Moments About the Arithmetic Mean of a Binomial Frequency Distribution

A Winner’s Mean Earnings in Lottery and Inverse Moments of the Binomial Distribution

The game of lottery is both popular and simple. Focusing on the essentials, and leaving aside additional features of secondary importance, which vary across different lottery implementations, the rules of the game are as follows: each player submits to the lottery organizers a ticket consisting of M integers selected by the player, without repetitions, selection order being unimportant from the...

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution

Approximating negative and harmonic mean moments for the Poisson distribution

Asymptotic expansions and the related approximations are constructed for the negative moments of the Poisson distribution and the moments of the harmonic mean of independent and identically distributed (i.i.d.) Poisson random variable (r.v.). The accuracy of the approximations are assessed and applications to multi-centre clinical trials are outlined.

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

a corpus-based study of the frequency of personal pronouns in translated and comparable non-translated persian texts

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