This paper extends the classical Samuelson multiplier-accelerator model for national economy. Actually, this new modeling structure removes the basic shortcoming of the original model producing stable business cycles when realistic values of the parameters (multiplier, accelerator) are entered...

In this paper, we revisit the famous classical Samuelson's multiplier-accelerator model for national economy. We reform this model into a singular discrete time system and study its solutions. The advantage of this study gives a better understanding of the structure of the model and more deep...

1. Introduction to R -- 2. Linear Algebra -- 3. Functions of one variable -- 4. Dierential Calculus -- 5. Integral Calculus -- 6. Multivariable Calculus -- 7. Constrained Optimization -- 8. Trigonometry -- 9. Complex numbers -- 10. Difference equations -- 11. Differential equations.

The modern Condorcet jury theorem states that under weak conditions, when voters have common interests, then elections will aggregate information when the population is large, in any responsive and symmetric equilibrium. Here, we study the performance of large elections with population...

The modern Condorcet jury theorem states that under weak conditions, when voters have common interests, elections will aggregate information when the population is large, in any equilibrium. Here, we study the performance of large elections with population uncertainty. We find that the modern...

In this paper, the geometric distribution parameter is estimated under a type-I censoring scheme by means of the Bayesian estimation approach. The Beta and Kumaraswamy informative priors, as well as five loss functions are used for this purpose. Expressions of Bayes estimators and Bayes risks...