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Some conditional distributions of the structure factors and related conditional expectation values

Herbert A. Hauptman

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Abstract

Accurate probability distributions of several structure factors and their magnitudes which have been obtained recently are employed here to derive in a systematic way a number of conditional distributions and associated conditional expectation values. The latter have found application in the development of new methods of phase determination.

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Accurate probability distributions of several structure factors and their magnitudes which have been obtained recently are employed here to derive in a systematic way a number of conditional distributions and associated conditional expectation values. The latter have found application in the development of new methods of phase determination.

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Available abstract

Accurate probability distributions of several structure factors and their magnitudes which have been obtained recently are employed here to derive in a systematic way a number of conditional distributions and associated conditional expectation values. The latter have found application in the development of new methods of phase determination.

Key concepts: Conditional probability distribution, Conditional probability, Conditional dependence, Conditional variance, Conditional expectation, Regular conditional probability, Statistical physics, Mathematics

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