Non-singularity and asymptotic independence

1986 ◽  
Vol 23 (A) ◽  
pp. 9-21
Author(s):  
Peter Bloomfield

A stationary stochastic process must satisfy various requirements to make it a realistic model for a phenomenon in the real world. Some of these requirements are quantitative, such as agreement of distribution or moments. Other, more qualitative requirements deal with the general behavior of the process. Two such requirements are non-singularity and asymptotic independence. Each will be discussed from a variety of points of view, and given precise definition in a succession of progressively stronger forms.

1986 ◽  
Vol 23 (A) ◽  
pp. 9-21
Author(s):  
Peter Bloomfield

A stationary stochastic process must satisfy various requirements to make it a realistic model for a phenomenon in the real world. Some of these requirements are quantitative, such as agreement of distribution or moments. Other, more qualitative requirements deal with the general behavior of the process. Two such requirements are non-singularity and asymptotic independence. Each will be discussed from a variety of points of view, and given precise definition in a succession of progressively stronger forms.


Author(s):  
Rivkah Zim

This chapter demonstrates how Boethius' text established many of the themes and forms that spoke to and for later writers in prison. These include: consolation from the expressive power of ordered lyric meters set against the disorder of injustice and suffering in the real world; the importance of a well-stocked mind and imagination in maintaining resistance to oppression; and the expressive potential of paradox in reconciling apparent contraries and celebrating the creativity that may arise under situations of adversity. The text also promoted the subtle simplicity of dialectic and patterns of opposing binaries used to resolve impossible tensions in apparently progressive forms of logical argument and related forms of dialogic exchange between different points of view represented in argument, correspondence, and intertextual allusiveness. Finally, it demonstrated the urgent need often experienced in the condemned cell to set the record straight (to name names) or to construct a memorial image of the authorial self and, more objectively, to testify for humankind by offering insights derived from the prisoner's experience.


2019 ◽  
Vol 3 (1) ◽  
pp. 13-22
Author(s):  
Bijan Bidabad ◽  
Behrouz Bidabad

This note discusses the existence of "complex probability" in the real world sensible problems. By defining a measure more general than the conventional definition of probability, the transition probability matrix of discrete Markov chain is broken to the periods shorter than a complete step of the transition. In this regard, the complex probability is implied.


2020 ◽  
pp. 88-118
Author(s):  
Kevin Vallier

A right to freedom of association can both be justified to a diverse public, and exercises of that right help create and sustain social and political trust in the real world. Freedom of association can be justified to multiple points of view, both liberal and illiberal, to protect the pursuit of diverse forms of life. It creates real trust by putting people in contact with other members and with nonmembers. It creates trust for the right reasons because the recognition, protection, and exercise of the right of association serve as public evidence of the trustworthiness of association members and governments that recognize and respect and protect the rights of associations members. Since freedom of association creates trust for the right reasons, it can help arrest falling trust and increasing polarization.


2007 ◽  
Vol 07 (04) ◽  
pp. 417-437 ◽  
Author(s):  
GUSZTÁV MORVAI ◽  
BENJAMIN WEISS

The problem of extracting as much information as possible from a sequence of observations of a stationary stochastic process X0,X1,…,Xn has been considered by many authors from different points of view. It has long been known through the work of D. Bailey that no universal estimator for P(Xn+1|X0,X1,…,Xn) can be found which converges to the true estimator almost surely. Despite this result, for restricted classes of processes, or for sequences of estimators along stopping times, universal estimators can be found. We present here a survey of some of the recent work that has been done along these lines.


2020 ◽  
Vol 9 (4) ◽  
pp. 1550-1557
Author(s):  
Dedy Prasetya Kristiadi ◽  
Po Abas Sunarya ◽  
Melvin Ismanto ◽  
Joshua Dylan ◽  
Ignasius Raffael Santoso ◽  
...  

In a world where the algorithm can control the lives of society, it is not surprising that specific complications in determining the fairness in the algorithmic decision will arise at some point. Machine learning has been the de facto tool to forecast a problem that humans cannot reliably predict without injecting some amount of subjectivity in it (i.e., eliminating the “irrational” nature of humans). In this paper, we proposed a framework for defining a fair algorithm metric by compiling information and propositions from various papers into a single summarized list of fairness requirements (guideline alike). The researcher can then adopt it as a foundation or reference to aid them in developing their interpretation of algorithmic fairness. Therefore, future work for this domain would have a more straightforward development process. We also found while structuring this framework that to develop a concept of fairness that everyone can accept, it would require collaboration with other domain expertise (e.g., social science, law, etc.) to avoid any misinformation or naivety that might occur from that particular subject. That is because this field of algorithmic fairness is far broader than one would think initially; various problems from the multiple points of view could come by unnoticed to the novice’s eye. In the real world, using active discriminator attributes such as religion, race, nation, tribe, religion, and gender become the problems, but in the algorithm, it becomes the fairness reason.


2020 ◽  
Vol 9 (3) ◽  
pp. 55
Author(s):  
Erina Novita ◽  
Nursaid Nursaid

AbstractThis study aims to describe the structure of the text (orientation, complications, resolution), elements, and types of text contained in the  fantasy text stories written by students of class VII of  SMP Negeri 7 Padang. The data to be analyzed in the form of structure, elements, and type of text contained in the text of a fantasy story. Data collection techniques in this study were carried out through three stages. First, researchers read and understand the text of fantasy stories. Second, researchers mark the sections related to the structure of the text, elements, and types of text of fantasy stories. Third, inventorying findings related to the structure, elements, and type of text into the data inventory format Based on the results of the study, it can be concluded three things as follows. First, in general students of class VII SMP 7 Padang have used the three text structures of fantasy stories. This is evident from the 48 fantasy story texts analyzed there are 2 fantasy story texts that do not have a complete structure. Second, students generally use six elements of fantasy story text. This is evident from the 48 fantasy texts analyzed which all have complete elements, namely themes, plot, characters and characterizations, settings, points of view, and mandates. Third, the type of fantasy story text is divided into two, namely (1) based on conformity with the real world, students are more likely to write slices of fantasy stories and (2) based on story settings, students tend to write stories over time, from the present to the past. Kata Kunci: Struktur, Teks Cerita Fantasi Tipe, Unsur 


Author(s):  
Michael Goodhart

Injustice offers a radical alternative to familiar ways of thinking about problems of justice and injustice, one motivated by the urgency of concrete struggles over injustice in the real world. It rejects the paradigm of ideal moral theory, which suffers from theoretical paralysis, distortional thinking, and a reflexive tendency to subordinate politics to morality. Instead, this book proposes an innovative approach that integrates realistic analysis of conflict, power, and politics with substantive normative critique and prescription. It does so by developing a bifocal theoretical framework that treats claims about justice and injustice as ideological claims. This framework enables theorists to shift their focus between two complementary perspectives, distinguishing the work of analyzing politics and advocating for particular substantive points of view. The book outlines a substantive democratic account of injustice and uses it to show what practical difference it makes if one adopts the approach it recommends. Injustice describes the work that political theory and political theorists can do to combat injustice and illustrates it through a novel reconceptualization of responsibility for injustice.


2017 ◽  
Vol 40 ◽  
Author(s):  
Stefan Van der Stigchel ◽  
Sebastiaan Mathôt

AbstractEven though we lack a precise definition of “item,” it is clear that people do parse their visual environment into objects (the real-world equivalent of items). We will review evidence that items are essential in visual search, and argue that computer vision – especially deep learning – may offer a solution for the lack of a solid definition of “item.”


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