On the Asymptotic Distribution of Certain Sums

On the Asymptotic Distribution of Certain Sums

The Asymptotic Distribution of Exponential Sums, I

on direct sums of baer modules

the notion of baer modules was defined recently

On the asymptotic distribution of certain bivariate reinsurance treaties

Abstract: Let {(Xn, Yn), n ≥ 1} be bivariate random claim sizes with common distribution function F and let {N(t), t ≥ 0} be a stochastic process which counts the number of claims that occur in the time interval [0, t], t ≥ 0. In this paper we derive the joint asymptotic distribution of randomly indexed order statistics of the random sample (X1, Y1), (X2, Y2), . . . , (XN(t), YN(t)) which is th...

On the Integrity of Certain Fibonacci Sums

[n is an arbitrary natural number, r is an arbitrary (nonzero) real quantity) gives & positive integer k. Since both r and k turn out to be Fibonacci number ratios, the results established in this paper can be viewed as a particular kind of Fibonacci identities that are believed to be new [see (4.7) and (4.8)]. Throughout the paper we shall make use of the following properties of the Fibonacci ...