Search results for "stochastic"
showing 10 items of 1018 documents
Stochastic Control Problems
2003
The general theory of stochastic processes originated in the fundamental works of A. N. Kolmogorov and A. Ya. Khincin at the beginning of the 1930s. Kolmogorov, 1938 gave a systematic and rigorous construction of the theory of stochastic processes without aftereffects or, as it is customary to say nowadays, Markov processes. In a number of works, Khincin created the principles of the theory of so-called stationary processes.
A class of stochastic differential equations with non-Lipschitzian coefficients: pathwise uniqueness and no explosion
2003
Abstract A new result for the pathwise uniqueness of solutions of stochastic differential equations with non-Lipschitzian coefficients is established. Furthermore, we prove that the solution has no explosion under the growth ξlogξ. To cite this article: S. Fang, T. Zhang, C. R. Acad. Sci. Paris, Ser. I 337 (2003).
What is Differential Stochastic Calculus?
1999
Some well known concepts of stochastic differential calculus of non linear systems corrupted by parametric normal white noise are here outlined. Ito and Stratonovich integrals concepts as well as Ito differential rule are discussed. Applications to the statistics of the response of some linear and non linear systems is also presented.
Ito and Stratonovich integrals for delta-correlated processes
1993
Abstract In this paper the generalization of the Itd and Stratonovich integrals for the case of non-linear systems excited by parametric delta-correlated processes is presented. This generalization gives a new light on the corrective coefficients in the stochastic differential equations driven by parametric delta-correlated processes. The full significance of these corrective terms is evidenced by means of some examples.
Stochastic Differential Calculus
1993
In many cases of engineering interest it has become quite common to use stochastic processes to model loadings resulting from earthquake, turbulent winds or ocean waves. In these circumstances the structural response needs to be adequately described in a probabilistic sense, by evaluating the cumulants or the moments of any order of the response (see e.g. [1, 2]). In particular, for linear systems excited by normal input, the response process is normal too and the moments or the cumulants up to the second order fully characterize the probability density function of both input and output processes. Many practical problems involve processes which are approximately normal and the effect of the…
Stability under influence of noise with regulated periodicity
2009
A very simple stochastic differential equation with quasi‐periodical multiplicative noise is investigated analytically. For fixed noise intensity the system can be stable at high noise periodicity and unstable at low noise periodicity.
A Top-Down Method for Long-Term Investing
2021
This paper bases long-term investing on a tradeable stochastic discount factor (SDF), relates it to the growth optimal portfolio and argues for a top-down method, where modeling efforts are directed at capturing its long-run dynamics in a generalized setting. This differs from the common, cumbersome bottom-up method of modeling many risky securities in the marketplace. Various optimal portfolio strategies can be implemented efficiently using fractional expectations of the SDF. This paper illustrates empirically for the US stock market that the proposed method leads to higher wealth, higher returns on investment and higher long-term utility levels.
Innovation efficiency: a bibliometric review and future research agenda
2021
Innovation efficiency has become a phenomenon of global interest. This paper reviews 165 articles from academic journals of innovation efficiency, applies the data-driven text mining approach to ma...
Agricultural and Biotechnology Patents as an Adaptation Strategy to Climate Change: A Regional Analysis of European Farmer’s Efficiency
2022
This chapter analyses the effect of innovation encouraged by climate change challenges on European farmers’ technical efficiency. Using the stochastic frontier approach, we estimate the impact of agri-cultural patents on farmers’ technical efficiency by taking into account both unobservable heterogeneity and heteroscedasticity in the inefficiency term. Our findings suggest that European farmers remain quite far from the maximum frontier and irrespective of the country in which they reside; farmers who innovate are more efficient than those who do not. Thus, the inefficiency of agricultural agents in the European context leaves space for policies that incentivise firms to adopt climate chang…
Does cutting back the public sector improve efficiency? Some evidence from 15 European countries
2013
The successful development of the welfare state that transpired for three decades after WWII in the developed countries, came to a halt around the end of the 1980s. Since then, the number of articles and books dedicated to the crisis of the welfare state has increased. We can now assert that at the turn of the century, almost all industrialized countries had cut at least “some” entitlements in their welfare program along with other expenditure items, and the trend continued in the first decade of this century. To defend the cuts and possibly to justify continuing cuts, several economic reasons, both theoretical and empirical, have been highlighted. From mention of Baumol’s disease to the fi…