Available with Image Analyst license.
Available with Spatial Analyst license.
Overview
Calculates statistics over a moving window on multidimensional data along a specified dimension.
Notes
Moving statistics can also be called moving window statistics, rolling statistics, or running statistics. A predefined window around each dimension value is used to calculate various statistics and then move to the next. The Backward Window and Forward Window parameters allow you to define window sizes on both sides of the dimension.
The input raster can only be a multidimensional raster in Cloud Raster Format (.crf file).
Only one dimension will be processed by this function. By default, the first dimension other than x,y will be used as the processing dimension.
The Circular Mean statistics type is calculates the mean for angles or other cyclic quantities, such as compass direction in degrees. When this option is selected, the Circular Wrap Value parameter becomes available. Use this parameter to designate a value to wrap around to calculate the circular mean. For example, for angle calculation, the circular wrap value should be 360 degrees, which means the value 360 will be wrapped to 0, and the value 370 will be wrapped to 10. Another use is for time calculations of months in a year, in which case the circular wrap value should be 12. In this case, an input value of 13 will be wrapped to 1.
If the input multidimensional raster is integer, the valid options for Statistics type are Mean, Circular Mean, Majority, Maximum, Median, Minimum, and Percentile. If the input raster is float, Majority is not available.
If the input raster is integer, the output raster will be integer for the Majority, Maximum, and Minimum statistics. The output will be float for Mean, Circular Mean, Median, and Percentile.
If the input raster is of float type, the output will be float for all of the available statistic types.
For the Majority setting of the Statistics type parameter, if one cell value occurs most frequently in the neighborhood (a single value with the highest frequency of occurrence), that value will be returned for the processing cell. If two or more cell values have the highest frequency of occurrence (a tie among cell values), no single majority value is identified, and the output for that processing cell will be NoData.
Parameters
Parameter name  Description 

Input Raster (Required)  The input raster can only be a multidimensional raster in Cloud Raster Format (.crf file). 
Dimension  The name of the dimension along which the window will move. The default value is the first dimension other than x,y found in the input multidimensional raster. 
Backward Window  The value of how many slices before or above to be included in the defined window. The value must be a positive integer from 1 to 100. The default value is 1. The unit of this parameter is slice. 
Forward Window  The value of how many slices after or below to be included in the defined window. The value must be a positive integer from 1 to 100. The default value is 1. The unit of this parameter is slice. 
NoData Handling  Specifies how NoData values will be handled by the statistic calculation.

Statistics Type  Specifies the statistic type to be calculated.

Percentile Value  The percentile that will be calculated when Percentile is selected as the statistics type. The default is 90, for the 90th percentile. The values can range from 0 through 100. The 0th percentile is essentially equivalent to the minimum statistic, and the 100th percentile is equivalent to the maximum statistic, with the exception that the result will be floating point. A value of 50 will produce the same result as the median statistic. 
Percentile Interpolation Type  Specifies the method of interpolation that will be used when the percentile value falls between two cell values.

Circular Wrap Value  The value that will be used to convert a linear value to the range of a given circular mean. Its value must be positive. The default value is 360 degrees. 