ОVERVIEW OF STATISTICAL METHODS FOR FORECAST DEVELOPMENT

Anastasiia Gurmach
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Abstract

Having a general idea of the nature of the forecast and understanding the general methodology of forecasting in general, it is advisable for analytical departments, economic departments, management units of enterprises, banks, firms (of any socio-economic objects) to develop at least short-term forecasts based on indicators of their activity in modern conditions coopetitions to understand trends in changes in these indicators. As a result of the conducted research, the basic principles that must be observed when developing forecasts are revealed, as well as a detailed description and features of statistical auto-projective forecasting methods are given: random walk models containing a free term or it; models characterizing a deterministic trend with random fluctuations around the trend; moving average models; exponential smoothing models using simple exponential smoothing, linear, quadratic and seasonal smoothing (Brown, Holt, and Winters models); integrated presentation of autoregressive models and moving average models (parametric ARIMA models). In addition, the conducted research confirmed that the significance of the developed forecast and the level of confidence in the obtained future values of the indicators depends on the quality of the developed models. The criteria for checking the quality of the developed forecasts are: the Akaike information criterion, which evaluates the quality of the model compared to each other; the Hannan-Quinn Criterion information criterion, which is used to compare models with a different number of parameters and is an alternative to the Akaike information criterion; the Schwarz-Bayesian information Criterion, which compares the quality of a model relative to each other using a likelihood function; the mean squared error value, the absolute value of the mean squared error and the absolute value of the mean squared error expressed as a percentage.
预测发展的统计方法Оverview
对预测的性质有一个大致的了解,并了解一般预测的一般方法,建议分析部门、经济部门、企业、银行、公司(任何社会经济对象)的管理单位根据其在现代条件下的活动指标进行至少短期预测,以了解这些指标的变化趋势。研究结果揭示了进行预测时应遵循的基本原则,并详细描述了统计自动投影预测方法的特点:包含自由项或自由项的随机游走模型;以确定性趋势为特征的模型,在趋势周围随机波动;移动平均模型;指数平滑模型使用简单的指数平滑,线性,二次和季节性平滑(布朗,霍尔特和温特斯模型);综合介绍了自回归模型和移动平均模型(参数ARIMA模型)。此外,所进行的研究证实,所开发的预测的意义和对所获得的指标未来值的置信度取决于所开发模型的质量。检验预报质量的标准是:赤池信息标准,用于评价模型的相互比较质量;Hannan-Quinn准则信息准则,用于比较具有不同数量参数的模型,是Akaike信息准则的替代方案;施瓦茨-贝叶斯信息准则,它使用似然函数比较模型的相对质量;均方误差值、均方误差的绝对值和均方误差的绝对值以百分比表示。
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