Random packing of an interval. II

We showed in [2] that if an object of initial size x (x large) is subjected to a succession of random partitions, then the object is decomposed into a large number of terminal cells, each of relatively small size, where if Z(x, B) denotes the number of such cells whose sizes are points in the set B, then there exists c, (0 < ≦ 1), such that Z(x, B)x −c converges in probability, as x → ∞, to a random variable W. We show here that if a parent object of size x produces k offspring of sizes y 1, y 2, ···, y k and if for each k x - y 1 - y 2 - ··· - y k (the ‘waste’ or the ‘cover’, depending on the point of view) is relatively small, then for each n the nth cumulant, Ψ n (x, B), of Z(x, B) satisfies Ψ n (x, B)x -c → κ n (B), as x → ∞, for some κ n (B). Thus, writing N = x c , Z(x, B) has approximately the same distribution as the sum of N independent and identically distributed random variables (The determination of the distribution of the individual appears to be a difficult problem.) The theory also applies when an object of moderate size is broken down into very fine particles or granules.

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Random packing of an interval. II

Advances in Applied Probability ◽

10.2307/1426956 ◽

1979 ◽

Vol 11 (3) ◽

pp. 591-602

Author(s):

David Mannion

Keyword(s):

Fine Particles ◽

Random Variables ◽

Random Variable ◽

Difficult Problem ◽

Random Packing ◽

Point Of View ◽

Initial Size ◽

Moderate Size ◽

The Individual

We showed in [2] that if an object of initial size x (x large) is subjected to a succession of random partitions, then the object is decomposed into a large number of terminal cells, each of relatively small size, where if Z(x, B) denotes the number of such cells whose sizes are points in the set B, then there exists c, (0 < ≦ 1), such that Z(x, B)x−c converges in probability, as x → ∞, to a random variable W. We show here that if a parent object of size x produces k offspring of sizes y1, y2, ···, yk and if for each k x - y1 - y2 - ··· - yk (the ‘waste’ or the ‘cover’, depending on the point of view) is relatively small, then for each n the nth cumulant, Ψn (x, B), of Z(x, B) satisfies Ψn (x, B)x-c → κn (B), as x → ∞, for some κn(B). Thus, writing N = xc, Z(x, B) has approximately the same distribution as the sum of N independent and identically distributed random variables (The determination of the distribution of the individual appears to be a difficult problem.) The theory also applies when an object of moderate size is broken down into very fine particles or granules.

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A note on the implications of factorial invariance for common factor variable equivalence

10.31234/osf.io/qauct ◽

2016 ◽

Author(s):

Michael Maraun ◽

Moritz Heene

Keyword(s):

Common Factor ◽

Random Variables ◽

Random Variable ◽

Factorial Invariance ◽

Technical Examination ◽

The Common ◽

Factor Variable

There has come to exist within the psychometric literature a generalized belief to the effect that a determination of the level of factorial invariance that holds over a set of k populations Δj, j = 1..s, is central to ascertaining whether or not the common factor random variables ξj, j = 1..s, are equivalent. In the current manuscript, a technical examination of this belief is undertaken. The chief conclusion of the work is that, as long as technical, statistical senses of random variable equivalence are adhered to, the belief is unfounded.

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LANGUAGE AND CULTURE: DYAD AND UNITY

MGIMO Review of International Relations ◽

10.24833/2071-8160-2013-6-33-248-253 ◽

2013 ◽

pp. 248-253

Author(s):

A. L. Semenov ◽

V. I. Ershov ◽

D. A. Gusarov

Keyword(s):

Ethnic Groups ◽

Cultural Knowledge ◽

Point Of View ◽

Language And Culture ◽

Knowledge Based ◽

Leading Role ◽

Honorary Doctor ◽

The Individual ◽

And Behavior

This paper deals with the concept of the translation approach to the problem of interaction of language and culture in terms of determination of the translation solutions by linguoethnic factors. The authors pay main attention to the analysis of the notion of culture. The concept proceeds from the views and opinions regarding the culture and its role in shaping the identity of the person introduced by the honorary doctor (doctor honoris cause) of the MGIMO-University Federico Major in his book «New page». Sharing the point of view of F. Major , the authors come to the conclusion that culture is a knowledge, based on which an individual perceives and evaluates his performance and behavior. Projecting such a position on the verbal behavior, the authors highlight the leading role of culture in the process of producing a speech act played when choosing the individual models of behavior on the basis of the knowledge of the communicative situation. Based on F. Mayor`s opinion that culture unites rather than divides people, the authors note the presence of universal and unique linguoethnic elements in the cultural knowledge of the representatives of various ethnic groups which determine the degree of similarities and differences in the ways of expressing knowledge in different languages. In this paper the authors reasonably use the term «linguoethnic» to describe the cultural-cognitive peculiarities inherent to individuals as representatives of different ethnic groups, as well as give comparison of the terms «linguoethnic» and «linguocultural».

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Statistical characteristics of sources of vehicle kinematic excitation

MATEC Web of Conferences ◽

10.1051/matecconf/202031300011 ◽

2020 ◽

Vol 313 ◽

pp. 00011

Author(s):

Jozef Melcer ◽

Eva Merčiaková ◽

Mária Kúdelčíková

Keyword(s):

Probability Theory ◽

Spectral Density ◽

Surface Quality ◽

Correlation Functions ◽

Random Variable ◽

Point Of View ◽

Statistical Characteristics ◽

Kinematic Excitation ◽

Power Spectral ◽

The Individual

The longitudinal and transverse road profiles represent the functions of a random variable from a mathematical point of view. It is appropriate to use methods of probability theory and mathematical statistics for their description. The unevenness of the runway surface is the main source of the vehicle's kinematic excitation. This paper describes the statistical properties of the mapped road profiles. It shows a way of categorizing road surface quality based on the power spectral density of unevenness. The interrelationships between the individual points of the profile and the profiles with one another are evaluated by correlation functions.

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Crystalline perfection of an aluminium single crystal determined by neutron diffraction

Journal of Applied Crystallography ◽

10.1107/s0021889811023569 ◽

2011 ◽

Vol 44 (4) ◽

pp. 681-687

Author(s):

Sabrina Metairon ◽

Carlos Benedicto Ramos Parente ◽

Vera Lucia Mazzocchi ◽

Thierry Jacques Lemaire

Keyword(s):

Neutron Diffraction ◽

Single Crystal ◽

Relative Intensity ◽

Three Dimensional ◽

Point Of View ◽

Crystalline Perfection ◽

Contour Map ◽

The Individual ◽

Crystalline Domains

In this work, a study of the crystalline perfection of an aluminium single crystal is presented. The study shows that, from three-dimensional neutron diffraction rocking curves, it is possible to characterize the individual crystalline domains of a multidomain crystal. From a macroscopic point of view, the determination of the domains allows an evaluation of the crystalline perfection of the crystal under study. Three-dimensional rocking curves have been obtained by neutron diffraction from a large mosaic aluminium crystal. Construction of a contour map of individual domains made it easier to determine the breadth and relative intensity of each domain. The angular distances between domains were also determined.

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TRANSFORMATION OF CONSULTING VALUABLE ORIENTATIONS OF MODERN UKRAINIAN STUDENT

Educological discourse ◽

10.28925/2312-5829.2019.1-2.121 ◽

2019 ◽

Author(s):

Olexandr Horban ◽

Tetyana Kuprii ◽

Liudmyla Ovsiankina

Keyword(s):

Cultural Context ◽

Age Factors ◽

Value Orientations ◽

Point Of View ◽

Cultural Dimensions ◽

Instrumental Values ◽

Functional Point ◽

The Individual ◽

Psychological Features

The article deals with the problem of the dynamics of the manifestation of value orientations of modern Ukrainian students, the patterns of their occurrence and factors influencing their formation in the context of philosophical, sociological, ethical and cultural dimensions and cross-cultural comparative studies. The article focuses on the problem of the existence of modern youth, the formation of new ideological and humanistic values, and the search for basic principles of world attitude in the conditions of transformational changes in society as a whole. The process of integrative and social development of modern youth, which is accompanied the changes of hierarchical correlations of values and appearance of new, and also socially psychological features which show up on the different levels of valued-normative sphere of personality in a socio-cultural context under act of gender-age factors, is analysed. It is rotined that principles of organization, logician of functioning and processes which generate the individual and superindividual systems of values at all of likeness of common concepts have different nature and require different interpretations accordingly. Development of method of practical research of the individual and / either superindividual systems of values requires the constructions of operational determination of key categories which are utillized in research. From the functional point of view instrumental values activate as criteria, as standards of estimation during a choice only to modus (to the method) of conduct or actions, and a terminal is utillized an individual during the estimation of both aims of activity and possible methods of their achievement.

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Role Of Probability Biclassification In Accounting And Finance Random Variable Representations

Journal of Applied Business Research (JABR) ◽

10.19030/jabr.v28i1.6684 ◽

2011 ◽

Vol 28 (1) ◽

pp. 59

Author(s):

Charmaine Scrimnger-Christian ◽

Saratiel Wedzerai Musvoto

Keyword(s):

Random Variables ◽

Random Variable ◽

Financial Statements ◽

Font Size ◽

Deterministic Models ◽

Random Utility Theory ◽

Long Run ◽

Value Measurement

The concept of value in accounting has been generalized by various authors to a large variety of relations in both accounting and finance. For example, the basis for the preparation of the financial statements in accounting and the foundations for the determination of the return on a security in finance are based on the concept of value measurement. However, there are cases in which applications of the concept of value measurement breaks down, such as in predicting the long-run behavior of accounting and finance phenomena classified as random variables and in applying deterministic models to accounting and finance models. In this study, the principles of probability biclassification and random utility theory are used to rectify the shortcomings of generalizing the concept of value measurement to include activities to understand the long-run behavior of random variables. This study closes with a discussion on the compatibility of the intentionality structure of acts of knowledge in accounting and finance with statistical concepts on random variables.

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Random coverage of a circle with applications to a shadowing problem

Journal of Applied Probability ◽

10.1017/s0021900200037050 ◽

1982 ◽

Vol 19 (03) ◽

pp. 562-577 ◽

Cited By ~ 5

Author(s):

M. Yadin ◽

S. Zacks

Keyword(s):

Random Number ◽

Random Variable ◽

Point Of View ◽

Numerical Determination ◽

Coverage Problem ◽

Random Location

The coverage problem on the circle is considered from the shadowing process point of view. A random number of shadow arcs are distributed on a circle. The length of each arc is a random variable which depends on the random diameter of a shadowing disk and its random location. Formulae are derived for the numerical determination of the moments of the measure of vacancy of arcs on the circle, for a special example. An approximation to the distribution of the measure of vacancy is also provided.

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A storage process by semi-Markov input

Advances in Applied Probability ◽

10.2307/1426402 ◽

1975 ◽

Vol 7 (4) ◽

pp. 830-844 ◽

Cited By ~ 5

Author(s):

Lajos Takács

Keyword(s):

Recurrence Formula ◽

Random Variables ◽

Random Variable ◽

Discrete Random Variable ◽

Storage Process ◽

Markov Sequence ◽

Discrete Random Variables ◽

Matrix Factorisation

A sequence of random variables η0, η1, …, ηn, … is defined by the recurrence formula ηn = max (ηn–1 + ξn, 0) where η0 is a discrete random variable taking on non-negative integers only and ξ1, ξ2, … ξn, … is a semi-Markov sequence of discrete random variables taking on integers only. Define Δ as the smallest n = 1, 2, … for which ηn = 0. The random variable ηn can be interpreted as the content of a dam at time t = n(n = 0, 1, 2, …) and Δ as the time of first emptiness. This paper deals with the determination of the distributions of ηn and Δ by using the method of matrix factorisation.

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Methodical aspects of statistical modeling of two-dimensional systems of random variables

10.23939/cds2020.01.043 ◽

2020 ◽

Vol 1 (1) ◽

pp. 43-57

Author(s):

P. Kosobutskyy

Keyword(s):

Statistical Modeling ◽

Random Variables ◽

Practical Interest ◽

Statistical Processing ◽

Random Variable ◽

Point Of View ◽

Original Research ◽

Two Dimensional ◽

Random Data ◽

Statistical Regularities

According to the analysis of literature sources, the statistical processing of measurement results is not always given due attention. Unfortunately, appropriate algorithms are often limited to simplified statistical procedures, without the proper justification of the objective function, including to check the quality of processing of random data. Therefore, the author plans to publish a series of articles on statistical modeling, which will include the results of original research by the author and others. In this article are considered the methodological aspects of statistical modeling of two-dimensional systems with random data, physical substantiation of correlation regularities of statistical relations between random variables is given, since or the problem of establishing the law of distribution of random variable has practical interest from the point of view of modeling statistical regularities of model "signal + noise".

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