*Correspondence: [email protected] 1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract The aim of this work is to define the notion of compatible random operators in a partially ordered metric space and prove some coupled random coincidence theorems for a pair of compat...

Chirp signals play an important role in the statistical signal processing. Recently Kundu and Nandi [8] derived the asymptotic properties of the least squares estimators of the unknown parameters of the chirp signals model in presence of stationary noise. Unfortunately they did not discuss any estimation procedures. In this article we propose a computationally efficient algorithm for estimating...

I read with interest the report by Kundu, et al., on diagnosis of enteric fever in children (1). It has been stated that complete blood count in enteric fever is unremarkable and the white blood cell count is normal in most cases and leukocytosis makes the diagnosis less probable. However, it has not been mentioned whether there is a help of relative granulocytosis in the diagnosis of enteric f...

Using tools of quantum information theory we show that the ground state of the Dicke model exhibits an infinite sequence of instabilities (quantum-phase-like transitions). These transitions are characterized by abrupt changes of the bi-partite entanglement between atoms at critical values kappa(j) of the atom-field coupling parameter kappa and are accompanied by discontinuities of the first der...

In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plan...

Birnbaum and Saunders introduced in 1969 a two-parameter lifetime distribution which has been used quite successfully to model a wide variety of univariate positively skewed data. Diaz-Garcia and Leiva-Sanchez [9] proposed a generalized BirnbaumSaunders distribution by using an elliptically symmetric distribution in place of the normal distribution. Recently, Kundu et al. [17] introduced a biva...

Can firm names be tradeable assets when changes in name ownership are observable? Earlier literature suggests that non-observability is critical to sustaining name trading. Yet, casual empiricism suggests that shifts in name ownership may be publicly known. This paper shows how firm names can be traded even under full observability. In equilibrium, even when consumers see a reputed name being d...

We describe a fixed-point based approach to the theory of bipartite stable matchings. By this, we provide a common framework that links together seemingly distant results, like the stable marriage theorem of Gale and Shapley [11], the Menelsohn-Dulmage theorem [21], the Kundu-Lawler theorem [19], Tarski’s fixed point theorem [32], the Cantor-Bernstein theorem, Pym’s linking theorem [22, 23] or ...