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Seasonal Adjustment

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Seasonal adjustment is a statistical technique used to remove the effects of seasonal variations from time series data, allowing for clearer analysis of underlying trends and patterns. This process helps in making more accurate comparisons across different time periods by isolating non-seasonal influences.
lightbulbAbout this topic
Seasonal adjustment is a statistical technique used to remove the effects of seasonal variations from time series data, allowing for clearer analysis of underlying trends and patterns. This process helps in making more accurate comparisons across different time periods by isolating non-seasonal influences.

Key research themes

1. How can seasonal adjustment methods robustly handle evolving or complex seasonal patterns in economic time series?

This theme investigates the development and evaluation of statistical filters and model-based approaches designed to adjust economic time series exhibiting non-stationary (“moving”) or irregular seasonal behaviors. The need arises from observations that traditional seasonal adjustment methods, such as X-11, often perform inadequately under these conditions, leading to inaccurate seasonal component estimation. Given the widespread reliance on accurate seasonal adjustment for economic policy and decision-making, methodological improvements that enhance robustness against complex seasonal dynamics are critical.

Key finding: This paper proposes the Seasonal-WLS (S-WLS) filters designed in the frequency domain using least squares criteria to estimate seasonal components spread over frequency bands, thereby addressing 'moving seasonality' where... Read more
Key finding: This paper develops and applies a statistical combining rule and vector autoregressive models to optimally reconcile differences between directly and indirectly seasonally adjusted aggregate and component series (using... Read more
Key finding: Utilizing the ARIMA-model-based signal extraction provided by TRAMO-SEATS, this study demonstrates improved handling of heteroscedastic seasonal components and end-of-series trend-cycle stability compared to X12-ARIMA.... Read more
Key finding: Comparing non-filter-based (Ratio to moving average, Ratio to trend, SARIMA) and filter-based (X-11, X-13-ARIMA-SEATS) methods on Bangladesh’s monthly export and import data, the study finds that X-13-ARIMA-SEATS consistently... Read more

2. What statistical models and data treatment approaches best quantify and analyze seasonality in disease incidence and environmental/meteorological time series?

This research area explores model-based techniques to accurately capture, estimate, and interpret seasonal patterns in public health (disease incidence) and environmental data (e.g., temperature, sunshine hours). It addresses challenges of sharp seasonal peaks, complex temporal fluctuations, and missing data, emphasizing statistical rigor and methodological transparency. These approaches are vital for forecasting, epidemiological understanding, and climate variability assessments.

Key finding: The paper introduces a two-step harmonic regression model that extends traditional sine and cosine terms by including new transform functions mimicking quadratic terms. This enhanced approach successfully fits disease... Read more
Key finding: By segmenting the year into increasingly finer temporal units (from calendar month to 8-day periods) and modeling USCRN daily mean temperatures with dummy-coded variables, this study achieves more precise removal of seasonal... Read more
Key finding: The authors provide theoretical bounds linking imputation error to trend estimation error when applying seasonal-trend decomposition based on locally weighted regression (STL) on time series with missing observations. They... Read more
Key finding: This study applies deterministic monthly trend models with ARMA error structures to U.K. sunshine hour data from 1919-2022, finding significant increases in winter and spring sunshine hours, while summer and autumn show... Read more

3. How does tourism seasonality manifest temporally and spatially, and what methodologies effectively analyze and quantify its patterns for sustainable tourism development?

Research within this theme focuses on understanding tourism demand fluctuations across temporal scales and regions, particularly in the Mediterranean and selected tourism destinations. It identifies the challenges posed by concentrated peak seasons and investigates quantitative and qualitative tools to measure and manage seasonality. Insights inform policy and strategic planning for mitigating negative impacts of seasonality, sustaining economic benefits, and enhancing regional competitiveness.

Key finding: Utilizing monthly overnight stays data (2000-2019) across Mediterranean countries, this study clusters destinations by seasonality profiles, revealing distinct temporal patterns and intensities of tourism demand. It advances... Read more
Key finding: Applying quantitative measures including the Gini index combined with consumer surveys and expert interviews, this study documents significant seasonality in tourism demand (2008-2021) for the Sopron-Fertő destination,... Read more

All papers in Seasonal Adjustment

This paper examines the use and environmental consequences of engineered structures on reef platform islands in the Maldives. The Maldives comprises 1 500 islands which are mostly low-lying sand cays. These cays are inherently unstable,... more
Objective: To develop a time series model and analyze the characteristic fluctuations of the average white eggs consumer prices in the Mexico Valley (AWECP), quantifying the seasonal and cyclical fluctuations of said prices.... more
I declare that this thesis was composed by myself and that the work contained therein is my own, except where listed below. This work has not been submitted in whole or part for any other degree. Chapter 2 was originally published as O.... more
A Perspective on the Houston Economy we are dealing with two data series-the preliminary and revised data-and that seasonal variation differs in the two series.
This study aimed to forecast the monthly electricity expenses of a single household in the Philippines using time series analysis, with the goal of supporting informed financial planning and energy management at the residential level.... more
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or... more
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or... more
This paper analyses the temporal dynamic of longterm fraction of Absorbed Photosynthetically Active Radiation (fAPAR) time series over Europe as derived from a 15 years dataset of satellite images collected between 2001 and 2015 from the... more
This paper applies methods of seasonal ARIMA time series analysis to U. S. monthly birth and death rates for January 1950–December 1978. For model selection, the conventional Box-Jenkins (1970, 1976) diagnostic checks are used in... more
A model for the integrate mo of order one, IMA (1, 1), having a seasonal (cyclic) component is presented. The model incorporates a parameter for possible change in level of the process after intervention, following methods developed by... more
Trabajo escrito en colaboración con la Inteligencia Artificial. Nota del autor Este trabajo ha sido desarrollado de manera independiente por Daniel Monteagut Rosales, investigador autodidacta con formación en ciencias médicas y... more
Resulta evidente la importancia que tiene para las decisiones de política económica poder separar aquellos movimientos seculares en las variables económicas de sus componentes estacionales, tanto para interpretar los datos de la coyuntura... more
This paper examines the implications of applying the Hylleberg, Engle, Granger, and Yoo (1990,Journal of Econometrics44, 215–238) (HEGY) seasonal root tests to a process that is periodically integrated. As an important special case, the... more
We test for the presence of low-dimensional chaotic structure in the Stock Exchange of Thailand (SET) Index. While we find strong evidence of nonlinear dependencies, the evidence is not consistent with chaos. Our test results indicate... more
We test for the presence of low-dimensional chaotic structure in the Stock Exchange of Thailand (SET) Index. While we find strong evidence of nonlinear dependencies, the evidence is not consistent with chaos. Our test results indicate... more
We conduct tests for the presence of low-dimensional chaotic structure in the futures prices of four important agricultural commodities. Though there is strong evidence of non-linear dependence, the evidence suggests that there is no... more
Ajuste estacional de series macroeconómicas chilenas * Las series ajustadas por estacionalidad permiten un análisis más directo de los movimientos subyacentes que exhiben las variables económicas y, por lo tanto, contribuyen al... more
The Central Bank of Bangladesh publishes financial data on a weekly, quarterly, monthly, and yearly basis. Among the published data, GDP, production, export, import, balance payment, wage earners remittance, Stock etc. are time-based and... more
This study examines the properties of monthly CPI inflation in G7 countries and the Euro area (aggregate) over the period 1973-2007 using a new iterative decomposition procedure that separates changes in mean, seasonal and dynamic... more
This research work evaluates the performance of advance GARCH family models in modeling and forecasting of petroleum pump price in the event of extreme data outlier and volatility in Nigeria by addressing the problems related to extreme... more
The analysis of prices and market arrivals over time is important for formulating a sound agricultural price policy. Fluctuations in market arrivals largely contribute to price instability. In order to devise the appropriate ways and... more
In Nigeria, the average monthly quantity of currency in circulation (CIC) has increased by 269 billion nairas, reaching 2.13 trillion as of 2019 and 2.41 trillion as of 2020. The current value of currency in circulation is expected to be... more
Existen efectos calendario definidos como patrones estacionales irregulares que afectan el comportamiento de las series económicas. En este documento se utilizaron las metodologías de Tramo-Seats propuesta por Gómez y Maravall (1994,... more
Seasonal cointegration generalizes the idea ofcointegration to processes with unit roots at frequencies different from 0. Here, "common seasonals," also a dual notion of common trends, is adopted for the seasonal case. The features are... more
Abstract: Seasonal cointegration generalizes the idea of cointegration to processes with unit roots at frequencies different from 0. Here, also the dual notion of common trends, "common seasonals", is adopted for the seasonal... more
This article is addressed to the problem of modeling and exploring mean value structure of large-scale time series data and time-space data. A smoothness prior modeling approach (Smoothness Prior Analysis of Time Series, Lecture Notes in... more
This paper uses a EGARCH method to model inflation uncertainty in Turkey. Unlike ARCH and GARCH methods, the EGARCH method both hampers the effect of outlying shocks in the estimation of inflation uncertainty and enables the separate... more
Sea surface temperature (SST) fields obtained from the series of space-borne five-channel Advanced Very High Resolution Radiometers (AVHRRs) provide the longest continuous time series of global SST available to date (1981–present). As a... more
Background/Aims: Type-1 diabetics have been considered to be at risk for increased oxidative stress which has been implicated in the development of long-term diabetes complications. Evidence suggests that antioxidant activity may be an... more
We propose recent functional data analysis techniques to study the intra-daily volatility. In particular, the volatility extraction is based on functional principal components and the volatility prediction on functional AR(1) models. The... more
This paper examines the performance of Random Forest models for forecasting short-term monthly inflation in Argentina, especially for the current month or the following. Using a database with indicators on a monthly basis since 1962, it... more
The aim of this work has been assessment of regional atmospheric influence on satellite derivation of the Adriatic Sea surface temperature (SST). To that end the ECMWF ERA-40 reanalysis dataset has been employed to provide the temperature... more
The Central Bank of Bangladesh publishes financial data on a weekly, quarterly, monthly, and yearly basis. Among the published data, GDP, production, export, import, balance payment, wage earners remittance, Stock etc. are time-based and... more
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This project is aimed at the description and analysis of the determinants and short and long term effects of the economic policies in Argentina and in the global economy. In particular, it is focused on monetary, financial, fiscal,... more
The ARIMA-model-based methodology of programs TRAMO and SEATS is applied for seasonal adjustment and trend-cycle estimation of the exports, imports, and balance of trade Japanese series. The programs are used in an automatic mode, and the... more
A partir del segundo trimestre de 2009 la actividad económica global comenzó a mostrar señales de recuperación, luego de la recesión generada por la crisis subprime. Sin embargo, el optimismo de fines de 2009 ha dejado lugar a una mayor... more
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Resumen El incremento en los precios internacionales de los commodities exportados por Argentina se presenta usualmente como un viento de cola que explica tanto el fuerte desempeño en materia de crecimiento como las buenas condiciones... more
A model for the integrate mo of order one, IMA (1, 1), having a seasonal (cyclic) component is presented. The model incorporates a parameter for possible change in level of the process after intervention, following methods developed by... more
The U. S. Census Bureau's enhanced X-12-ARIMA seasonal ad justment p rogram includes the automatic ARIMA (Autoregressive Integrated M oving Average) model selection procedure developed by Statistics Canada and a second procedure based... more
Several methods exist which can adjust for trading day and holiday effects in monthly economic time series. This paper reviews and compares two such methodologies for conducting proper adjustments. The two methodologies are based upon the... more
This document,gives details about,the recently released Version 0.3 of the X-12-ARIMA seasonal,adjustment,software. New features are highlighted, and dierences between Version 0.3 and Version 0.2.10 of X-12- ARIMA are detailed. Several... more
This paper will give the latest developments in two ongoing software projects. One is a joint collaboration with the current developers of the SEATS seasonal adjustment program, X-13ARIMA-SEATS, officially released by the Census Bureau in... more
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