The Acquisition Probability for a Minimum Distance One-Class Classifier

An approximation for the acquisition probability for a minimumdistance one-class classifier is derived. An exact expression for theacquisition probability is dependent upon the operatingcharacteristics in the distance space, the number of targets detected,and the number of other objects detected. An approximateexpression replaces the operating characteristics curve by a singlepoint. Experimental results are presented to demonstrate thevalidity of the approximation. Combinatorial techniques can be usedwhen only the total number of objects detected is known. All ofthese results can be extended to include the multitarget, multipleshotcase.