SHIFTED BINOMIAL APPROXIMATIONS FOR EWENS SAMPLING FORMULA
نویسندگان
چکیده
منابع مشابه
The ubiquitous Ewens sampling formula
Ewens’s sampling formula exemplifies the harmony of mathematical theory, statistical application, and scientific discovery. The formula not only contributes to the foundations of evolutionary molecular genetics, the neutral theory of biodiversity, Bayesian nonparametrics, combinatorial stochastic processes, and inductive inference but also emerges from fundamental concepts in probability theory...
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In this note we prove an explicit binomial formula for Jack polynomials and discuss some applications of it. 1. Jack polynomials ([M,St]). In this note we use the parameter θ = 1/α inverse to the standard parameter α for Jack polynomials. Jack symmetric polynomials Pλ(x1, . . . , xn; θ) are eigenfunctions of Sekiguchi differential operators D(u; θ) = V (x) det [ x i ( xi ∂ ∂xi + (n− j)θ + u )]
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ژورنال
عنوان ژورنال: Bulletin of informatics and cybernetics
سال: 2017
ISSN: 0286-522X
DOI: 10.5109/2232329