Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\{W_m\}{_{m\ge 1}}$$</EquationSource> </InlineEquation> be the sequence of weak records from a discrete parent random variable, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>, supported on the non-negative integers. We obtain a new characterization of geometric distributions based on an additive property of weak records: <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> follows a geometric...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

Ιt is known that mere knowledge of the conditional distribution of two random variables is not sufficient to specify uniquely the marginal distributions. Some additional information is necessary. This is usually provided in some form of independence between functions of the two random variables...

In this paper, a general model is provided to evaluate a stock when the dividend growth rate is a discrete variable. This new dividend valuation model assumes that the dividend growth rate follows a finite state discrete time semi-Markov chain. An important consequence is that prices become...

The use of equations to describe agent-based model dynamics allows access to mathematical theory that is not otherwise available. In particular, equation models can be effective at solving optimization problems—that is, problems concerning how an agent-based model can be most effectively...

Рассмотрена проблема большого числа локальных экстремумов, возникающих при использовании "прямых" методов идентификации параметров линейных динамических...

In the growth literature, evidence on income convergence is mixed. In the development literature, health and education indicators are also often used. This study examines whether health and education levels are converging across countries and calculates their convergence speed, using data from...