It has frequently been claimed that learning performance improves with practice according to the so-called "Power Law of Learning." Similarly, forgetting may follow a power law. It has been shown on the basis of extensive simulations that such power laws may emerge through averaging functions with other, nonpower function shapes. In the present article, we supplement these simulations with a ma...

In this paper, a Bayesian analysis is made to estimate the Reliability of two stress-strength model systems. First: reliability one component strengths X under stress Y. Second, strength three stresses. Where and Y are independent generalized exponential-Poison random variables with parameters (α,λ,θ) (β,λ,θ) . The concerned based on doubly type II censored samples using gamma prior four differ...

We analyze the structure of a random boolean matrix. The corresponding probability distribution is studied with the help of multivariate probability generating functions. This problem is an illustrative example of a class of multivariate functions characterized by a set of diierence-diierential equations which plays an important role in probability theory. We show how to handle and approximate ...

The gamma and Weibull distributions are commonly used for analyzing any lifetime data or skewed data. Recently a new family of generalized exponential (GE) distributions was introduced and studied quite extensively by Gupta and Kundu in series of papers. In this talk we show that many properties of this new family are quite similar to those of a gamma family. Since the GE distribution function ...

A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-represen...

where k indexes experimental replicates, i indexes the probe positions, j indexes the binding positions, andN ( jPj aji jjsjbj; i) represents the probability density function of a Gaussian distribution with mean Pj aji jjsjbj and variance i. We assign prior distributions on the binding event bj and the binding strength sj: p(bjj j) = bj j (1 j)1 bj (3) p0(sj) = Gamma(sjjc0; d0) (4) where Gamma(...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...