scholarly journals Markov chains and the determination of fair premiums

1967 ◽  
Vol 4 (3) ◽  
pp. 265-268 ◽  
Author(s):  
Stefan Vajda

The relationships between actuarial and pure mathematics are curious. Actuaries have contributed to the development of mathematical theory: it is sufficient to mention, as examples, Fredholm of an earlier, and Cramér of a more recent generation. Scandinavian mathematicians, in particular, have been concerned with a very special type of stochastic process, reflected in the collective theory of risk, and the work of Philipson, Ammeter and others in this field is well known to readers of this Bulletin. However, the main stream of the theory of stochastic processes has little contact with actuarial applications.On the other hand, many actuaries have studied and assimilated pure mathematics and have thrown light on actuarial matters by describing their own preoccupations in the terminology of modern, often abstract, mathematics. E. Franckx is one of their number.The Instituto di Matematica Finanziaria of the University of Trieste (Faculty of Economics and Commerce) has published a booklet entitledEssai d'une théorie opérationnelle des risques Markoviens which contains three lectures delivered by Professor Franckx in Trieste and a contribution which he presented to the 17th Congress of Actuaries, held in London in 1964.

2007 ◽  
Vol 2007 ◽  
pp. 1-5 ◽  
Author(s):  
Chunsheng Ma

This paper is concerned with a class of stochastic processes or random fields with second-order increments, whose variograms have a particular form, among which stochastic processes having orthogonal increments on the real line form an important subclass. A natural issue, how big this subclass is, has not been explicitly addressed in the literature. As a solution, this paper characterizes a stochastic process having orthogonal increments on the real line in terms of its variogram or its construction. Our findings are a little bit surprising: this subclass is big in terms of the variogram, and on the other hand, it is relatively “small” according to a simple construction. In particular, every such process with Gaussian increments can be simply constructed from Brownian motion. Using the characterizations we obtain a series expansion of the stochastic process with orthogonal increments.


2021 ◽  
Vol 8 (12) ◽  
pp. 374-377
Author(s):  
Prapattra Hongwisat ◽  
Thanawat Wuthikanokkan ◽  
Nathakan Preechakansakul

Covid-19 are one of the viruses that were widely spreaded in 2019 and are still separate until nowadays. Thailand is one of the countries that are highly infected. The majority of people who are infected with this virus tend to have mild to severe respiratory symptoms. Furthermore, anyone can get sick, and it can lead to death. However, the most common symptoms of this virus are fever, cough, tiredness, and loss of taste or smell, on the other hand, characteristics in a minority of people, such as diarrhea and headaches. Due to the impact of the Covid-19 virus, people have to change their lifestyle to the online form. These changes have impacted mostly on economics and education in particular countries, so this problem also affects anxiety among high school students; who must prepare to apply to the university during the COVID-19 outbreak. In addition, we have collected 151 answers from high school students by surveying in order to know the feelings for entrance to the university during the pandemic situation. We found out that 81.3% of the students are highly affected by covid, and only 0.7% of students are slightly affected. We also found out that 55% of the students are worried about university entrance, and only 2.6% of the students were not worried at all. According to the result, most of the students in Thailand are facing the problem about their education and their entrance for the university which are caused by Covid-19. This may lead to illnesses like depression and anxiety. Keywords: Students, Learning, COVID-19, Thailand, University.


2004 ◽  
Vol 1 (1) ◽  
pp. 110-115
Author(s):  
Baghdad Science Journal

We found that 4,5- diphenyl- 3(2- propynyl) thio- 1??-triazole [1? forms a complex with Pd (11) ion of ratio 1:1 which absorbs light in CH2CI2 at 400 nm, and 4,5- diphenyl- 3(2- propenyl) thio- 1,2,4- triazole [II] forms complexes with Pd (II) ion of ratio 1:1 which absorbs light at 390 nm, and of ratio 2:1 which absorbs light at 435 nm. On the other hand, we found that the new derivative 4- phenyl- 5( p- amino phenyl) -3- mercapto- 1,2,4- triazole ?111? forms complexes with Cu (II) ion of the ratio 1:1 which absorbs light at 380 nm, with Ni (II) ion of the ratio 3:1 which absorbs light at 358 nm; and with Co (11) ion of the ratio 3.2:1 which absorbs light at 588 nm. The ratio of the complexes were determined by measuring the electronic spectra of the complexes in CH2G2 and (CH^NCHO at different concentrations ofthe ligands and f?xed ' •' of the metal ion in every case, then applying the molar ratio plots on the data. Our results were confirmed by precipitating most ofthe above complexes in solid state, and then each complex was analyzed elementally.


Author(s):  
Vladimír Gryc ◽  
Petr Horáček

The paper was aimed at the determination of variability of horizontal resin canal dimension in spruce wood in relation to the position in a spruce stem. Significant changes of dimensions in horizontal resin canal along the stem length and radius were found. On the basis obtained of results 3D models (for CW, OW, SWL and SWP zones) describing changes in resin canal dimensions in spruce in relation to the position in a stem were created. In the models, the resin canal dimension decreases with the height of a stem and on the other hand, with an increasing distance from the stem pith the dimension of resin canal increases. The importance of the paper consists in the enlargement of findings about the structure of spruce with compression wood.


2019 ◽  
Author(s):  
Philip Freytag

This work undertakes a systematic reconstruction of the debates that took place over the course of several decades up to the beginning of the 21st century between Derrida on the one hand and Searle and Habermas on the other. It shows that the linguistic theories and the theories of communicative understanding developed by Searle and Habermas are based on inferences from the contingent individual case to the general. Searle draws ontological, Habermas anthropo-political conclusions, both with essentially naturalistic signatures. Derrida, on the other hand, raises epistemological objections and consequently develops a metaphysics of free subjects for whom conversation cannot necessarlily be presumed. The explicit dedication to ethics in Derrida's late work is due to his insight that the possibility of language and understanding is due to silence. Derrida's lasting merit lies in enriching the philosophy of language with a secretology. This study has been awarded the Kant Prize of the Institute of Philosophy of the University of Bonn and the "Prix de la République Française", awarded by the French Embassy and the University of Bonn.


2021 ◽  
Author(s):  
Jelena Lukić ◽  

The aim of this paperis to determine the quality of TV classes World around us and Nature and Social Science,which were broadcasted on Radio Television of Serbia during the pandemic in the school year 2019/20. Although the work was indirect, so the immediate interaction between the teacher and student is missed. Therefore, teacher's questions were the way of establishing some kind of interaction in such classes organized in this manner. For this reason, we wanted to establish the types of questions that teachers were asking to students through small screens. Considering that the achievements of learning are based on Bloom's Taxonomy, we were analyzing sixteen TV classes and classified the questions the teachers asked according to cognitive area, on six educational levels. The results indicate that the most common were question within lower cognitive levels were (knowledge, understanding and application), and that there are no statistically significant differences in cognitive levels on questions asked between lower (1st and 2nd grade) and higher grades (3rd and 4th grade), on the other hand, on the classes of determination of educational content teachers were asking statistically significant quality questions compared to the classes of interpretation.


2019 ◽  
Vol 50 (8) ◽  
pp. 787-808
Author(s):  
Delali Amuzu

Contemporary higher education in Ghana and many parts of Africa has European colonial antecedents. In spite of the many goals that it aspired to achieve, a preoccupation was to nurture an elite group. Though widely used, the concept of elite and elitism is vague and hardly conceptualized. It hoovers from status—occupants of the apex or top echelons of an organization/society, to consumption—people with immense wealth. Influence, on the other hand, seems to be a common denominator in both cases. But, does this capture the scope of the phenomenon? This article engages people who have worked in different capacities in Ghana’s higher education space to examine the deeper meanings that could be embedded in elitism, elicits conceptualizations of elitism, and further finds out how elitist higher education is in Ghana. Ultimately, the article intends to initiate a conversation on whether indeed there are elites being produced from the university system. This study was done with reference to an empirical study on decolonizing higher education in Ghana.


2017 ◽  
Vol 99 (1) ◽  
Author(s):  
Matias Slavov

Abstract:Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they are not intuitive or demonstratively certain, but probable or provable. In this article, I argue that the epistemic status of propositions of mixed mathematics is that of matters of fact. I wish to show that their epistemic status is not a mystery. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle, unlike the propositions of pure mathematics.


1973 ◽  
Vol 22 (1) ◽  
pp. 91-98 ◽  
Author(s):  
Heloisa F. Peña ◽  
F.M. Salzano ◽  
Sidia M. Callegari

SummaryThe degree of genetic determination of 4 digital and 16 palmar characteristics was investigated in an unselected series of 49 MZ and 51 DZ adult twins. Low indications of heritability were obtained for the qualitative traits, but 6 of the 8 h2 estimates calculated for the quantitative measurements gave values above 0.70. In general, the results reported here are in agreement with those presented by other authors; however, the correlation coefficients observed for the A′d ridge count were lower than those of two other series. All palmar ridge counts seemed to be intercorrelated in a given individual; other expected relationships, however, were not observed. The fingerprints of MZ and DZ twins on the other hand, showed an unexplained difference.


1987 ◽  
Vol 54 (5) ◽  
pp. 263-267 ◽  
Author(s):  
Helen Polatajko ◽  
Marilyn Ernest ◽  
Joyce MacKinnon

Fieldwork placement is a complicated and involved task. On the one hand, it requires insightful, professional judgement, but on the other hand, it includes numerous routine administrative and clerical tasks. To deal with fieldwork placement more efficiently and effectively it was decided to computerize the fieldwork placement system at the University of Western Ontario, London, Ontario. This paper describes the system developed and the resultant data base. The potential applications of the data base and the implications for students, facilities, educational programs, professional governing bodies and research are discussed.


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