The photon-counting correlation phenomena first observed by Hanbury, Brown, and Twiss are analyzed using methods from the theories of stochastic processes and quantized fields. A quantized field excited by a c-number source exhibits counting correlations when the c-number part of the field is a sample function of a random process with statistically independent modes, an example of which is shown to be a black-body radiation field. The counting covariance for such fields is found to be the sum of two terms: a "quantum mechanical" term that is a consequence of the lack of commutability of the field operators and a term that can be derived from classical theory. A discussion of the counting correlation effect from the viewpoint of quantum statistical mechanics is given to demonstrate that the "bunching of boson" explanation of the effect is incorrect. Counting correlations in more general types of fields are considered. 59 pp.
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