In this paper we study some monotone behavior of the residual (past) entropy of order . We prove that, under some relation between the hazard rates (reversed hazard rates) of two distributions functions F and G, when the residual (past) entropy of order of F is decreasing (increasing) then the residual (past) entropy of G is decreasing (increasing). Using this, several conclusions regarding mo...

Serine is a vital amino acid for cellular metabolism and is synthesized in large amounts (about 1 g/day in the rat) by most tissues of the body (Snell, 1984). The biosynthetic pathway branches from glycolysis at 3-phosphoglycerate, and proceeds via phosphohydroxypyruvate and phosphoserine to form serine (Snell, 1986). Unusually, end-product control o f this biosynthetic pathway by serine is exe...

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In these notes, I discuss some properties of collections of random variables, which I call random fields. In terms of jargon, a collection of random variables indexed by scalars is known as a stochastic process. Random fields generalize the standard notion of a stochastic process by allowing for collections where the index is more complicated. To be clear, the definitions of each vary across te...

Ever since its initial discovery in 1948 by George Snell, major histocompatibility (MHC) complex became the focus of intense research that, due to its diverse roles, gradually extended far beyond transplantation biology. MHC class I molecules are found on virtually all nucleated cells of jawed vertebrates and are the most polymorphic molecules described to date (Cresswell et al. 2005, Solheim 1...

in the shafaroud forest, logging operation is generally performed by using selective cutting methods. chainsaw and cable skidder are two main forest machines for harvesting of this forest. however, forest harvesting operations result in serious residual stand damage during felling, winching and skidding operations in this forest. residual stand damage resulting from selective cutting was assess...

the parallel systems are special important types of coherent structures and have many applications in various areas.in this paper we consider a two-exchangeable-component parallel system for the generalized farlie-gumbel-morgenstern (generalized fgm) distribution. we study the reliability properties of the residual lifetime of the system under the condition that both components of the system ar...