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Introducing Geometrical Probability In 11Th Grade
In: Pedagogika: naučno spisanie = Pedagogy : Bulgarian journal of educational research and practice
ISSN: 1314-8540
В статията са представени идеи за връзка между класическа и геометрична вероятност, които биха могли да подпомогнат преподавателите при операционализирането на учебната програма за общообразователна подготовка в ХІ клас. Най-общо казано, стохастично явление с безкрайно (неизброимо) много равновъзможни изходи се разлага на крайно обединение от равновероятни изходи. За това обединение е приложим моделът на класическата вероятност. Предимствата на такава методика са в по-добрата мотивация за въвеждане на новото понятие геометрична вероятност. Засегнати са и философски проблеми относно връзката между континуум и дискретна структура, които за целевата група носят мирогледно послание. Включени са примери от състезателните теми на турнира "Черноризец Храбър".
SSRN
Working paper
Mathematics at the Roots of Network-Centric Operations
In: Voennaja mysl': voenno-teoretičeskij žurnal ; organ Ministerstva Oborony Rossijskoj Federacii, Band 22, Heft 1, S. 110-117
ISSN: 0236-2058
SSRN
Teaching Probability with Graphic Calculator Instructional Approach
In: The journal of developing areas, Band 49, Heft 5, S. 11-23
ISSN: 1548-2278
Positive effects have been reported when graphic calculator (GC) is used in Mathematics classrooms as it influences the way Mathematics is taught and learned. This study aims to examine the effects of GC instructional approach on students' Probability performance, particularly for students with different levels of Mathematics performance. Two groups of students were involved in this study; Group A adopted the GC instructional approach while group B used the conventional teaching approach. Students from different Mathematics performance levels, particularly the low-performing students, gained benefits when the GC instructional approach was adopted in learning Probability.
The necessity of multi-disciplinary scholarship for finance: On Ayache and Roffe
In: Finance and society, Band 2, Heft 2, S. 189-204
ISSN: 2059-5999
AbstractAyache presents a view of markets and mathematics that attempts to conform to the philosophies of Alain Badiou and Quentin Meillassoux. However, this attempt is unsuccessful because Ayache adopts a view of probability rooted in nineteenth-century conceptions that cannot accommodate the radical uncertainty of the markets. This is unfortunate as it is reasonable to believe that the ideas of Badiou and Meillassoux, when synthesised with contemporary ideas of probability, could offer interesting insights. Roffe presents a better argued synthesis of Deleuze and markets, however he makes similar assumptions about contemporary probability that undermine his conclusions.
New version of generalized Ostrowski-Gruss type inequality
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 66, Heft 3, S. 441-455
ISSN: 2065-961X
"Ostrowski inequality is one of the celebrated inequalities in Mathematics.
The main purpose of our study is to generalize the result of Ostrowski-Gruss
type inequality for first differentiable mappings and apply it to probability density
functions, composite quadrature rules and special means."
Sufficient conditions of boundedness of L-index and analog of Hayman's Theorem for analytic functions in a ball
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 63, Heft 4, S. 483-501
ISSN: 2065-961X
Statystyka jako jedna z nauk realnych
In: Wiadomości statystyczne / Glówny Urza̜d Statystyczny, Polskie Towarzystwo Statystyczne: czasopismo Głównego Urze̜du Statystycznego i Polskiego Towarzystwa = The Polish statistician, Band 2014, Heft 2, S. 36-39
ISSN: 2543-8476
The author discusses the views expressed by Julian Daszkowski in the article "On rhetorical and non logical aspects of applied statistics". Without undermining the fundamental goal of reflection for it to philosophical dilemmas of science statistics, the inconsistencies in theoretical considerations were stressed by the author of polemics. He especially emphasizes the importance of mathematics and of probability for statistical surveys.
Why Risk Is Not Variance: An Expository Note
In: Risk analysis: an international journal, Band 28, Heft 4, S. 925-928
ISSN: 1539-6924
Variance (or standard deviation) of return is widely used as a measure of risk in financial investment risk analysis applications, where mean‐variance analysis is applied to calculate efficient frontiers and undominated portfolios. Why, then, do health, safety, and environmental (HS&E) and reliability engineering risk analysts insist on defining risk more flexibly, as being determined by probabilities and consequences, rather than simply by variances? This note suggests an answer by providing a simple proof that mean‐variance decision making violates the principle that a rational decisionmaker should prefer higher to lower probabilities of receiving a fixed gain, all else being equal. Indeed, simply hypothesizing a continuous increasing indifference curve for mean‐variance combinations at the origin is enough to imply that a decisionmaker must find unacceptable some prospects that offer a positive probability of gain and zero probability of loss. Unlike some previous analyses of limitations of variance as a risk metric, this expository note uses only simple mathematics and does not require the additional framework of von Neumann Morgenstern utility theory.
Postsecondary preparation and remediation: Examining the effect of the early assessment program at California State University
In: Journal of policy analysis and management: the journal of the Association for Public Policy Analysis and Management, Band 29, Heft 4
ISSN: 0276-8739
In this paper, the authors investigate how participation in the Early Assessment Program (EAP), which provides California high school juniors with information about their academic readiness for college-level work at California State University campuses, affects their college-going behavior and need for remediation in college. Using administrative records from California State University-Sacramento and the California Department of Education, the authors find that participation in the Early Assessment Program reduces the average student's probability of needing remediation at California State University by 6.1 percentage points in English and 4.1 percentage points in mathematics. Rather than discouraging poorly prepared students from applying to Sacramento State, EAP appears to lead students to increase their academic preparation while still in high school. [Copyright John Wiley and Sons, Ltd.]
Decision theory and real estate investment
In: Journal of Property Valuation and Investment, Band 15, Heft 3, S. 226-232
Explains that the focus of decision theory is on
the mathematical models. These may be probability based; loss functions or other forms of
statistical representations of judgements. Yet, much of decision theory does not lie entirely
within any one discipline: it draws on psychology, economics, mathematics, statistics, social
sciences and many other areas of study. Investigates investors' perceptions and attitudes
towards real estate. Highlights the important difference between theoretical exposure levels and
pragmatic business considerations. Suggests a prescriptive model to explore judgements, beliefs and
preferences of decision makers and to inform decision making. Examines the concept of risk and its
place in developing a prescriptive model. Maintains that a decision must be judged on factors other
than the risk of a single outcome.