A Probability Scoring Rule for Simultaneous Events

2019 ◽  
Vol 16 (4) ◽  
pp. 301-313
Author(s):  
Andrew Grant ◽  
David Johnstone ◽  
Oh Kang Kwon

We develop a scoring rule tailored to a decision maker who makes simultaneous bets on events that occur at times that require bets to be placed together. The rule proposed captures the economic benefit to a well-defined bettor who acts on one set of probabilities p against a baseline or rival set q. To allow for simultaneous bets, we assume a myopic power utility function with a risk aversion parameter tailored to suit the given user or application. Our score function is “proper” in the usual sense of motivating honesty. Apart from a special case of power utility, namely, log utility, the score is not “local,” which we excuse because a local scoring rule cannot capture the economic result that our score reflects. An interesting property of our rule is that the individual scores from individual events are multiplicative, rather than additive. Probability scores are often added to give a measure of aggregate performance over a set of trials. Our rule is unique in that scores must be multiplied to reach a meaningful aggregate.

1979 ◽  
Vol 44 (7) ◽  
pp. 2064-2078 ◽  
Author(s):  
Blahoslav Sedláček ◽  
Břetislav Verner ◽  
Miroslav Bárta ◽  
Karel Zimmermann

Basic scattering functions were used in a novel calculation of the turbidity ratios for particles having the relative refractive index m = 1.001, 1.005 (0.005) 1.315 and the size α = 0.05 (0.05) 6.00 (0.10) 15.00 (0.50) 70.00 (1.00) 100, where α = πL/λ, L is the diameter of the spherical particle, λ = Λ/μ1 is the wavelength of light in a medium with the refractive index μ1 and Λ is the wavelength of light in vacuo. The data are tabulated for the wavelength λ = 546.1/μw = 409.357 nm, where μw is the refractive index of water. A procedure has been suggested how to extend the applicability of Tables to various refractive indices of the medium and to various turbidity ratios τa/τb obtained with the individual pairs of wavelengths λa and λb. The selection of these pairs is bound to the sequence condition λa = λ0χa and λb = λ0χb, in which b-a = δ = 1, 2, 3; a = -2, -1, 0, 1, 2, ..., b = a + δ = -1, 0, 1, 2, ...; λ0 = λa=0 = 326.675 nm; χ = 546.1 : 435.8 = 1.2531 is the quotient of the given sequence.


Author(s):  
Khalid K. Ali ◽  
Mohamed A. Abd El salam ◽  
Emad M. H. Mohamed

AbstractIn this paper, a numerical technique for a general form of nonlinear fractional-order differential equations with a linear functional argument using Chebyshev series is presented. The proposed equation with its linear functional argument represents a general form of delay and advanced nonlinear fractional-order differential equations. The spectral collocation method is extended to study this problem as a discretization scheme, where the fractional derivatives are defined in the Caputo sense. The collocation method transforms the given equation and conditions to algebraic nonlinear systems of equations with unknown Chebyshev coefficients. Additionally, we present a general form of the operational matrix for derivatives. A general form of the operational matrix to derivatives includes the fractional-order derivatives and the operational matrix of an ordinary derivative as a special case. To the best of our knowledge, there is no other work discussed this point. Numerical examples are given, and the obtained results show that the proposed method is very effective and convenient.


2015 ◽  
Vol 4 ◽  
pp. 18-25
Author(s):  
Dipendra Kumar Khatri

This article summarizes the study conducted to find out the effectiveness of guided writing in teaching composition. Fifty-two students of grade nine studying at Khelnechour Secondary School, Surkhet were the sample population of this research. The researcher requested one of the teachers to involve in the practical teaching for carrying out the research. The tests (pre-test and post test) were the major tools for data collection. The students were ranked from the first to the fifty-second position based on the results of the pre-test. They were divided into two groups based on odd-even ranking of the individual scores. Then, experimental group was taught through guided writing activities whereas controlled group was taught without guided writing activities. Each groups attended thirty lessons. Then the post-test was administered. The results of these two tests (Pre and Post) were compared and found that guided writing activities were more effective in teaching composition. Journal of NELTA Surkhet Vol.4 2014: 18-25


2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Xinru Liu ◽  
Yuanpeng Zhu ◽  
Shengjun Liu

A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively.


2017 ◽  
Vol 7 (1.1) ◽  
pp. 213
Author(s):  
Sheela Rani ◽  
Vuyyuru Tejaswi ◽  
Bonthu Rohitha ◽  
Bhimavarapu Akhil

Recognition of face has been turned out to be the most important and interesting area in research. A face recognition framework is a PC application that is apt for recognizing or confirming the presence of human face from a computerized picture, from the video frames etc. One of the approaches to do this is by matching the chosen facial features with the pictures in the database. It is normally utilized as a part of security frameworks and can be implemented in different biometrics, for example, unique finger impression or eye iris acknowledgment frameworks. A picture is a mix of edges. The curved line potions where the brightness of the image change intensely are known as edges. We utilize a similar idea in the field of face-detection, the force of facial colours are utilized as a consistent value. Face recognition includes examination of a picture with a database of stored faces keeping in mind the end goal to recognize the individual in the given input picture. The entire procedure covers in three phases face detection, feature extraction and recognition and different strategies are required according to the specified requirements.


2015 ◽  
Vol 7 (11) ◽  
pp. 94
Author(s):  
Chun-Chang Lee ◽  
Cheng-Huang Tung ◽  
Yu-Heng Lee ◽  
Shu-Man You

<p>This study explores the factors that affect the incomes of real estate salespersons by applying hierarchical linear modeling (HLM) to investigate the incomes of real estate salespersons in Kaohsiung. A total of 510 questionnaires were distributed to large chain housing agencies, of which a total of 319 effective samples were retrieved from 54 branch stores, for an effective return rate of 62.55%. The empirical results showed that individual incomes vary significantly from store to store. About 4.8% of the variation in individual incomes was due to differences among different branch stores. The individual income of a real estate salesperson is also significantly affected by individual-level factors such as age, working hours, and working experience. The marginal impact of education level, age, working hours, and working experience on real estate salesperson income is moderated by the type of store at which the given salesperson works. In addition, a branch store’s location has a direct, significant, and positive impact on a real estate salesperson’s income.</p>


Author(s):  
Robert Hebner

The growing globalization of industry is stimulating a growing emphasis on international standards. Standards are important because they provide significant economic benefit. They are also costly and much of the benefit is broad-based, i.e. it does not accrue preferentially to those who incur the cost. Finally, there is a highly disaggregated international standards system and at least two very different basic philosophies as to how standard systems should operate. The effect of the individual cost-benefit analysis by organizations may produce a hybrid system that produces both global standards in which each country participates in the development as well as less costly technical and consortium standards.


2012 ◽  
Vol 3 (1) ◽  
pp. 81-90
Author(s):  
Elizabeta Mitreva

The education of the employees in each instance of a company comes along with a purpose to gain competence and experience in order to realize every business process according to the demands of the products/services, the legal obligation as well as the criteria of competitiveness. Furthermore, it is directly conjoined with the very act of foundation setting of the employees’ requests with a unique intention - to achieve quality, stressing the vital need to affiliate everyone in their own field. This analysis presents the research inputs which are being given in order to get a clear picture whether the Macedonian companies are eager to learn and stimulate both the individual and the collective learning in order to improve the results in general. According to the given results in the research, it is stated that the Macedonian companies do not pay much attention to quality. They are insufficiently concerned with the continuous education, which is evident in the small investments they make in regard to the innovations. Hence, the quality system has been built in a very small number of companies. The following model presented in this elaborate has been suggested for a more successful designing and implementation of the educational system as a subsystem of the house of quality. This methodology is integral and has a universal notion which is applicable to all types of companies and institutions as well. Without a conducted training about TQM (Total Quality Management) philosophy and a continued education provided firstly for the managers and further on for all of the employees, the TQM strategy could not be implemented in a satisfactory manner. Also, the benefits that come along with the quality system could not be visible as a result. Key words: educational subsystem, leadership, methodology, quality system, TQM strategy.


2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Filip Lorenz ◽  
Vit Janos ◽  
Dusan Teichmann ◽  
Michal Dorda

The article addresses creation of a mathematical model for a real problem regarding time coordination of periodic train connections operated on single-track lines. The individual train connections are dispatched with a predefined tact, and their arrivals at and departures to predefined railway stations (transfer nodes) need to be coordinated one another. In addition, because the train connections are operated on single-track lines, trains that pass each other in a predefined railway stations must be also coordinated. To optimize the process, mathematical programming methods are used. The presented article includes a mathematical model of the given task, and the proposed model is tested with real data. The calculation experiments were implemented using optimization software Xpress-IVE.


The concept of the individual erotic code of personality as one of the main determinants of the psychology of sexuality is analyzed in the article. The motives, aim and regulator of the given structure forming are found out. The peculiarities that influence on the changing of individual erotic code during the life are described. Such terms as «sexual archetype», «sexual scenario» and «individual erotic code»are differentiated. The plan of the psychotherapeutically session with the marriage couple while changing the individual erotic code of the couple or one of the spouse is characterized.


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