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- W2012017082 abstract "Orthogonal polynomials with certain probability functions as weighting functions, have been employed by many authors in graduating sets of data. They have also been used in statistics in other contexts, e.g. by Shenton (1950, 1958) who has developedpowerful methods by their help to estimate parameters and to derive the efficiency of such estimated parameters by assuming that the maximum-likelihood functions can be expanded in a series of orthogonal polynomials. In this paper methods are developed of deriving the orthogonal polynomials of the discrete power series probability distribution which was defined by Noack (1950). These methods are due to van Heerden (1961), who has also derived the appropriate polynomials for the discrete factorial power series probability distribution, which will, however, not be treated in this paper." @default.
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- W2012017082 date "1966-06-01" @default.
- W2012017082 modified "2023-09-23" @default.
- W2012017082 title "The orthogonal polynomials of power series probability distributions and their uses." @default.
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