
Melicherčík, Martin ; Prášková, Zuzana (advisor) ; Hendrych, Radek (referee)
Title: Testing for linearity in time series Author: Martin Melicherčík Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Zuzana Prášková, CSc., Department of Probability and Mathematical Statistics Abstract: In the first part of the thesis, a necessary theoretical base from time series analysis is explained, which is consequently used to formulate several tests for linearity. According to variety of approaches the theory includes wide range of knowledge from correlation and spectral analysis and introduces some basic nonlinear models. In the second part, linearity tests are described, classified and compared both theoretically and practically on simulated data from several linear and nonlinear models. At the end, some scripts and hints in R language are introduced that could be used when applying tests to real data. Keywords: linear time series, bispectrum, testing for linearity, nonlinear models
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Three Essays on Empirical Analysis of Economic Policy
Baxa, Jaromír ; Vošvrda, Miloslav (advisor) ; Vašíček, Osvald (referee) ; Hančlová, Jana (referee) ; Slačálek, Jiří (referee)
This dissertation thesis is focused on the empirical analysis of monetary and fiscal policy using nonlinear models. In the first part, I examine the evolution of monetary policy rules in a group of inflation targeting countries. I apply a moment-based estimator in a time-varying parameter model with endogenous regressors. The main findings are twofold. First, with adoption of inflation targeting, coefficients in the monetary policy rules changed rather gradually. Second, the response of interest rates to inflation is particularly strong during periods when central bankers want to break a record of high inflation. Contrary to common view, the response of interest rates to inflation becomes less aggressive after the adoption of inflation targeting, suggesting a positive anchoring effect of this regime on inflation expectations. The second part discusses whether and how the selected central banks responded to episodes of financial stress over the last three decades. The time-varying monetary policy rule is extended for an indicator of financial stress, in order to show the departures of policy rules under financial instability. The findings suggest that central banks often decrease policy rates in the face of high financial stress. However, the size of the policy response varies substantially over time as well...
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Tests for time series linearity
Melicherčík, Martin ; Prášková, Zuzana (advisor) ; Hendrych, Radek (referee)
Title: Testing for linearity in time series Author: Martin Melicherčík Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Zuzana Prášková, CSc., Department of Probability and Mathematical Statistics Abstract: In the first part of the thesis, a necessary theoretical base from time series analysis is explained, which is consequently used to formulate several tests for linearity. According to variety of approaches the theory includes wide range of knowledge from correlation and spectral analysis and introduces some basic nonlinear models. In the second part, linearity tests are described, classified and compared both theoretically and practically on simulated data from several linear and nonlinear models. At the end, some scripts and hints in R language are introduced that could be used when applying tests to real data. Keywords: linear time series, bispectrum, testing for linearity, nonlinear models
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