Let N(t) be a counting process associated with a sequence of non-negative random variables
(Xj)1∞ where the distribution of Xn+1 depends only on the value of the partial sum Sn = Σj=…

… where W~O)(t) = U(t) is the ordinary unit step function at the origin. Let gz (t, u) be the …
Let U, (t) be the number of upcrossings caused by the correlated renewal process over level …

… The ordering is local when it holds for any finite interval (u, b), however small. Local order
in multivariate settings has been described by Whitt (1980, 1981), by Karlin and Rinott (1980), …

Photovoltaic (PV) has the highest cost reduction potential among all renewable energy
sources (RES). To overcome institutional barriers, developing the technology, and creating an …

… Shanthikumar and Sumita [12] have established sufficient … sufficient conditions of Shanthikumar
and Sumita [12] are satisfied … AND SUMITA, U. (1984) A central limit theorem for random …

… ̲ 6 T 0 ̲ T + ζ ˆ ̲ ̲ ( 0 + , s ) γ ̲ ̲ ( s ) , where u ̲ i is the ith unit vector in R 8 and(3.34) γ
̲ ̲ ( s ) = 0 0 ̲ T 0 ξ ̲ ˆ ( s ) B ̲ ̲ ( s ) θ ̲ ˆ ( s ) 0 0 ̲ T 0 , with(3.35) B ̲ ̲ ( s ) = 0 α W ( s …

… It has been shown by Shanthikumar and Sumita [16] that the system failure time T; has the …
For this model Shanthikumar and Sumita [16] have shown the following results corresponding …

In this paper we develop approximations for the distribution of the total time spent in a dynamic
job shop. In particular, using an exponential limit theorem and an heuristic decomposition …

Anscombe (1952) (also see Chung (1974)) has developed a central limit theoremof random
sums of independent and identically distributed random variables. Applicability of this …

… Let N(t) be a continuous time finite Markov chain on U governed by v. - Then there exists u
> 0 such that N(t) is ergodic if and only if the discrete time Markov chain J(k) on U governed by …