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28105 documents, page 1 of 2811

Structure of the Vertex Function

Deser, Stanley; Gilbert, Walter; Sudarshan, E. C. G. (1959)
An integral representation as a function of invariants is found for the Fourier transform of the matrix element between the vacuum and a one-particle state of the retarded commutator of two currents. A special case is a spectral representation for the vertex as a function of momentum transfer. The threshold in this representation is lower than that found in the usual perturbation theory.

A Single-Sample Multiple-Decision Procedure for Selecting the Multinomial Event Which Has the Highest Probability

Bechhofer, Robert E.; Elmaghraby, Salah; Morse, Norman (1959)
The problem of selecting the multinomial event which has the highest probability is formulated as a multiple-decision selection problem. Before experimentation starts the experimenter must specify two constants $(\theta^{\ast}, P^{\ast})$ which are incorporated into the requirement: "The probability of a correct selection is to be equal to or greater than $P^{\ast}$ whenever the true (but unknown) ratio of the largest to the second largest of the population probabilities is equal to or greate...

A Convolutive Class of Monotone Likelihood Ratio Families

Ghurye, S. G.; Wallace, David L. (1959)