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Exponential smoothing. Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function. Whereas in the simple moving average the past observations are weighted equally, exponential functions are used to assign exponentially decreasing weights over time.
In statistics, a moving average (rolling average or running average or moving mean[ 1 ] or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: simple, cumulative, or weighted forms. Mathematically, a moving average is a type of convolution.
A return period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, [1] landslides, [2] or river discharge flows to occur. It is a statistical measurement typically based on historic data over an extended period, and is used usually for risk ...
The United States Naval Observatory states "the Equation of Time is the difference apparent solar time minus mean solar time", i.e. if the sun is ahead of the clock the sign is positive, and if the clock is ahead of the sun the sign is negative. [6] [7] The equation of time is shown in the upper graph above for a period of slightly more than a ...
In finance, the weighted-average life (WAL) of an amortizing loan or amortizing bond, also called average life, [1][2][3] is the weighted average of the times of the principal repayments: it's the average time until a dollar of principal is repaid. In a formula, [4] where: is the time (in years) from the calculation date to payment . If desired ...
In mathematics and statistics, a circular mean or angular mean is a mean designed for angles and similar cyclic quantities, such as times of day, and fractional parts of real numbers. This is necessary since most of the usual means may not be appropriate on angle-like quantities. For example, the arithmetic mean of 0° and 360° is 180°, which ...
In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean average of the numbers 2, 3, 4, 7, and 9 (summing to ...
Microsoft Excel A simple bar graph being created in Excel, running on Windows 11 Developer(s) Microsoft Initial release November 19, 1987 ; 36 years ago (1987-11-19) Stable release 2312 (Build 17126.20132) / January 9, 2024 ; 9 months ago (2024-01-09) Written in C++ (back-end) Operating system Microsoft Windows Type Spreadsheet License Trialware Website microsoft.com microsoft-365 /excel ...