3 research outputs found

    Generalized Parabolic Cylinder Function Distribution

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    ), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of the publication of trade names, trademarks, service marks, or similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. This paper discussed generalized parabolic cylinder function (or GPCF) distribution i (or GPCFD) probability density function (pdf) in a manner that is original and never presented before in the literature. For GPCF the closed form expression of the cumulative distribution function (cdf) is given by means of series expansion of the four Kampé de Fériet functions and six confluent hypergeometric series of two variables. Numerical results are derived for each case to validate the theoretical models presented in the paper
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