Incomplete Dirichlet Integrals with Applications to Ordered Uniform Spacings
نویسنده
چکیده
Sob& Uppuluri, and Frankowski, (Selected Tables in Math. Statistics, Vol. IV. Amer. Math. Sot., Providence, R. I., 1977) consider an incomplete Dirichlet integral of type I with several interesting applications connected with the multinomial distribution and provide tables of this integral along with other useful tables. Two incomplete Dirichlet integrals are discussed here along with some useful recurrence relations, providing simple methods of deriving the distribution theory of ordered uniform spacings.
منابع مشابه
Limit results for ordered uniform spacings
Let k:n = Xk,n − Xk−1,n(k = 1, 2, . . . , n+1) be the spacings based on uniform order statistics, provided X0,n = 0 and Xn+1,n = 1. Obtained from uniform spacings, ordered uniform spacings 0 = 0,n < 1,n < · · · < n+1,n , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.
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تاریخ انتشار 2003