Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression

Inventory control systems typically require the frequent updating of forecasts for many different products. In addition to point predictions, interval forecasts are needed to set appropriate levels of safety stock. The series considered in this paper are characterised by high volatility and skewness...

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Main Author: Taylor, J
Format: Journal article
Published: 2007
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author Taylor, J
author_facet Taylor, J
author_sort Taylor, J
collection OXFORD
description Inventory control systems typically require the frequent updating of forecasts for many different products. In addition to point predictions, interval forecasts are needed to set appropriate levels of safety stock. The series considered in this paper are characterised by high volatility and skewness, which are both time-varying. These features motivate the consideration of forecasting methods that are robust with regard to distributional assumptions. The widespread use of exponential smoothing for point forecasting in inventory control motivates the development of the approach for interval forecasting. In this paper, we construct interval forecasts from quantile predictions generated using exponentially weighted quantile regression. The approach amounts to exponential smoothing of the cumulative distribution function, and can be viewed as an extension of generalised exponential smoothing to quantile forecasting. Empirical results are encouraging, with improvements over traditional methods being particularly apparent when the approach is used as the basis for robust point forecasting.
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spelling oxford-uuid:fc1ce78b-2155-408c-b8d6-2c4389997e762022-03-27T13:18:28ZForecasting Supermarket Sales Using Exponentially Weighted Quantile RegressionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fc1ce78b-2155-408c-b8d6-2c4389997e76Saïd Business School - Eureka2007Taylor, JInventory control systems typically require the frequent updating of forecasts for many different products. In addition to point predictions, interval forecasts are needed to set appropriate levels of safety stock. The series considered in this paper are characterised by high volatility and skewness, which are both time-varying. These features motivate the consideration of forecasting methods that are robust with regard to distributional assumptions. The widespread use of exponential smoothing for point forecasting in inventory control motivates the development of the approach for interval forecasting. In this paper, we construct interval forecasts from quantile predictions generated using exponentially weighted quantile regression. The approach amounts to exponential smoothing of the cumulative distribution function, and can be viewed as an extension of generalised exponential smoothing to quantile forecasting. Empirical results are encouraging, with improvements over traditional methods being particularly apparent when the approach is used as the basis for robust point forecasting.
spellingShingle Taylor, J
Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title_full Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title_fullStr Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title_full_unstemmed Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title_short Forecasting Supermarket Sales Using Exponentially Weighted Quantile Regression
title_sort forecasting supermarket sales using exponentially weighted quantile regression
work_keys_str_mv AT taylorj forecastingsupermarketsalesusingexponentiallyweightedquantileregression