On graduation of enrolment size in a multi-echelon educational system
Journal Title: Mathematica Applicanda. Annales Societatis Mathematicae Polonae Series III . - Year 2017, Vol 45, Issue 1
Abstract
This paper focuses on an educational system wherein demotion and double promotion are not allowed. The total enrolment in such a system is modelled as a linear model within the context of factor analysis. The goal is to represent the total enrolment in terms of latent factors which generate the flows in the system. The notion of matrix spectrum and spectral radius are used to benchmark the specific variances and to approximate the factor loading vector, respectively. Two main theorems are propounded alongside with their proofs. A numerical illustration is given.
Authors and Affiliations
Virtue U. Ekhosuehi
Keywords
Related Articles
- EP ID EP420952
- DOI 10.14708/ma.v45i2.4378
- Views 71
- Downloads 0
A refined and asymptotic analysis of optimal stopping problems of Bruss and Weber
The classical secretary problem has been generalized over the years into several directions. In this paper we confine our interest to those generalizations which have to do with the more general problem of stopping on a...
Common-Knowledge and Bayesian Equilibrium in Network Game
In this paper we investigate equilibriums in the Bayesian routing problem of the network game introduced by Koutsoupias and Papadimitriou [LNCS 1563, pp.404-413. Springer (1999)]. We treat epistemic conditions for Nas...
Strongly Time-Consistent Core in Differential Games with Discrete Distribution of Random Time Horizon
In this paper we investigate the problem of strong time-consistency of the core for a particular class of differential games with random time horizon, namely, it is assumed that there exists a set of probabilities of the...
Markov morphisms: a combined copula and mass transportation approach to multivariate quantiles.
Our purpose is both conceptual and practical. On the one hand, we discuss the question which properties are basic ingredients of a general conceptual notion of a multivariate quantile. We propose and argue that the objec...
Markov morphisms: a combined copula and mass transportation approach to multivariate quantiles
Our purpose is both conceptual and practical. On the one hand, we discuss the question which properties are basic ingredients of a general conceptual notion of a multivariate quantile. We propose and argue that the objec...