In our previous publications (IJTAF 2019, Math. Finance 2020), we introduced a general class of SINH-regular processes and demonstrated that efficient numerical methods for the evaluation Wiener-Hopf factors various probability distributions (prices options several types) in L\'evy models can be developed using only few properties characteristic exponent $\psi$. Essentially all popular enjoy th...

In the Vanity of the Philosopher, Sandra Peart and David Levy reconsider “postclassical” economics from the vantage point of Adam Smith’s “analytical” egalitarianism. Analytical egalitarianism is assumed, not proved; and Peart and Levy’s criticisms of many 19and early 20-century economists, as well as eugenics in general, depend on equivocating between analytical and substantive egalitarianism....

Bifurcation analysis has many applications in different scientific fields, such as electronics, biology, ecology, and economics. In population deterministic methods of bifurcation are commonly used. contrast, stochastic techniques infrequently employed. Here we establish P-bifurcation behavior (i) a growth model with state-dependent birth rate constant death rate, (ii) logistic carrying capacit...

In this paper we model the daily average temperature via an extended version of the standard Ornstein Uhlenbeck process driven by a Levy noise with seasonally adjusted asymmetric ARCH process for volatility. More precisely, we model the disturbances with the Normal inverse Gaussian (NIG) and Variance gamma (VG) distribution. Besides modelling the residuals we also compare the prices of January ...

Estimating the parameters of probabilistic models of language such as maxent models and probabilistic neural models is computationally difficult since it involves evaluating partition functions by summing over an entire vocabulary, which may be millions of word types in size. Two closely related strategies—noise contrastive estimation (Mnih and Teh, 2012; Mnih and Kavukcuoglu, 2013; Vaswani et ...