Dynamic binomials with an application to gender bias analysis

2016 ◽  
Vol 53 (1) ◽  
pp. 82-90 ◽  
Author(s):  
Eva Ferreira ◽  
Winfried Stute

Abstract We analyze the dynamics of a stochastic process driven by binomial random variables, where the probability of success depends on the past realization. We study the limit behavior when the group size is fixed but the number of iterations increases. It will become apparent that the so-called policy function and its fixed point play an outstanding role. Some applications to a statistical analysis of gender bias are also briefly discussed.

2021 ◽  
Vol 58 (1) ◽  
pp. 22-41
Author(s):  
Fabian A. Harang ◽  
Marc Lagunas-Merino ◽  
Salvador Ortiz-Latorre

AbstractWe propose a new multifractional stochastic process which allows for self-exciting behavior, similar to what can be seen for example in earthquakes and other self-organizing phenomena. The process can be seen as an extension of a multifractional Brownian motion, where the Hurst function is dependent on the past of the process. We define this by means of a stochastic Volterra equation, and we prove existence and uniqueness of this equation, as well as giving bounds on the p-order moments, for all $p\geq1$. We show convergence of an Euler–Maruyama scheme for the process, and also give the rate of convergence, which is dependent on the self-exciting dynamics of the process. Moreover, we discuss various applications of this process, and give examples of different functions to model self-exciting behavior.


2001 ◽  
Vol 14 ◽  
pp. 56-57 ◽  
Author(s):  
Bettina Bergmann

We have reached an important moment in the study of the Roman house. The past 20 years have been extremely active, with scholars approaching domestic space down different disciplinary and methodological avenues. Since the important essay on Campanian houses by A. Wallace-Hadrill in 1988, new excavations and scores of books and articles have changed the picture of Pompeii and, with it, that of the Roman house. Theoretical archaeologists have taken the lead, approaching Pompeii as an "archaeological laboratory" in which, armed with the interpretative tools of spatial and statistical analysis, they attempt to recover ancient behavioral patterns. The interdisciplinary picture that emerges is complex and inevitably contradictory. There is so much new information and such a tangle of perspectives that it is time to consider what we have learned and what kinds of interpretative tools we might best employ. Without doubt this is an exciting time in Roman studies. But two overviews of recent scholarship to appear this year, the present one by R. Tybout and another by P. Allison (AJA 105.2 [2001]), express considerable frustration and resort to ad hominem recriminations that signal a heated backlash, at least among some.


1941 ◽  
Vol 1 (1) ◽  
pp. 26-41 ◽  
Author(s):  
Simon Kuznets

This paper deals with the relation between statistical analysis as applied in economic inquiry and history as written or interpreted by economic historians. Although both these branches of economic study derive from the same body of raw materials of inquiry—the recordable past and present of economic society—each has developed in comparative isolation from the other. Statistical economists have failed to utilize adequately the contributions that economic historians have made to our knowledge of the past; and historians have rarely employed either the analytical tools or the basic theoretical hypotheses of statistical research. It is the thesis of this essay that such failure to effect a close interrelation between historical approach and statistical analysis needs to be corrected in the light of the final goal of economic study.


2019 ◽  
Vol 2019 (3) ◽  
pp. 170-190
Author(s):  
Archita Agarwal ◽  
Maurice Herlihy ◽  
Seny Kamara ◽  
Tarik Moataz

Abstract The problem of privatizing statistical databases is a well-studied topic that has culminated with the notion of differential privacy. The complementary problem of securing these differentially private databases, however, has—as far as we know—not been considered in the past. While the security of private databases is in theory orthogonal to the problem of private statistical analysis (e.g., in the central model of differential privacy the curator is trusted) the recent real-world deployments of differentially-private systems suggest that it will become a problem of increasing importance. In this work, we consider the problem of designing encrypted databases (EDB) that support differentially-private statistical queries. More precisely, these EDBs should support a set of encrypted operations with which a curator can securely query and manage its data, and a set of private operations with which an analyst can privately analyze the data. Using such an EDB, a curator can securely outsource its database to an untrusted server (e.g., on-premise or in the cloud) while still allowing an analyst to privately query it. We show how to design an EDB that supports private histogram queries. As a building block, we introduce a differentially-private encrypted counter based on the binary mechanism of Chan et al. (ICALP, 2010). We then carefully combine multiple instances of this counter with a standard encrypted database scheme to support differentially-private histogram queries.


2021 ◽  
Vol 34 (02) ◽  
pp. 123-129
Author(s):  
Lex Rutten ◽  
Raj Kumar Manchanda ◽  
José Eizayaga

AbstractDuring the past century, the amount of information about homeopathic medicines has grown dramatically. However, the recent coronavirus disease 2019 pandemic has shown that homeopathic practitioners do not use more medicines than a century ago and they seem to use less symptoms to find the proper medicine. This could be explained by the fact that the more than a hundred years old repertory was flawed from the beginning and that more information in the repertory leads the practitioner astray in an increasingly complex labyrinth of data.This can be resolved by applying modern data management techniques based on systematic collection of treatment data and statistical analysis of the data. Homeopathic practitioners should collect these data avoiding bias. This requires additional training of practitioners, which should also result in a higher scientific level of homeopathic practice and increasingly effective treatment as the database grows.


Author(s):  
John K. McSweeney

This chapter quantifies the dynamics of a crossword puzzle by using a network structure to model it. Specifically, the chapter determines how the interaction between the structure of cells in the puzzle and the difficulty of the clues affects the puzzle's solvability. It first builds an iterative stochastic process that exactly describes the solution and obtains its deterministic approximation, which gives a very simple fixed-point equation to solve for the final solution proportion. The chapter then shows via simulation on actual crosswords from the Sunday edition of The New York Times that certain network properties inherent to actual crossword networks are important predictors of the final solution size of the puzzle.


2020 ◽  
pp. 084653712094664
Author(s):  
Nicole Li ◽  
Mostafa Alabousi ◽  
Michael N. Patlas

Purpose: To identify trends in female authorship in the Canadian Association of Radiologists Journal (CARJ) from 2010 to 2019. Methods: We retrieved papers published in the CARJ over a 10-year period, and retrospectively reviewed 602 articles. All articles except editorials and advertisements were included. We categorized the names of the first and last position authors as female or male and excluded articles that had at least one author of which gender was not known. We compared the trends in the first and last position authors of the articles from 2010 to 2019. For statistical analysis, logistic regression was performed with reported odds ratios (ORs), and a P value of <.05 was defined as statistically significant. Results: Five hundred thirteen articles met inclusion criteria. Among them, 23 articles with a single author were classified as having only a first author. 39.8% (204/513) of first authors were female and 26.9% (132/490) of last authors were female. There has been an overall temporal increase in the odds of both the first and last author being female in CARJ publications (OR: 1.11, P = .034). Similarly, the odds a CARJ publication’s first author being female increased over time (OR: 1.07, P = .033). Female last author did not predict female first author (OR: 1.48, P = .056). There was no association identified between female last author and year of publication (OR: 1.04, P = .225). Conclusion: There has been an overall increase in engagement of female authorship in CARJ.


2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Ming Gong ◽  
Feihu Xu ◽  
Zheng-Da Li ◽  
Zizhu Wang ◽  
Yu-Zhe Zhang ◽  
...  

AbstractQuantum resetting protocols allow a quantum system to be sent to a state in the past by making it interact with quantum probes when neither the free evolution of the system nor the interaction is controlled. We experimentally verify the simplest non-trivial case of a quantum resetting protocol, known as the $${{\mathcal{W}}}_{4}$$ W 4 protocol, with five superconducting qubits, testing it with different types of free evolutions and target–probe interactions. After projection, we obtained a reset state fidelity as high as 0.951, and the process fidelity was found to be 0.792. We also implemented 100 randomly chosen interactions and demonstrated an average success probability of 0.323 for $$\left|1\right\rangle$$ 1 and 0.292 for $$\left|-\right\rangle$$ − , and experimentally confirmed the nonzero probability of success for unknown interactions; the numerical simulated values are about 0.3. Our experiment shows that the simplest quantum resetting protocol can be implemented with current technologies, making such protocols a valuable tool in the eternal fight against unwanted evolution in quantum systems.


1992 ◽  
Vol 17 (3) ◽  
pp. 11-26
Author(s):  
Pramod Verma ◽  
K Kumar

What are the distinct trends and patterns of industrial conflicts in India in the past two decades? This article by Verma and Kumar addresses this issue and discusses the emerging trends based on an analysis of considerable data.


1980 ◽  
Vol 3 (2) ◽  
pp. 27-28
Author(s):  
J. Koehring

For the past several years, social analysis has been a major, and greatly emphasized, factor in the formulation and consideration of AID economic and social development programs and projects. This "new" thrust underlines what should always shave been obvious-that programs will work better, be more acceptable and have a higher probability of success if, other things being equal, they take into account the relationship between people and their society.


Sign in / Sign up

Export Citation Format

Share Document