A note on generalized (n, K, λ)-systems

A Note On The Erlang(λ, n) Risk Process

We consider the Erlang(λ, n) risk process with i.i.d. exponentially distributed claims severities. We prove that the ruin probability is a strictly decreasing function in n if we keep the expected interarrival times between two successive claims constant. In the limit case we obtain Lundberg’s fundamental equation in the discrete time risk model (ladder heights of random walks).

A Note on Artinianess of Certain Generalized

Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...

A Note on Λ-statistically Cauchy Sequences

In this paper, we introduce the concept of λ-statistically Cauchy sequence of fuzzy numbers and show that it is equivalent to λ-statistically convergent sequence of fuzzy numbers. AMS Subject Classification: 40A05, 40C05, 40D05

On the Rational Recursive Sequence X_{N+1}=ƔX_{N-K}+(AX_N+BX_{N-K})⁄(CX_N-DX_{N-K})

Dispersive Ordering and k-out-of-n Systems

Extended Abstract. The simplest and the most common way of comparing two random variables is through their means and variances. It may happen that in some cases the median of X is larger than that of Y, while the mean of X is smaller than the mean of Y. However, this confusion will not arise if the random variables are stochastically ordered. Similarly, the same may happen if one would like to ...