Debreu’s coefficient of resource utilization, the Solow residual, and TFP: the connection by Leontief preferences

Debreu’s coefficient of resource utilization is freed from individual data requirements. The procedure is shown to be equivalent to the imposition of Leontief preferences. The rate of growth of the modified Debreu coefficient and the Solow residual are shown to add up to TFP growth. This decomposition is the neoclassical counterpart to the frontier analytic decomposition of productivity growth into technical change and efficiency change. The terms can now be broken down by sector as well as by factor input.

Multiple and Partial Correlation Coefficients of Fuzzy Sets

In many applications, multiple correlation and partial correlation for three or more fuzzy sets are very important, but Chiang and Lin (1999, Fuzzy Sets and Systems 102: 221–226) do not solve this problem. Here, we propose a method to calculate the multiple correlation and partial correlation for fuzzy data, by adopting the concepts from the multivariate correlation model. In order to fit into normal framework, we use empirical logit transform (see, Agresti, [1990, Categorical Data Analysis. New York: Wiley]; Johnson and Wichern, [1992, Applied Multivariate Statistical Analysis 3rd edn. Engelwood Cliffs; Prentice-Hall.]) for membership function grades to achieve this.     

Business ethics: A model to position a relative business ethics decision and a model to strengthen its application

The maxims of normative ethics are often in conflict. Thus business practitioners facing ethical questions often find themselves operating in the area of relative ethics. There are arguably two dimensions to this area. One lies on a spectrum from weak companies in highly competitive industries to strong companies in protected industries. The second dimension places the would-be ethical manager in awkward situations imposed from either the hierarchy or from corrupt markets. This article develops an analysis model to portray this relative ethics dilemma. Then, an argument is made that the more the individual manager practices good ethics, the higher the level of ethics the individual is able to maintain. This article proposes an adaptation of the 1950s feedback model of group dynamics known as the “Johari Window” to show this improvement in ethical behavior.     

Women’s entrepreneurship from an institutional perspective: the case of Uzbekistan

This paper aims to make a contribution to our conceptual understanding of women entrepreneurship under ‘early stage’ transition conditions, by researching the nature of it in Uzbekistan. Institutional theory is used as a guiding frame of reference because the specific characteristics of the external environment under transition conditions make the latter a particularly strong influence on entrepreneurship. Empirically, the paper draws on data which was collected in Uzbekistan, within a collaborative research project (INTAS 00-843). The empirical material demonstrates that informal institutions dominating Uzbek society contribute to the prevailing forms of female entrepreneurship.     

Variation diminishing property of densities of uniform generalized order statistics

Let f _*,r , r ≥ 1, denote the density function of rth uniform generalized order statistics as defined by Kamps (1995) or Cramer and Kamps (2003). We prove the following variation diminishing property: the number of zeros in (0,1) of any linear combination does not exceed the number of sign changes in the sequence (a ₁, . . . ,a _r ). This result is applied to study monotonicity and convexity properties of f _*,r .     

“Rulers ruled by women”: an economic analysis of the rise and fall of women’s rights in ancient Sparta

Until modern times, most women possessed relatively few formal rights. The women of ancient Sparta were a striking exception. Although they could not vote, Spartan women reportedly owned 40 percent of Sparta’s agricultural land, and enjoyed other rights that were equally extraordinary. We offer a simple economic explanation for the Spartan anomaly. The defining moment for Sparta was its conquest of a neighboring land and people, which fundamentally changed the marginal products of Spartan men’s and Spartan women’s labor. To exploit the potential gains from a reallocation of labor—specifically, to provide the appropriate incentives and the proper human capital formation—men granted women property (and other) rights. Consistent with our explanation for the rise of women’s rights, when Sparta lost the conquered land several centuries later, the rights for women disappeared. Two conclusions emerge that may help explain why women’s rights have been so rare for most of history. First, in contrast to the historical norm, the optimal (from the men’s perspective) division of labor among Spartans involved women in work that was not easily monitored by men. Second, the rights held by Spartan women may have been part of an unstable equilibrium, which contained the seeds of its own destruction. For helpful comments, we thank Yoram Barzel, Paul Cartledge, Beth Davenport, Dino Falaschetti, Nancy Folbre, Barbara Hanssen, Ron Johnson, Lea Kosnik, Francine Lafontaine, Dean Lueck, Sarah Pomeroy, Mark Ramseyer, Randy Rucker, Wendy Stock, Chris Stoddard, Werner Troesken, Doug Young, and seminar participants at Colby College, George Mason University, Montana State University, the Property and Environment Research Center, the University of Virginia, Wabash College, the 2006 meetings of the Economic History Association, and the 2007 meetings of the American Economic Association.     

Community connectivity and heterogeneity: clues and insights on cooperation on social networks

While studies on the emergence of cooperation on structured populations abound, only few of them have considered real social networks as the substrate on which individuals interact. As has been shown recently [Lozano et al., PLoS ONE 3(4):e1892, 2008], understanding cooperative behavior on social networks requires knowledge not only of their global (macroscopic) characteristic, but also a deep insight on their community (mesoscopic) structure. In this paper, we look at this problem from the viewpoint of the resilience of cooperation, in particular when there are directed exogenous attacks (insertion of pure defectors) at key locations in the network. We present results of agent-based simulations showing strong evidence that the resilience of social networks is crucially dependent on their community structure, ranging from no resilience to robust cooperative behavior. Our results have important implications for the understanding of how organizations work and can be used as a guide for organization design. This work was supported by Ministerio de Educación y Ciencia (Spain) under grants FIS2006-13321-2 and MOSAICO and by Comunidad de Madrid (Spain) under grant. SIMUMAT-CM. S. Lozano was supported by URV through a FPU grant and by the EU Integrated Project IRRIIS (027568).     

A two-stage sampling by unequal size samples from two normal populations with unknown variances

A two-stage procedure based on the statistic introduced by Scheffé (1943) to solve the Behrens-Fisher problem is considered in estimating the difference between the mean values of two normal distributions having unequal and unknown variances. Samples of unequal size are considered at each stage. A numerical example is given where the two-stage procedure is compared with the Satterthwaite (1946) approximate method.     

Do universities knowledge spillovers impact on new firm’s growth? Empirical evidence from UK

The paper explores the effect of scientific institutions on firm’s growth, coupling regional science and entrepreneurship approaches. We focus on the role of universities, largely considered in the literature as the main source of knowledge spillovers. To this purpose, we centre our attention on UK public companies on the Alternative Investment Market (AIM), a market dedicated to young and growing companies in both science and non-science based industries. In the paper we investigate the growth determinants of 231 listed firms which have gone public during the period going from 1995 to 2006. To our purposes, in the empirical analysis we use the Gibrat’s Law of Proportionate Effects model. The results supports the hypothesis that, controlling for firm’s idiosyncratic factors and external forces, both universities knowledge input and output are important determinants of the growth of entrepreneurial firms listed on the AIM.

Binary effectivity rules

A social choice rule (SCR) is a collection of social choice correspondences, one for each agenda. An effectivity rule is a collection of effectivity functions, one for each agenda. We prove that every monotonic and superadditive effectivity rule is the effectivity rule of some SCR. A SCR is binary if it is rationalized by an acyclic binary relation. The foregoing result motivates our definition of a binary effectivity rule as the effectivity rule of some binary SCR. A binary SCR is regular if it satisfies unanimity, monotonicity, and independence of infeasible alternatives. A binary effectivity rule is regular if it is the effectivity rule of some regular binary SCR. We characterize completely the family of regular binary effectivity rules. Quite surprisingly, intrinsically defined von Neumann–Morgenstern solutions play an important role in this characterization.     

Estimating sensitive proportions from Warner’s randomized responses in alternative ways restricting to only distinct units sampled

Warner’s (J Am Stat Assoc 60:63–69, 1965) pioneering ‘randomized response’ (RR) technique (RRT), useful in unbiasedly estimating the proportion of people bearing a sensitive characteristic, is based exclusively on simple random sampling (SRS) with replacement (WR). Numerous developments that follow from it also use SRSWR and employ in estimation the mean of the RR’s yielded by each person everytime he/she is drawn in the sample. We examine how the accuracy in estimation alters when instead we use the mean of the RR’s from each distinct person sampled and also alternatively if the Horvitz and Thompson’s (HT, J Am Stat Assoc 47:663–685, 1952) method is employed for an SRSWR eliciting only, a single RR from each. Arnab’s (1999) approach of using repeated RR’s from each distinct person sampled is not taken up here to avoid algebraic complexity. Pathak’s (Sánkhya 24:287–302, 1962) results for direct response (DR) from SRSWR are modified with the use of such RR’s. Through simulations we present relative levels in accuracy in estimation by the above three alternative methods.     

Influence measures on profile analysis with elliptical data through Frèchet’s metric

In this paper, from Frèchet’s metric, diagnostic tools are constructed for the detection of influential observations in Profile Analysis with elliptically distributed random errors . This distributional hypothesis allows the application of the proposed diagnostics to a wide variety of random experiences, not only for data from a multivariate normal distribution but also from other symmetric distributions, commonly used in studies of several sciences. The diagnostics are based on Frèchet’s distance between the distributions of the basic statistics in Profile Analysis, in the postulated model and in the perturbed model obtained by deleting an observation from the sample data. This metric is highly useful since it enables the analysis of the influence on the point estimation and the estimation error. Applications on two data sets are provided.     

The retention of CEOs that make poor acquisitions

Does the failure to replace CEOs following a bad takeover represent a cost-effective strategy or a failure of boards of directors and the market? We study 104 white knight contests to examine why poorly performing firms retain their CEOs. We find the majority are poor performers before they enter the control contest (q?相似文献   

An application of Stein’s method to limit theorems for pairwise negative quadrant dependent random variables

Stein’s method is used to derive an error in normal approximation for sums of pairwise negative quadrant dependent random variables, but under the assumption of second moment only. This allows us to derive a central limit theorem for pairwise negative quadrant dependent random variables with Lindeberg’s condition. Research supported by Science Foundation of Zhejiang Provincial Education(no. 20060122)     

中国股票市场风险和收益风格效应的非参数检验

本文利用Kendall协同系数检验考察我国股票市场风险和收益的风格效应。通过实证研究首次发现各风格指数的收益率、总风险及指数特有风险均具有明显的分层结构,风格效应显著。对影响风险和收益的风格因素进行的分析表明:股票风险受规模因素的影响十分明显;而股票回报率受价值因素的影响比较显著,受规模因素的影响不明显。并进一步用Spearman相关系数考察了风险与收益之间的秩相关性。本文研究结果对资产配置和风险监管等问题具有参考价值。     

An upper bound for the correlation ratio of records

We obtain an upper bound for a measure of the performance of the least squares predictor of the jth record of a sequence of continuous i.i.d random variables as a function of the ith record. We show also that such bound is attainable, except for location and scale parameters, by exponential distributions. This work was supported in part by Ministerio de Educación y Ciencia through Grants PB96-1416-CO2-02 and HA 1997-0123.     

On characterizations of distributions by regression of adjacent generalized order statistics

Let , r ≥ 1, denote generalized order statistics, with arbitrary parameters , based on distribution function F. In this paper we characterize continuous distributions F by the regression of adjacent generalized order statistics, i.e. where are continuous and increasing functions and ψ is strictly increasing. Further we investigate in detail the case when ψ(x) = x and g is a linear function of the form g(x) = cx + d for some .