in this paper we study the almost universal convergence of weighted sums for sequence {x ,n } of negatively dependent (nd) uniformly bounded random variables, where a, k21 is an may of nonnegative real numbers such that 0(k ) for every ?> 0 and e|x | f | =0 , f = ?(x ,…, x ) for every n>l.

Biomolecular condensates are complex liquid-like subcellular organelles that segregate client molecules from their environment for intracellular storage, signaling, and the amplification of biochemical processes. The material properties a biomolecular condensate essential to its physiological function. Emerging reports suggest on liquid-end viscoelastic spectrum functional, whereas solid-end of...

let be a stationary sequence of pair wise negative quadrant dependent random variables with survival function {,1}nxn?f(x)=p[x>x]. the empirical survival function ()nfx based on 12,,...,nxxx is proposed as an estimator for ()nfx. strong consistency and point wise as well as uniform of ()nfx are discussed

Here, we propose a method of estimation of the derivatives of probability density based wavelets methods for a sequence of m−dependent random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for the such estimators.

Many authors have examined lot sizing, scheduling and sequence of multi-product flow shops, but most of them have assumed that set up times are independent of sequence. Whereas dependence of set up times to sequence is more common in practice. Hence, in this paper, we examine the discussed problem with hypothesis of dependence of set up times to sequence and cyclic schedule policy in basic peri...

We propose a wavelet based stochastic regression function estimator for the estimation of the regression function for a sequence of pairwise negative quadrant dependent random variables with a common one-dimensional probability density function. Some asymptotic properties of the proposed estimator are investigated. It is found that the estimators have similar properties to their counterparts st...