Bayesian estimation for non zero inflated modified power series distribution under linex and generalized entropy loss functions

Abstract

In this paper, we derive Bayesian estimators of the parameters of modified power series distributions inflated at any of a support point under linex and general entropy loss function. We assume that the prior information can be summarized by a uniform, Beta, two-sided power, Gamma or generalized Pareto distributions. The obtained results are demonstrated on the generalized Poisson and the generalized negative binomial distribution inflated at a given point.     

The welfaristic characterization of two-person revelation equilibria under imputational government

Given two players whose declarations about their private preferences are to be used in enforcing imputations, i.e. individually rational Pareto optima according to the declared preference profile, the Nash equilibria of the revelation game so defined always induce individually rational outcomes according to the true preferences, and for all such outcomes there is (and we construct) a Nash equilibrium declaration of preferences which induces precisely that outcome.We conjectured and proved the main result reported here in January, 1989, while M.R. Sertel was visiting at the Decision Sciences and Economics Departments, University of Pennsylvania, and was visited by S. Koray, who was kindly invited by the Wharton School. The hospitality of our hosts is gratefully acknowledged. Participants in the Game Theory course, DS901, in Spring 1989 at the Decision Sciences Department of the Wharton School are thanked hereby for being our first audience, and our special thanks go to Paul Kleindorfer, with whom M.R. Sertel shared the pleasure of giving this course, for his steady encouragement and his persuading us of the importance of our theorem from an experimental viewpoint. TÜBTAK and the Boaziçi University Research Fund. (The Scientific and Technical Research Council of Turkey) partially supported the preparation of this paper, and Bosfor Turizm kindly supported its presentation at the Annual Meeting of ASSET, Florence, Italy, October 1989. We hereby thank a thoughtful anonymous referee for comments which we believe to have led to improvements over an earlier (November 1989) version of this paper.     

Self-reported mental health problems and post-traumatic growth among children in Pakistan care homes

ABSTRACT

Children in care experience multiple risk factors, particularly in low-income countries such as Pakistan. The aim was to establish rates of mental health problems and their relationship with posttraumatic growth, as reported by 132 children aged 9–19 years, living in three care homes in Pakistan. Children reported high rates of posttraumatic stress (70.45%) and common mental health symptoms (43.94%) within the clinical range, but also high levels of posttraumatic growth. These findings highlight the high levels of mental health needs among children in residential care, as well as the importance of understanding factors that promote their posttraumatic growth and resilience.     

Perceptions of gendered-challenges in academia: How women academics see gender hierarchies as barriers to achievement

Despite the egalitarian and collegial philosophy in its ideals, academic market is segregated and gendered where women receive fewer rewards than their male counterparts, are under-represented, segregated and excluded from participation in the formal and informal academic structures in academia. The country contexts, the gendered academic organizational settings as well as everyday interactions all play a major role not only in women's participation within academia, but also how they perceive their future in academic institutions. This research note, through an original survey with over 200 academics, attempts to study the latter assumption by looking at women academics' perceptions of their work life, their challenges, as well as aspirations. Our results show that those perceiving strong hierarchy in the realm of work are significantly more likely to believe that being woman in academia harms their job prospects. We also show that, not only were they pessimistic about the challenges facing them at the moment, but they were also more skeptical about women's potential in overcoming such challenges in the future.     

The Impact of Organizational Structure on Mass Customization Capability: A Contingency View

This study investigates the role of organizational structure in facilitating the development of mass customization (MC) capability in various manufacturing settings. Specifically, three dimensions of organizational structure are considered—flatness, centralization, and employee multifunctionality. We model organizational structure as a second‐order factor whose value is captured on a mechanistic‐organic continuum, where the organic form is characterized by a flat, decentralized structure with a wide use of multifunctional employees. We propose that a positive relationship exists between the organic organizational structure and MC capability. Additionally, building upon contingency theory, we argue that this positive relationship is moderated by mass customizer type—full mass customizers, which customize products at the design or fabrication stage of the production cycle, versus partial customizers, which customize products only at the assembly or delivery stages. Based on a study of 167 manufacturing plants from three industries and eight countries, we find that, for the overall sample, organic structure plays a significant role in enabling firms to pursue MC capability. However, an analysis of full versus partial mass customizers shows that the positive impact of organic structure on MC capability is statistically significant only for full mass customizers, not for partial mass customizers.     

Does majoritarian approval matter in selecting a social choice rule? An exploratory panel study

This study is an attempt to empirically detect the public opinion concerning majoritarian approval axiom. A social choice rule respects majoritarian approval iff it chooses only those alternatives which are regarded by a majority of “voters” to be among the “better half” of the candidates available. We focus on three social choice rules, the Majoritarian Compromise, Borda’s Rule and Condorcet’s Method, among which the Majoritarian Compromise is the only social choice rule always respecting majoritarian approval. We confronted each of our 288 subjects with four hypothetical preference profiles of a hypothetical electorate over some abstract set of four alternatives. At each hypothetical preference profile, two representing the preferences of five and two other of seven voters, the subject was asked to indicate, from an impartial viewpoint, which of the four alternatives should be chosen whose preference profile was presented, which if that is unavailable, then which if both of the above are unavailable, and finally which alternative should be avoided especially. In each of these profiles there is a Majoritarian Compromise-winner, a Borda-winner and a Condorcet-winner, and the Majoritarian Compromise-winner is always distinct from both the Borda-winner and the Condorcet-winner, while the Borda- and Condorcet-winners sometimes coincide. If the Borda- and Condorcet-winners coincide then there are two dummy candidates, otherwise only one, and dummies coincide with neither of the Majoritarian Compromise-, Borda- or Condorcet-winner. We presented our subjects with various types of hypothetical preference profiles, some where Borda respecting majoritarian approval, some where it failed to do so, then again for Condorcet, some profiles it respected majoritarian approval and some where it did not. The main thing we wanted to see was whether subjects’ support for Borda and Condorcet was higher when this social choice rule respected majoritarian approval than it did not. Our unambiguous overall empirical finding is that our subjects’ support for Borda and Condorcet was significantly stronger as they respect majoritarian approval.     

Buy,Keep, or Sell: Economic Growth and the Market for Ideas

An endogenous growth model is developed where each period firms invest in researching and developing new ideas. An idea increases a firm's productivity. By how much depends on the technological propinquity between an idea and the firm's line of business. Ideas can be bought and sold on a market for patents. A firm can sell an idea that is not relevant to its business or buy one if it fails to innovate. The developed model is matched up with stylized facts about the market for patents in the United States. The analysis gauges how efficiency in the patent market affects growth.     

Variable selection in linear regression analysis with alternative Bayesian information criteria using differential evaluation algorithm

In statistical analysis, one of the most important subjects is to select relevant exploratory variables that perfectly explain the dependent variable. Variable selection methods are usually performed within regression analysis. Variable selection is implemented so as to minimize the information criteria (IC) in regression models. Information criteria directly affect the power of prediction and the estimation of selected models. There are numerous information criteria in literature such as Akaike Information Criteria (AIC) and Bayesian Information Criteria (BIC). These criteria are modified for to improve the performance of the selected models. BIC is extended with alternative modifications towards the usage of prior and information matrix. Information matrix-based BIC (IBIC) and scaled unit information prior BIC (SPBIC) are efficient criteria for this modification. In this article, we proposed a combination to perform variable selection via differential evolution (DE) algorithm for minimizing IBIC and SPBIC in linear regression analysis. We concluded that these alternative criteria are very useful for variable selection. We also illustrated the efficiency of this combination with various simulation and application studies.     

Probabilistic graph-coloring in bipartite and split graphs

We revisit in this paper the stochastic model for minimum graph-coloring introduced in (Murat and Paschos in Discrete Appl. Math. 154:564–586, 2006), and study the underlying combinatorial optimization problem (called probabilistic coloring) in bipartite and split graphs. We show that the obvious 2-coloring of any connected bipartite graph achieves standard-approximation ratio 2, that when vertex-probabilities are constant probabilistic coloring is polynomial and, finally, we propose a polynomial algorithm achieving standard-approximation ratio 8/7. We also handle the case of split graphs. We show that probabilistic coloring is NP-hard, even under identical vertex-probabilities, that it is approximable by a polynomial time standard-approximation schema but existence of a fully a polynomial time standard-approximation schema is impossible, even for identical vertex-probabilities, unless P=NP. We finally study differential-approximation of probabilistic coloring in both bipartite and split graphs. Part of this research has been performed while the second author was with the LAMSADE on a research position funded by the CNRS.