An optimized model for substitution of expatriate workforce in a Gulf-Council country: the Kuwaiti case

"This article is based on data from a research project carried out during 1992-1994 to achieve a replacement mechanism and a model for the substitution of expatriate labour by Kuwaiti nationals. Since Kuwait can readily enforce its Kuwaitization policy in the public sector, the presented model aims at reducing the share of non-Kuwaitis in that sector over five years. Published data on distribution of the workforce in the public sector by nationality indicate that the non-Kuwaiti share of the total workforce is 38 per cent. The majority of [migrant] workers are unskilled or semi-skilled and engaged in production, commerce and services. Sex ratios are unbalanced and workers exhibit a high rate of literacy...." (SUMMARY IN FRE AND SPA)     

LLL-reduction for integer knapsacks

Given a matrix A∈? ^m×n satisfying certain regularity assumptions, a well-known integer programming problem asks to find an integer point in the associated knapsack polytope or determine that no such point exists. We obtain an LLL-based polynomial time algorithm that solves the problem subject to a constraint on the location of the vector b.     

Lower bounds for expected sample size of sequential procedures for the multinomial selection problems

In this article, lower bounds for expected sample size of sequential selection procedures are constructed for the problem of selecting the most probable event of k-variate multinomial distribution. The study is based on Volodin’s universal lower bounds for expected sample size of statistical inference procedures. The obtained lower bounds are used to estimate the efficiency of some selection procedures in terms of their expected sample sizes.     

A characterization of geometric distribution based on weak records

Let \({\{X_n, n\geq 1\}}\) be a sequence of independent and identically distributed non-degenerated random variables with common cumulative distribution function F. Suppose X ₁ is concentrated on 0, 1, . . . , N ≤ ∞ and P(X ₁ = 1) > 0. Let \({X_{U_w(n)}}\) be the n-th upper weak record value. In this paper we show that for any fixed m ≥ 2, X ₁ has Geometric distribution if and only if \({X_{U_{w}(m)}\mathop=\limits^d X_1+\cdots+X_m ,}\) where \({\underline{\underline{d}}}\) denotes equality in distribution. Our result is a generalization of the case m = 2 obtained by Ahsanullah (J Stat Theory Appl 8(1):5–16, 2009).