Efficient sampling from truncated bivariate Gaussians via Box-Muller transformation

Many practical simulation tasks demand procedures to draw samples efficiently from multivariate truncated Gaussian distributions. In this work, we introduce a novel rejection approach, based on the Box-Muller transformation, to generate samples from a truncated bivariate Gaussian density with an arbitrary support. Furthermore, for an important class of support regions the new method allows us to achieve exact sampling, thus becoming the most efficient approach possible. RESUMEN. Método específico para generar muestras de manera eficiente de Gaussianas bidimensionales truncadas con cualquier zona de truncamiento basado en la transformación de Box-Muller.

The Kramer sampling theorem revisited

The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space H through an H -valued kernel K defined on an appropriate domain.

Generalized sampling in U-invariant subspaces

In this work we carry out some results in sampling theory for U-invariant subspaces of a separable Hilbert space H, also called atomic subspaces. These spaces are a generalization of the well-known shift- invariant subspaces in L2 (R); here the space L2 (R) is replaced by H, and the shift operator by U. Having as data the samples of some related operators, we derive frame expansions allowing the recovery of the elements in Aa. Moreover, we include a frame perturbation-type result whenever the samples are affected with a jitter error.

Independent doubly Adaptive Rejection Metropolis Sampling

Adaptive Rejection Metropolis Sampling (ARMS) is a wellknown MCMC scheme for generating samples from onedimensional target distributions. ARMS is widely used within Gibbs sampling, where automatic and fast samplers are often needed to draw from univariate full-conditional densities. In this work, we propose an alternative adaptive algorithm (IA2RMS) that overcomes the main drawback of ARMS (an uncomplete adaptation of the proposal in some cases), speeding up the convergence of the chain to the target. Numerical results show that IA2RMS outperforms the standard ARMS, providing a correlation among samples close to zero.

Sampling Quantum Nonlocal Correlations with High Probability

It is well known that quantum correlations for bipartite dichotomic measurements are those of the form (Formula presented.), where the vectors ui and vj are in the unit ball of a real Hilbert space. In this work we study the probability of the nonlocal nature of these correlations as a function of (Formula presented.), where the previous vectors are sampled according to the Haar measure in the unit sphere of (Formula presented.). In particular, we prove the existence of an (Formula presented.) such that if (Formula presented.), (Formula presented.) is nonlocal with probability tending to 1 as (Formula presented.), while for (Formula presented.), (Formula presented.) is local with probability tending to 1 as (Formula presented.).

Efficient sampling of band-limited signals from sine wave crossings

This correspondence presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave. The method makes it possible to design A/D converters that only deliver the crossing timings, which are then used to interpolate the input signal at arbitrary instants. Potentially, it may allow for reductions in power consumption and complexity in these converters. The reconstruction in the discrete domain is based on a recently-proposed modification of the Lagrange interpolator, which is readily implementable with linear complexity and efficiently, given that it re-uses known schemes for variable fractional-delay (VFD) filters. As a spin-off, the method allows one to perform spectral analysis from sine wave crossings with the complexity of the FFT. Finally, the results in the correspondence are validated in several numerical examples.

Formerly utilized MED/AEC sites remedial action program : radiological survey of the Middlesex Sampling Plant, Middlesexl, New Jersey.

"UC-70."

Aquatic passive sampling of herbicides on naked particle loaded membranes: Accelerated measurement and empirical estimation of kinetic parameters

Water-sampler equilibrium partitioning coefficients and aqueous boundary layer mass transfer coefficients for atrazine, diuron, hexazionone and fluometuron onto C18 and SDB-RPS Empore disk-based aquatic passive samplers have been determined experimentally under a laminar flow regime (Re = 5400). The method involved accelerating the time to equilibrium of the samplers by exposing them to three water concentrations, decreasing stepwise to 50% and then 25% of the original concentration. Assuming first-order Fickian kinetics across a rate-limiting aqueous boundary layer, both parameters are determined computationally by unconstrained nonlinear optimization. In addition, a method of estimation of mass transfer coefficients-therefore sampling rates-using the dimensionless Sherwood correlation developed for laminar flow over a flat plate is applied. For each of the herbicides, this correlation is validated to within 40% of the experimental data. The study demonstrates that for trace concentrations (sub 0.1 mu g/L) and these flow conditions, a naked Empore disk performs well as an integrative sampler over short deployments (up to 7 days) for the range of polar herbicides investigated. The SDB-RPS disk allows a longer integrative period than the C18 disk due to its higher sorbent mass and/or its more polar sorbent chemistry. This work also suggests that for certain passive sampler designs, empirical estimation of sampling rates may be possible using correlations that have been available in the chemical engineering literature for some time.

Evaluation of the effectiveness of enrichment for a group of captive squirrel monkeys (Saimiri sciureus) using time-lapse recording and instantaneous scan sampling

One aim of providing enrichment to captive animals is to promote the expression of behavioural patterns similar to their wild conspecifics. We evaluated the effectiveness of four types of simple feeding enrichment, using surveillance cameras to record the behaviour of 11 captive squirrel monkeys housed in a single enclosure at Alma Park Zoo in Brisbane, Australia. The enrichment involved differences in presentation (whole/chopped) and distribution (localised/scattered) of fruit and vegetables that were part of the normal diet of these animals. Distinguishing between individual squirrel monkeys was not possible from the videos, so Instantaneous Scan Sampling was used to record the numbers of animals performing particular behaviours every 15 minutes over the 24 hour period as well as every 5 minutes for the hour following provision of enrichment. This provided an estimation of the percentage of time spent by the group in various activities. As a result of the enrichment, the activity budget of the group more closely approximated that of wild squirrel monkeys. However on a number of occasions where the enrichment required the squirrel monkeys to work to obtain their food (whole fruit and vegetables), a number of individuals became aggressive towards the zookeepers. This result highlights the variation in responses of individual animals towards enrichment and indicates that in enclosures with large numbers of animals, the response of each individual should be evaluated in addition to the overall benefit of the enrichment for the group. Furthermore, this variation also suggests that it may be beneficial to provide the animals with choices of enrichment as opposed to providing single forms of enrichment that may only be effective for a proportion of the animals in the enclosure, and may even result in undesirable responses from some individuals.

House building productivity : a study of labour requirements on Scottish house building sites using activity sampling methods

This study is concerned with labour productivity in traditional house building in Scotland. Productivity is a measure of the effective use of resources and provides vital benefits that can be combined in a number of ways. The introduction gives the background to two Scottish house building sites (Blantyre and Greenfield) that were surveyed by the Building Research Establishment (BEE) activity sampling method to provide the data for the study. The study had two main objectives; (1) summary data analysis in average manhours per house between all the houses on the site, and (2) detailed data analysis in average manhours for each house block on the site. The introduction also provides a literature review related to the objectives. The method is outlined in Chapter 2, the sites are discussed in Chapter 3, and Chapter 4 covers the method application on each site and a method development made in the study. The summary data analysis (Chapter 5) compares Blantyre and Greenfield, and two previous BEE surveys in England. The main detailed data analysis consisted of three forms, (Chapters 6, 7 and 8) each applied to a set of operations. The three forms of analysis were variations in average manhours per house for each house block on the site compared with; (1) block construction order, (2) average number of separate visits per house made by operatives to each block to complete an operation, and (3) average number of different operatives per house employed on an operation in each block. Three miscellaneous items of detail data analysis are discussed in Chapter 9. The conclusions to the whole study state that considerable variations in manhours for repeated operations were discovered, that the numbers of visits by operatives to complete operations were large and that the numbers of different operatives employed in some operations were a factor related to productivity. A critique of the activity sampling method suggests that the data produced is reliable in summary form and can give a good context for more detailed data collection. For future work, this could take the form of selected operations, with the context of an activity sampling survey, that wuld be intensively surveyed by other methods.

Autonomy and authority in the lives of children who work as domestic servants in Ghana

Limited literature exists on Ghana's child domestic servants, and researchers have found it difficult to locate and study these children. The research for this dissertation used qualitative research methodologies and non-probabilistic sampling techniques to make it possible to interview child domestic servants, their parents, employers and recruiters in Ghana. The findings from the qualitative analyses informed the second part of this study, which was quantitative and tested hypotheses using crosstabulations and logistic regression analyses that were based on survey data from the Ghana Statistical Service. Explanatory variables in the quantitative analyses included lineage, level of education and relationships to the household head. ^ This study located findings about the processes of children's recruitment into domestic servitude, their working conditions and methods of remuneration in theories of slavery to answer the question of whether or not child domestic servants are slaves. According to the findings, elite households in Ghana exploit children from rural regions because they have taken advantage of a historical practice that allowed children to live with older members of their extended families to provide domestic services and in return, be given the chance to receive formal education or to learn a trade. The participants in the qualitative part of this research described the treatments that they receive from their employers as slavery. Nevertheless, the processes of their recruitment and the age at which most of them accepted such job offers made it difficult to categorize a majority of them as contemporary slaves. ^

Theological reflection at work: A phenomenological study of learning processes

Using the learning descriptions of graduates of a graduate ministry program, the mechanisms of interactions between the knowledge facets in learning processes were explored and described. The intent of the study was to explore how explicit, implicit, and emancipatory knowledge facets interacted in the learning processes at or about work. The study provided empirical research on Yang's (2003) holistic learning theory. ^ A phenomenological research design was used to explore the essence of knowledge facet interactions. I achieved epoche through the disclosure of assumptions and a written self-experience to bracket biases. A criterion based, stratified sampling strategy was used to identify participants. The sample was stratified by graduation date. The sample consisted of 11 participants and was composed primarily of married (n = 9), white, non-Hispanic (n = 10), females (n = 9), who were Roman Catholic (n = 9). Professionally, the majority of the group were teachers or professors (n = 5). ^ A semi-structured interview guide with scheduled and unscheduled probes was used. Each approximately 1-hour long interview was digitally recorded and transcribed. The transcripts were coded using a priori codes from holistic learning theory and one emergent code. The coded data were analyzed by identifying patterns, similarities, and differences under each code and then between codes. Steps to increase the trustworthiness of the study included member checks, coding checks, and thick descriptions of the data. ^ Five themes were discovered including (a) the difficulty in describing interactions between knowledge facets; (b) actual mechanisms of interactions between knowledge facets; (c) knowledge facets initiating learning and dominating learning processes; (d) the dangers of one-dimensional learning or using only one knowledge facet to learn; and (e) the role of community in learning. The interpretation confirmed, extended, and challenged holistic learning theory. Mechanisms of interaction included knowledge facets expressing, informing, changing, and guiding one another. Implications included the need for a more complex model of learning and the value of seeing spirituality in the learning process. The study raised questions for future research including exploring learning processes with people from non-Christian faith traditions or other academic disciplines and the role of spiritual identity in learning. ^

An investigation of the strategies used by organizations participating in the welfare-to-work network program and correlation of the strategies with the retention data to determine best practices for job retention among former welfare recipients

This ex post facto study (N = 209) examined the relationships between employer job strategies and job retention among organizations participating in Florida welfare-to-work network programs and associated the strategies with job retention data to determine best practices. ^ An internet-based self-report survey battery was administered to a heterogeneous sampling of organizations participating in the Florida welfare-to-work network program. Hypotheses were tested through correlational and hierarchical regression analytic procedures. The partial correlation results linked each of the job retention strategies to job retention. Wages, benefits, training and supervision, communication, job growth, work/life balance, fairness and respect were all significantly related to job retention. Hierarchical regression results indicated that the training and supervision variable was the best predictor of job retention in the regression equation. ^ The size of the organization was also a significant predictor of job retention. Large organizations reported higher job retention rates than small organizations. There was no statistical difference between the types of organizations (profit-making and non-profit) and job retention. The standardized betas ranged from to .26 to .41 in the regression equation. Twenty percent of the variance in job retention was explained by the combination of demographic and job retention strategy predictors, supporting the theoretical, empirical, and practical relevance of understanding the association between employer job strategies and job retention outcomes. Implications for adult education and human resource development theory, research, and practice are highlighted as possible strategic leverage points for creating conditions that facilitate the development of job strategies as a means for improving former welfare workers’ job retention.^

Minnow trap sampling, North River

This material is based upon work supported by the National Science Foundation through the Florida Coastal Everglades Long-Term Ecological Research program under Cooperative Agreements #DBI-0620409 and #DEB-9910514. This image is made available for non-commercial or educational use only.

Employer participation in Florida school -to -work initiatives

This study used a cross-sectional design and descriptive research methodology to assess the characteristics and practices of employers participating in Florida school-to-work (STW) initiatives, the factors influencing their participation, and their STW partnerships with schools. The study also examined the relationships between employer characteristics and participation. ^ A sampling frame of 15,202 employers from the 28 Florida STW regions was constructed. Data were collected via a mail survey with a random sample of employers, using a researcher-designed questionnaire. Data were analyzed using descriptive statistics, correlational analysis, and analysis of variance. ^ At the 95% confidence level, it was estimated that the mean establishment size in the population is between 25 and 51 employees and that employers have been involved in STW partnerships between five and seven years. ^ The study revealed broad-based employer participation in three of four areas: Working with Students, Working with Educators, and Internal Company Practices Supporting STW. A fourth area, Building a System, showed generally low participation. Data indicate that workforce needs are important incentives to employer STW participation beyond their desire to contribute to education or the community. Data also indicate that lack of information on STW is the greatest barrier to employer participation. ^ Sample employers have more positive perceptions of the value of their partnerships with schools than of the quality of the partnerships. Ninety-four percent agreed that students are better prepared for work and careers as a result of the partnership's activities. More than half agreed that a sense of trust and good communication exist between educators and employer partners. ^ Employer variables found to have a significant, positive relationship with participation include size (coefficient of determination r2 = .116), years in STW partnerships (r2 = .128), and perceptions of partnership quality (r2 = .092) and value (r2 = .112). ^ A major conclusion based on the findings of this study is that employer participation is optimized in initiatives that achieve important STW outcomes for students and build long-term relationships between employers and schools. Another that in Florida, the STW Opportunities Act of 1994 has not resulted in substantially greater employer involvement in building a STW system. ^