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This paper demonstrates that the conditional negative binomial model for panel data, proposed by Hausman, Hall and Griliches (1984), is not a true fixed-effects method. This method—which has been implemented in both Stata and LIMDEP—does not, in fact, control for all stable covariates. Three alternative methods are explored. A negative multinomial model yields the same estimator as the conditio...

We present a method for computing pth roots using a polynomial basis over finite fields Fq of odd characteristic p, p ≥ 5, by taking advantage of a binomial reduction polynomial. For a finite field extension Fqm of Fq our method requires p− 1 scalar multiplication of elements in Fqm by elements in Fq. In addition, our method requires at most (p − 1)dm/pe additions in the extension field. In cer...

This paper presents a method to monitor information of a large-sized multicast group that can follow the group’s dynamics in realtime while avoiding feedback implosion by using probabilistic polling. In particular, this paper improves the probabilistic-polling-based approach by deriving a reference mean value as the reference control value for the number of expected feedback from the properties...

In Bayesian inference, some researchers have examined the difference of binominal proportions using () 1 2 0 1 2 P | , X X θ π π = > − ∆ , where i X denote binomial random variable with parameter i π. An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.

In Bayesian inference, some researchers have examined the difference of binominal proportions using () 1 2 0 1 2 P | , X X θ π π = > − ∆ , where i X denote binomial random variable with parameter i π. An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.