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An Approach to Wealth Modelling

Stoynov, Pavel — 2003

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 60G48, 60G20, 60G15, 60G17. JEL Classification: G10 The change in the wealth of a market agent (an investor, a company, a bank etc.) in an economy is a popular topic in finance. In this paper, we propose a general stochastic model describing the wealth process and give some of its properties and special cases. A result regarding the probability of default within the framework of the model is also offered.

Mixed Negative Binomial Distribution by Weighted Gamma Mixing Distribution Смесено отрицателно биномно разпределение с претеглено гама смесващо разпределение

Stoynov, Pavel — 2011

Union of Bulgarian Mathematicians

Павел Т. Стойнов - В тази работа се разглежда отрицателно биномното разпределение, известно още като разпределение на Пойа. Предполагаме, че смесващото разпределение е претеглено гама разпределение. Изведени са вероятностите в някои частни случаи. Дадени са рекурентните формули на Панжер. In this paper the mixed negative binomial distribution, known also as P´olya distribution is considered. We suppose that the mixing distribution is a weighted Gamma distribution. We derive the probability...

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