Summary
The SearchNeighborhoodStandardCircular class can be used to define the search neighborhood for Empirical Bayesian Kriging, IDW, Local Polynomial Interpolation, and Radial Basis Functions.
Syntax
SearchNeighborhoodStandardCircular ({radius}, {angle}, {nbrMax}, {nbrMin}, {sectorType})| Parameter | Explanation | Data Type | 
radius  | The distance, in map units, specifying the length of the radius of the searching circle.  | Double | 
angle  | The angle of the search circle. This parameter will only affect the angle of the sectors.  | Double | 
nbrMax  | Maximum number of neighbors, within the search ellipse, to use when making the prediction.  | Long | 
nbrMin  | Minimum number of neighbors, within the search ellipse, to use when making the prediction.  | Long | 
sectorType  | The searching ellipse can be divided into 1, 4, 4 with an offset of 45º, or 8 sectors.  | String | 
Properties
| Property | Explanation | Data Type | 
| angle (Read and Write)  | The angle of the search ellipse.  | Double | 
| radius (Read and Write)  | The distance, in map units, specifying the length of the radius of the searching circle.  | Double | 
| nbrMax (Read and Write)  | Maximum number of neighbors, within the search ellipse, to use when making the prediction.  | Long | 
| nbrMin (Read and Write)  | Minimum number of neighbors, within the search ellipse, to use when making the prediction.  | Long | 
| nbrType (Read Only)  | The neighborhood type: Smooth or Standard.  | String | 
| sectorType (Read and Write)  | The searching ellipse can be divided into 1, 4, 4 with an offset of 45º, or 8 sectors.  | String | 
Code sample
An example of SearchNeighborhoodStandardCircular with Empirical Bayesian Kriging to produce an output raster.
import arcpy
arcpy.ga.EmpiricalBayesianKriging("ca_ozone_pts", "OZONE", "outEBK", "C:/gapyexamples/output/ebkout",
                                  10000, "NONE", 50, 0.5, 100,
                                  arcpy.SearchNeighborhoodStandardCircular(300000, 0, 15, 10, "ONE_SECTOR"),
                                  "PREDICTION", "", "", "")An example of SearchNeighborhoodStandardCircular with Empirical Bayesian Kriging to produce an output raster.
# Name: EmpiricalBayesianKriging_Example_02.py
# Description: Bayesian kriging approach whereby many models created around the
#   semivariogram model estimated by the restricted maximum likelihood algorithm is used.
# Requirements: Geostatistical Analyst Extension
# Author: ESRI
# Import system modules
import arcpy
# Set environment settings
arcpy.env.workspace = "C:/gapyexamples/data"
# Set local variables
inPointFeatures = "ca_ozone_pts.shp"
zField = "ozone"
outLayer = "outEBK"
outRaster = "C:/gapyexamples/output/ebkout"
cellSize = 10000.0
transformation = "NONE"
maxLocalPoints = 50
overlapFactor = 0.5
numberSemivariograms = 100
# Set variables for search neighborhood
radius = 300000
angle = 0
maxNeighbors = 15
minNeighbors = 10
sectorType = "ONE_SECTOR"
searchNeighbourhood = arcpy.SearchNeighborhoodStandardCircular(radius,
                                                       angle, maxNeighbors,
                                                       minNeighbors, sectorType)
outputType = "PREDICTION"
quantileValue = ""
thresholdType = ""
probabilityThreshold = ""
# Execute EmpiricalBayesianKriging
arcpy.ga.EmpiricalBayesianKriging(inPointFeatures, zField, outLayer, outRaster,
                                  cellSize, transformation, maxLocalPoints, overlapFactor, numberSemivariograms,
                                  searchNeighbourhood, outputType, quantileValue, thresholdType, probabilityThreshold)