Abstract

The aim of the paper is to provide a recent overview of Kalman filter employment in the non-accelerating inflation rate of unemployment (NAIRU) estimation. The NAIRU plays a key part in an economic system. A certain unemployment rate which is consistent with a stable rate of inflation is one of the conditions for economic system stability. Since the NAIRU cannot be directly observed and measured, it is one of the most fitting problems for the Kalman filter application. The search for original, NAIRU focused and Kalman filter employment studies was performed in three scientific databases: Web of Science, Scopus, and ScienceDirect. A sample of 152 papers was narrowed down to 25 studies, which were described in greater detail regarding the focus, methods, model features, limitations, and other characteristics. A group of studies using a purely statistical approach of decomposing unemployment into a trend and cyclical component was identified. The next group uses the reduced-form approach which is sometimes combined with statistical decomposition. In such cases, the models are usually based on the backward-looking Phillips curve. Nevertheless, the forward-looking, New Keynesian or rarely hybrid New Keynesian variant can also be encountered.

Highlights

  • The Kalman filter is considered to be a theoretical basis for various recursive methods applied in stochastic dynamic systems

  • The non-accelerating inflation rate of unemployment (NAIRU) is in its nature an unobservable phenomenon, and the Kalman filter can serve as one of the means for its estimation

  • It represents the decomposition of unemployment into structural, frictional and cyclical, where the first two components are considered as the NAIRU

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Summary

Introduction

The Kalman filter is considered to be a theoretical basis for various recursive methods applied in stochastic (linear) dynamic systems. The Kalman filter can be applied in varied domains of the prevailingly technical character, as for example in case of the localization of moving objects and navigation—the Kalman filter or Kalman filters in general are used in global navigation satellite systems (GPS, etc.), in radars, in the case of navigation and control of robots, in autopilots or autonomous vehicles, in computer vision for tracking objects in videos, in augmented and virtual reality, etc Their application in the sphere of econometrics cannot be ignored, especially in the case of econometric models in which there is at least one variable which cannot be directly observed and measured

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