Louis G. Doray

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In this paper, we develop a method to estimate the two parameters of the discrete stable distribution. By minimizing the quadratic distance between transforms of the empirical and theoretical probability generating functions, we obtain estimators simple to calculate, asymptotically unbiased and normally distributed. We also derive the expression for their(More)
We consider the problem of estimating the three parameters of the bivariate Poisson distribution. From the recursive expression for the probability mass function, which is linear in its parameters, we develop the quadratic distance estimator (QDE), which can be computed with an iteratively reweighted least-squares algorithm. The QDE is unbiased, easy to(More)
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