We prove that the standard conditions that provide unique solvability of a mixed stochastic differential equations also guarantee that its solution possesses finite moments. We also present conditions supplying existence of exponential moments. For a special equation whose coefficients do not satisfy the linear growth condition, we find conditions for integrability of its solution. Keywors. Mix...

Kinetic analyses for LD have been performed by use of a centrifugal analyzer. These analyses were performed on clinical control sera and human sera at 340 nm and 30#{176}C. Evaluation of the data with both linear and nonlinear equations demonstrates that the exponential equation (y = C Ac5) gives a lower value for “root mean square” (better fit) for the activity at high levels than does the lin...

This article considers the problem of evaluating infinite-time (or finite-time) ruin probability under a given compound Poisson surplus process by approximating the claim size distribution by a finite mixture exponential, say Hyperexponential, distribution. It restates the infinite-time (or finite-time) ruin probability as a solvable ordinary differential equation (or a partial differential equ...

Levy and Levy (Management Science 2002) present data that, according to their claims, violate prospect theory. They suggest that prospect theory’s hypothesis of an S-shaped value function, concave for gains and convex for losses, is incorrect. However, all the data of Levy and Levy are perfectly consistent with the predictions of prospect theory, as can be verified by simply applying prospect t...

15. Olive, C., Geroch, M. E. & Levy, H. R. ( 197 1 ) J. Biol. Chem. 246,2047-2057 Levy, H. R. & Daouk, G. H. (1979) J. Biol. Chem. 254, 4843-4847 Grove, T. H., Ishaque, A. & Levy, H. R. ( I 976) Arch. Biochem. Biophys. 177,307-316 Levy, H. R., Christoff, M., Ingulli, J. & Ho, E. M. L. ( 1 983) Arch. Biochem. Biophys. 222,473-488 Levy, H. R.. Daouk, G. H. & Katopes, M. A. (1979) Arch. Riochem. B...

While the exponential learning equation, indicating a gradually diminishing improvement, is one of the standard equations to describe learning, a sigmoid behavior with initially increasing then decreasing improvement has also been suggested. Herewe show that the sigmoid behavior ismathematically derived from the standard exponential equation when the independent variable of the equation is rest...

This paper discusses new simulation algorithms for stochastic chemical kinetics that exploit the linearity of the chemical master equation and its matrix exponential exact solution. These algorithms make use of various approximations of the matrix exponential to evolve probability densities in time. A sampling of the approximate solutions of the chemical master equation is used to derive accele...

An analysis of regeneration by dilution of a covalently modified protein is presented. It is shown that, when protein regeneration is realized through the intermediacy of a protein-modifying agent adsorptive complex, the reaction is described by a summation of two exponential functions of reaction time plus a constant-term equation. The conditions whereby this equation reduces to a single-expon...