On stochastic comparisons of minimum order statistics from the location–scale family of distributions

We consider stochastic comparisons of minimum order statistics from the location–scale family of distributions that contain most of the popular lifetime distributions. Under certain assumptions, we show that the minimum order statistic of one set of random variables dominates that of another set of random variables with respect to different stochastic orders. Furthermore, we illustrate our results using some well-known specific distributions.     

On Kullback–Leibler information of order statistics in terms of the relative risk

The representation of the entropy in terms of the hazard function and its extensions have been studied by many authors including Teitler et al. (IEEE Trans Reliab 35:391–395, 1986). In this paper, we consider a representation of the Kullback–Leibler information of the first \(r\) order statistics in terms of the relative risk (Park and Shin in Statistics, 2012), the ratio of hazard functions, and extend it to the progressively Type II censored data. Then we study the change in Kullback–Leibler information of the first \(r\) order statistics according to \(r\) and discuss its relation with Fisher information in order statistics.     

Revisiting the trans-situationality of values in Schwartz’s Portrait Values Questionnaire

Quality & Quantity - Schwartz in his famous theory of basic values follows Parsons and Rokeach in arguing that human values are trans-situational or context free. For any individual, the same...     

Ordering properties of the smallest order statistics from generalized Birnbaum–Saunders models with associated random shocks

Let \(X_{1},\ldots , X_{n}\) be lifetimes of components with independent non-negative generalized Birnbaum–Saunders random variables with shape parameters \(\alpha _{i}\) and scale parameters \(\beta _{i},~ i=1,\ldots ,n\), and \(I_{p_{1}},\ldots , I_{p_{n}}\) be independent Bernoulli random variables, independent of \(X_{i}\)’s, with \(E(I_{p_{i}})=p_{i},~i=1,\ldots ,n\). These are associated with random shocks on \(X_{i}\)’s. Then, \(Y_{i}=I_{p_{i}}X_{i}, ~i=1,\ldots ,n,\) correspond to the lifetimes when the random shock does not impact the components and zero when it does. In this paper, we discuss stochastic comparisons of the smallest order statistic arising from such random variables \(Y_{i},~i=1,\ldots ,n\). When the matrix of parameters \((h({\varvec{p}}), {\varvec{\beta }}^{\frac{1}{\nu }})\) or \((h({\varvec{p}}), {\varvec{\frac{1}{\alpha }}})\) changes to another matrix of parameters in a certain mathematical sense, we study the usual stochastic order of the smallest order statistic in such a setup. Finally, we apply the established results to two special cases: classical Birnbaum–Saunders and logistic Birnbaum–Saunders distributions.     

On the distribution of the desirability index using Harrington’s desirability function

The concept of desirability is a means for complexity reduction of multivariate quality optimization. This paper provides a theoretical breakthrough regarding desirability indices, which application fields were formerly limited primarily by the lack of its distribution. Focussed are the distributions of Harrington’s desirability functions and different types of the desirability index.     

A customer’s utility measure based on the reliability of multi-state systems

The main focus of this paper is on the development of utility measures for dynamic multi-state systems that have M + 1 discrete states of working efficiency. To develop the utility measures for multi-state systems, we assume that the degradation of the multi-state systems follows a non-homogeneous semi-Markov process together with a backward recurrence time process and that the system can directly degrade into any lower state. The measure considers the immediate utility derived from the state of the system occupancy and the utility due to the system survival expectations derived from its reliability. Moreover, in order to measure the customer’s cumulative utility, the discounted non-homogeneous continuous time semi-Markov process with rewards is implemented. In such a way, the higher order moments of the reward process can be evaluated and then, in particular, the expectation and the standard deviation of the consumer’s accumulated discounted utility. These statistic indices are useful both to the industry in order to compare different system designs offered by the market and to the market itself, in order to know the customer’s utility deriving from the goods she/he consumes. Finally, a numerical example shows the possibility of implementing the model in real-life problems.     

Characterization of the exponential distribution function by Properties of the differenceX k+s∶n−X k∶n of order statistics

We considern independent and identically distributed random variables with common continuous distribution functionF concentrated on (0, ∞). LetX _1∶n≤X_2∶n...≤X_n∶n be the corresponding order statistics. Put $$d_s \left( x \right) = P\left( {X_{k + s:n} - X_{k:n} \geqslant x} \right) - P\left( {X_{s:n - k} \geqslant x} \right), x \geqslant 0,$$ and $$\delta _s \left( {x, \rho } \right) = P\left( {X_{k + s:n} - X_{k:n} \geqslant x} \right) - e^{ - \rho \left( {n - k} \right)x} ,\rho > 0,x \geqslant 0.$$ Fors=1 it is well known that each of the conditions d₁(x)=O ?x≥0 and δ₁ (x, p) = O ?x≥0 implies thatF is exponential; but the analytic tools in the proofs of these two statements are radically different. In contrast to this in the present paper we present a rather elementary method which permits us to derive the above conclusions for somes, 1≤n —k, using only asymptotic assumptions (either forx→0 orx→∞) ond _s(x) and δ₁ (x, p), respectively.     

Specifying and assessing a formative measure for Hofstede’s cultural values: a Malaysian study

The growing interest on Hofstede’s cultural values has dominated the area of management and organizational research. However, the extant literature with disappointing psychometric results have provoked a pressing need to re-examine its measurement model specification. To fill this gap, this study attempts to specify the epistemic nature of Hofstede’s cultural values and its underlying dimensions, and to assess a proposed second-order reflective–formative model for Hofstede’s cultural values at individual level in the school organizational context. The stratified sample consisted of 1,154 teachers selected from 30 Malaysian primary schools. The analysis was conducted using Partial Least Square analysis with SmartPLS 2.0 software program. Findings revealed the absence of multicollinearity with the convergent, nomological and discriminant validity were affirmed. This study has confirmed Hofstede’s cultural values as formative second-order hierarchical latent construct which are commonly operationalized by means of reflective dimensions would be better captured using a formative measure perspective by providing rigorous empirical evidence. Limitations and thoughts to stimulate future studies are discussed.     

Africa’s contribution to Qatar’s diversification priorities in the immediate to long term

Diversification experiences started across the African continent in the immediate post-independence period, in an attempt to break with traditional colonial models of development. Most African countries embarked upon industrial development during the 1960s and the 1970s, in order to diversify their economies and reduce their risk dependency on primary commodities due to the fluctuation in prices. After a change of priorities in the 1980s and 1990s, there has recently been a renewed attention and debate on economic diversification in Africa. Insight gained from African experiences demonstrates that new activities and capacities can be set in place via linkages with natural resource exploitation. Investment opportunities in non-energy sectors in Africa are nevertheless also critical and need to be examined. In fact, the success of diversification strategies depends on a sound development strategy, inspiring comprehensive public policy frameworks, strong political leadership, and a sound natural resource governance framework including diversification. Presenting examples and insights from various African countries, the article highlights misperceptions and improvements of socio-economic conditions in Africa useful to properly assess risks and opportunities in various contexts. Analyzing the role of the private sector and of African state-owned institutions related to foreign direct investments in non-energy sectors, the article focuses on strategies, lessons learned, and challenges of economic diversification.     

On the exact distribution of the Fisher-Behren’-Welch statistic

Summary For testing the significance of the difference between the unknown means of two normal populations having different unknown variances, we have the known Fisher-Behren’s-Welch test statistic. Several expressions for the distribution of this test statistic are available, and this paper is yet another attempt in the same direction. However, the expression given here appears to be, perhaps, more elegant and straight-forward than the ones available at present.     

On the way to Ithaka[1]: Commemorating the 50th Anniversary of the Publication of Karl E. Weick’s The Social Psychology of Organizing

Karl E. Weick’s The Social Psychology of Organizing has been one of the most influential books in organization studies, providing the theoretical underpinnings of several research programs. Importantly, the book is widely credited with initiating the process turn in the field, leading to the ‘gerundizing’ of management and organization studies: the persistent effort to understand organizational phenomena as ongoing accomplishments. The emphasis of the book on organizing (rather than on organizations) and its links with sensemaking have made it the most influential treatise on organizational epistemology. In this introduction, we review Weick’s magnum opus, underline and assess its key themes, and suggest ways in which several of them may be taken forward.     

Response to the Letter to the Editor on ‘On Quantile-based Asymmetric Family of Distributions: Properties and Inference’

Rubio (2020) points out an identification problem for the four-parameter family of two-piece asymmetric densities introduced by Nassiri & Loris (2013). This implies that statistical inference for that family is problematic. Establishing probabilistic properties for this four-parameter family however still makes sense. For the three-parameter family, there is no identification problem. The main contribution in Gijbels et al. (2019a) is to provide asymptotic results for maximum likelihood and method-of-moments estimators for all members of the three-parameter quantile-based asymmetric family of distributions.     

A comparative analysis of the work values of Greece's ‘Millennial’ generation

This study adds to the growing body of international evidence concerning the millennial generation (i.e. those born after 1980), by documenting the work values of millennial-aged undergraduate students (N = 649) in Greece, using an adapted version of the Lyons Work Value Survey. Our results show that millennial-aged Greeks place most importance on intrinsic and social aspects of work, and less importance on extrinsic and prestige values. We statistically compare our results to those of published studies of millennial-aged respondents from other countries and find that Greek respondents hold a unique work value profile, although they demonstrate some similarities to counterparts in other countries. Our findings do not clearly support the notion of a ‘global youth generation’, as young people in various countries hold different work value priorities. This suggests that employers seeking to recruit, engage and retain young workers internationally must tailor their offerings to the specific cultural context.     

On the different styles of large shareholders’ activism

This paper extends Noe’s (Rev Financial Studies 15:289–317, 2002) model of large shareholder activism in two directions. First, it considers a framework in which large shareholders can choose not only when to monitor, but also how intensively they want to monitor the firm. Second, it considers the impact of laws and regulations by introducing a governance quality parameter that makes monitoring more cost effective. The model yields a new and rich characterization of activism. We find that share wealth (ownership concentration) induces monitoring for higher firm value through more frequent monitoring with unchanged intensity. Cash wealth motivates activism for trading gains, not higher firm value, through less frequent monitoring coupled with higher intensity. We also find that better governance leads to higher firm value through more frequent but less intense activism. When asymmetries within the group of large shareholders exist, the model predicts that the larger/wealthier/more efficient shareholders are more active. These results are broadly consistent with the empirical evidence.     

The role of the seller’s stock performance in the market reaction to divestiture announcements

Divestitures have the potential to create shareholder value. However, the extent of the market reaction should depend on the likelihood of finding more valuable uses for the divested assets or the ability on the part of the seller to eliminate negative synergies. We hypothesize that strong performers have less scope to achieve substantial improvements compared to poorly performing firms. Using the seller’s stock return in excess of the market return in the 1-year and 2-year periods preceding the divestiture announcement to expose the divesting firm’s inefficient use of its assets, we show that the market reaction to divestiture announcements is significantly higher for underperforming firms. The difference in abnormal returns can be as high as 4 %. In contrast, none of the accounting-based variables that have been used in previous studies are found to be significantly related to the announcement returns. These results suggest that the firm’s stock performance is a more useful indicator of the wealth effect associated with divestitures.     

On statistical approaches to the study of the “Law of Initial Values”

This paper is concerned with the well-known Law of Initial Values (Wilder, 1931, 1967). First, possible causes of this phenomenon of initial value dependence are discussed. The limitations of a structural relationships based method for testing its effect in empirical data sets in social and behavioral science research are next discussed. Within the popular structural equation modeling methodology, a multiple-indicator model is then focused on, which allows studying the Law of Initial Values. The described approach is illustrated using data from a cognitive intervention study (Baltes, Dittmann-Kohli & Kliegl, 1986).     

Investigating the inefficiency of the CBO’s budgetary projections

This paper evaluates the efficiency of budgetary projections issued by the Congressional Budget Office (CBO) from 1984 to 2016 and investigates the cause of their inefficiency. The efficiency of both its budgetary and macroeconomic projections is rejected in many cases, especially for revenue projections. A comparison of forecast evaluations suggests that the inefficiency of revenue projections is likely due to the inefficiency of the underlying macroeconomic projections. By adjusting budgetary projections by the CBO in real time using macroeconomic forecasts by the Survey of Professional Forecasters, the accuracy of the former projections can be significantly improved in some cases, by up to 26% in terms of the root-mean-square prediction error.     

Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences

This paper studies the extension of Harsanyi’s theorem (Harsanyi, 1955) in a framework involving uncertainty. It seeks to extend the aggregation result to a wide class of Monotonic Bernoullian and Archimedean preferences (Cerreia-Vioglio et al., 2011) that subsumes many models of choice under uncertainty proposed in the literature. An impossibility result is obtained, unless we are in the specific framework where all individuals and the social observer are subjective expected utility maximizers sharing the same beliefs. This implies that non-expected utility preferences cannot be aggregated consistently.