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# Exponential Smoothing

Results in a smoothed data series

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Choose Data - Statistics - Exponential Smoothing

Exponential smoothing is a filtering technique that when applied to a data set, produces smoothed results. It is employed in many domains such as stock market, economics and in sampled measurements.

For more information on exponential smoothing, refer to the corresponding Wikipedia article.

### 数据

「输入范围」: 要分析的数据范围的引用。

「结果输出到」: 显示结果的区域左上角的单元格的引用。

#### 分组条件

选择输入数据是否具有「列」或「行」布局。

## Parameters

Smoothing Factor: A parameter between 0 and 1 that represents the damping factor Alpha in the smoothing equation.

#### 示例

下表有两个时间序列, 一个表示时间 t=0 的脉冲函数, 另一个表示时间 t=2 的脉冲函数。

| A | B
1 | 1 | 0
2 | 0 | 0
3 | 0 | 1
4 | 0 | 0
5 | 0 | 0
6 | 0 | 0
7 | 0 | 0
8 | 0 | 0
9 | 0 | 0
10 | 0 | 0
11 | 0 | 0
12 | 0 | 0
13 | 0 | 0

The resulting smoothing is below with smoothing factor as 0.5:

Alpha |
0.5 |
Column 1 | Column 2
1 | 0
1 | 0
0.5 | 0
0.25 | 0.5
0.125 | 0.25
0.0625 | 0.125
0.03125 | 0.0625
0.015625 | 0.03125
0.0078125 | 0.015625
0.00390625 | 0.0078125
0.001953125 | 0.00390625
0.0009765625 | 0.001953125
0.0004882813 | 0.0009765625
0.0002441406 | 0.0004882813

相关主题

Sampling

Descriptive Statistics

Analysis of Variance (ANOVA)

Correlation

Covariance

Exponential Smoothing

Moving Average

Regression Analysis

Paired t-test

F-test

Z-test

Chi-square test

Fourier Analysis