Representations of moments using lower-order conditional moments

Moments and central moments of a random variable X   are expressed as integrals of functions of lower-order conditional moments and the cumulative distribution of X$X$. In particular, sample central moments of order 2k$2k$ are expressed as the sum of between groups variations, providing an analogue to the analysis of variance. Similar expressions are obtained for the expectations of real-valued and measurable functions of X$X$.     

Ordering conditional lifetimes of coherent systems

Consider a system of n components that has the property that there exists a number r  (r<n)$(r<n)$, such that if it is known that at most r components have failed, the system is still functioning with probability 1. Suppose that such a system is equipped with a warning light that comes up at the time of the failure of the rth component. The system is still working then, and we are interested in its residual life. In this paper we obtain some results which stochastically compare the residual lives of such systems with the same type, or with different types, of components. Some applications are given. In particular, we derive upper and lower bounds on the expected residual lives of such systems given that the warning light has not come up yet, and given that the component hazard rate functions are bounded from below or from above by a known constant.     

A general family of univariate stochastic orders

In this paper we introduce and study a family of univariate stochastic orders parameterized by a function h  . The usual stochastic order _?st${?}_{\mathrm{st}}$, and the total time on test transform order _?ttt${?}_{\mathrm{ttt}}$, are special cases of this new family. We study some properties of the new family, and we give some applications of it in actuarial science, reliability theory, and statistics.     

The two-sample -test with a known ratio of variances

We consider the two-sample t-test where error variances are unknown but with known relationships between them. This situation arises, for example, when two measuring instruments average different number of replicates to report the response. In particular we compare our procedure with the usual Satterthwaite approximation in the two sample t-test with variances unequal. Our procedure uses the knowledge of a known ratio of variances while the Satterthwaite approximation assumes only that the two variances are unequal. Simulations show that our procedure has both better size and better power than the Satterthwaite approximation. Finally, we consider an extension of our results to the General Linear Model.     

Estimating the Lyapunov exponent from chaotic time series with dynamic noise

In this paper, we propose an estimator of the Lyapunov exponent of the skeleton for chaotic time series with dynamic noise and prove the consistency of the estimator under some assumptions.     

Seeing Is Believing: The Transitory Influence of Reputation Information on E‐Commerce Trust and Decision Making

This research examines the transitory influence of reputation information on consumer decision making regarding an e‐vendor. Using social judgment theory to explain how reputation information's effect on perceptions may be fleeting, we specifically examined how user trusting beliefs related to an e‐vendor change after a simple exposure to the Web site. A total of 369 college students participated in an experiment that found that reputation information was initially strongly related to trusting beliefs regarding the e‐vendor, but a brief nonpurchase‐related exposure to the e‐vendor's Web site—that is, direct experience—reduced reputation's effects significantly. This research provides insights into why reputation information may be more important in certain circumstances than in others and enhances our understanding of how consumer decision making is affected by different purchasing contexts. This research also has implications on the design and use of trust‐building technologies.     

Power in consensus: Legitimacy,global value chains and inequality in telecommunications standard-setting

Power is central to GVC research, but the concept is usually restricted to ‘direct’ market power that generates rents. This paper examines ‘diffuse’ conceptualizations of power in GVCs that focus on social construction, arguing that they exist along a continuum from ‘fractured’ to ‘encompassing’. Then, empirically, it shows how different types of power intermix in telecommunications standard-setting from 1999 to 2021, using a comprehensive dataset of every finalized work item in 3GPP. Given powerful network effects in telecommunications, the industry is ripe for monopolistic rents and unequal value capture on a global scale. However, these are attenuated by a layering of power relations, and particularly, an intermediary form of social construction – legitimacy – which is the primary driver of telecommunications standard-setting, and a new type of constitutive power in GVCs, alongside governmentality and hegemony. This is illustrated by focusing on two major shifts in legitimacy in 3GPP – the rise of Huawei and network operators. The paper shows how power becomes layered with collective forms of power partially neutralizing inter-firm forms of dyadic power, which attenuates monopolistic value capture.     

Development of an e-health education program at the workplace using formative research – Technologies for improving quality of life

Backgrounde-Learning, a means by which to expand people’s access to information can be effective in promoting health in the workplace. This study to present steps in the development of an e-health education program at the workplace.ObjectiveThis study aimed to present all steps of develop a telehealth education program for computer users using formative research to identify themes to health education for workers.MethodsA team of expert conducted focus groups with administrative workers (n = 36 participants) to identify thematic health to the development of program. Three meetings were audio video recorded, and notes. All data were based on constant analysis, classical content analysis and keywords in-context.ResultsThe content of the nine audio videos included four musculoskeletal health topics (Walking Program, Back School, Muscle Relaxation Techniques, and Work-related Musculoskeletal Diseases); three to healthy diet (Eating and Commensality, Ultra-processed Food and Food labeling, and Oil and Fat); two to mental health (Burnout Syndrome and the Meaning of work).ConclusionThe proposed steps in the development of a workplace e-health education program were successfully achieved. The engagement of the workers’ staged focus groups was fundamental to the choice of themes relevant to the population in question.     

PI3K pathway and Bcl-2 family. Clinicopathological features in prostate cancer

The phosphatidylinositol 3-kinase (PI3K)/AKT/mTOR pathways and Bcl-2 family play a central role in prostate cancer (PC). The aim was to determine influence in the biochemical progression in PC. To evaluate the association between clinic pathological and immunohistochemical variables, Spearman’s test was performed. Log-rank test and Kaplan–Meier curves were used for survival comparisons. To explore the correlation of the studied immunohistochemical parameters and the established prognostic variables with biochemical progression, univariate and multivariate Cox proportional Hazard regression analyses were performed. Spearman analysis showed correlation between stroma expression and tumor expression of PI3K with biochemical progression (p?=?.009, p?=?.004), respectively, and tumor immunohistochemical score with biochemical progression (p?=?.051). In the multivariate Cox regression model, only PI3K was retained as independent predictors of biochemical progression. In stroma expression, PI3K is (HR 0.172, 95% CI 0.065–0.452, p?=?.000); tumor expression, PI3K is (HR 0.087, 95% CI 0.026–0.293, p?=?.000), and tumor immunohistochemical score (HR 0.382, 95% CI 0.209–0.697 p?=?.002). Our results suggest a role for prostatic expression of PI3K was prognostic markers for PC. PI3K/AKT/mTOR and Bcl-2 family are becoming an important therapeutic target and predictive biomarkers of onset and progression of PC.