On the Existence and Uniqueness of the Maximum Likelihood Estimators of Normal and Lognormal Population Parameters with Grouped Data

Lognormal distribution has abundant applications in various fields. In literature, most inferences on the two parameters of the lognormal distribution are based on Type-I censored sample data. However, exact measurements are not always attainable especially when the observation is below or above the detection limits, and only the numbers of measurements falling into predetermined intervals can be recorded instead. This is the so-called grouped data. In this paper, we will show the existence and uniqueness of the maximum likelihood estimators of the two parameters of the underlying lognormal distribution with Type-I censored data and grouped data. The proof was first established under the case of normal distribution and extended to the lognormal distribution through invariance property. The results are applied to estimate the median and mean of the lognormal population.

Borinquen, la tierra de Belen: Participatory Action Research and Transformational Theory in the Urban Chicago Puerto Rican Experience: A Critical Analysis

This paper analyzes how José Lopéz’s participatory action research and transformational learning theory addresses the oppressed Puerto Rican experience. The paper examines the historical experience of colonialism, explains these two theories, and explores Lopéz’s adult education work in the Puerto Rican community using participatory action research and transformational learning.

How Can Fredrickson’s Broaden-and-Build Theory Enhance Personal Resources?

Abstract: Positive psychology has garnered great attention towards understanding how individuals develop personal resources to enhance wellbeing and flow. Barbara Fredrickson’s broaden and build theory suggests when individuals imbue various personal resources with more positive affect, individuals are more likely able to develop greater resilient assets as a result.

Androgyny versus Patriarchy: A Historicist‐Psychoanalytic Reading of Hemingway's The Garden of Eden and Wilkie Collins's The Woman in White

This paper will examine how male and female character interactions in Ernest Hemingway’s The Garden of Eden and Wilkie Collins’s The Woman in White expose the internalization, normalization, and perpetuation of current modes of patriarchy in terms of gender roles through their presentations of androgyny. This paper highlights the parallels of gender construction and the interaction within the social relations depicted in these two novels, which have not been compared previously. The premise, based on the psychoanalytic theories of Jacques Lacan and cultural materialism of Raymond Williams, is that fiction reflects historical and contemporary social relations. Lacanian and feminist interpretations have both been conducted on literature written by Collins and Hemingway; however, neither look at these particular novels as two examples for the same contemporary phenomenon of 21st century patriarchal interpellation. This paper most similarly follows the work of Slavoj Žižek who analyzes contemporary social relations through film (including classics such as Casablanca and works by Alfred Hitchcock) and other aspects of popular culture. This project’s contribution and uniqueness lie with the way it applies theory to these particular literary works, specifically concerning gender relations and the prevalence of androgyny in widely read works by well-known authors in two very different literary and historical eras. My interpretation of these two novels provides an evaluation of historical and contemporary patriarchal norms and a radical potentiality for subverting the idea of static gender roles that has remained prevalent throughout the three centuries of these texts’ existence.

Quantum transition state theory and solving a first order master equation for complex reactions numerically

The field of chemical kinetics is an exciting and active field. The prevailing theories make a number of simplifying assumptions that do not always hold in actual cases. Another current problem concerns a development of efficient numerical algorithms for solving the master equations that arise in the description of complex reactions. The objective of the present work is to furnish a completely general and exact theory of reaction rates, in a form reminiscent of transition state theory, valid for all fluid phases and also to develop a computer program that can solve complex reactions by finding the concentrations of all participating substances as a function of time. To do so, the full quantum scattering theory is used for deriving the exact rate law, and then the resulting cumulative reaction probability is put into several equivalent forms that take into account all relativistic effects if applicable, including one that is strongly reminiscent of transition state theory, but includes corrections from scattering theory. Then two programs, one for solving complex reactions, the other for solving first order linear kinetic master equations to solve them, have been developed and tested for simple applications.

AIDS workplace *policy adoption and implementation in local government: An analysis of departmental variation

This is an empirical study whose purpose was to examine the process of innovation adoption as an adaptive response by a public organization and its subunits existing under varying degrees of environmental uncertainty. Meshing organization innovation research and contingency theory to form a theoretical framework, an exploratory case study design was undertaken in a large, metropolitan government located in an area with the fourth highest prevalence rate of HIV/AIDS in the country. A number of environmental and organizational factors were examined for their influence upon decision making in the adoption/non-adoption as well as implementation of any number of AIDS-related policies, practices, and programs.^ The major findings of the study are as follows. For the county government itself (macro level), no AIDS-specific workplace policies have been adopted. AIDS activities (AIDS education, AIDS Task Force, AIDS Coordinator, etc.), adopted county-wide early in the epidemic, have all been abandoned. Worker infection rates, in the aggregate and throughout the epidemic have been small. As a result, absent co-worker conflict (isolated and negligible), no increase in employee health care costs, no litigation regarding discrimination, and no major impact on workforce productivity, AIDS has basically become a non-issue at the strategic core of the organization. At the departmental level, policy adoption decisions varied widely. Here the predominant issue is occupational risk, i.e., both objective as well as perceived. As expected, more AIDS-related activities (policies, practices, and programs) were found in departments with workers known to have significant risk for exposure to the AIDS virus (fire rescue, medical examiner, police, etc.). AIDS specific policies, in the form of OSHA's Bloodborn Pathogen Standard, took place primarily because they were legislatively mandated. Union participation varied widely, although not necessarily based upon worker risk. In several departments, the union was a primary factor bringing about adoption decisions. Additional factors were identified and included organizational presence of AIDS expertise, availability of slack resources, and the existence of a policy champion. Other variables, such as subunit size, centralization of decision making, and formalization were not consistent factors explaining adoption decisions. ^

Integrated Performance Assessment of Engineering Projects at the Interface of Emergent Properties and Uncertainty

Investigation of the performance of engineering project organizations is critical for understanding and eliminating inefficiencies in today’s dynamic global markets. The existing theoretical frameworks consider project organizations as monolithic systems and attribute the performance of project organizations to the characteristics of the constituents. However, project organizations consist of complex interdependent networks of agents, information, and resources whose interactions give rise to emergent properties that affect the overall performance of project organizations. Yet, our understanding of the emergent properties in project organizations and their impact on project performance is rather limited. This limitation is one of the major barriers towards creation of integrated theories of performance assessment in project organizations. The objective of this paper is to investigate the emergent properties that affect the ability of project organization to cope with uncertainty. Based on the theories of complex systems, we propose and test a novel framework in which the likelihood of performance variations in project organizations could be investigated based on the environment of uncertainty (i.e., static complexity, dynamic complexity, and external source of disruption) as well as the emergent properties (i.e., absorptive capacity, adaptive capacity, and restorative capacity) of project organizations. The existence and significance of different dimensions of the environment of uncertainty and emergent properties in the proposed framework are tested based on the analysis of the information collected from interviews with senior project managers in the construction industry. The outcomes of this study provide a novel theoretical lens for proactive bottom-up investigation of performance in project organizations at the interface of emergent properties and uncertainty