Computation of probabilities of a generalized log-series and related distributions
SH Ong - Communications in Statistics-Theory and Methods, 1995 - Taylor & Francis
Communications in Statistics-Theory and Methods, 1995•Taylor & Francis
Three-term recurrence relations are derived for the probabilities of Kempton's (Biometrika,
1975) full beta model and generalized log-series distribution (GLSD), and a length-biased
GLSD. The problem of numerical stability of these recurrence relations are discussed and
expansions of the probabilities are given. Numerical examples on the stability of recurrence
relations are also given.
1975) full beta model and generalized log-series distribution (GLSD), and a length-biased
GLSD. The problem of numerical stability of these recurrence relations are discussed and
expansions of the probabilities are given. Numerical examples on the stability of recurrence
relations are also given.
Three-term recurrence relations are derived for the probabilities of Kempton's (Biometrika, 1975) full beta model and generalized log-series distribution (GLSD), and a length-biased GLSD. The problem of numerical stability of these recurrence relations are discussed and expansions of the probabilities are given. Numerical examples on the stability of recurrence relations are also given.
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