Abstract. In this paper, we propose to study a generalized form of the exponential power distribution which contains others in the literature as special cases. This unifying exponential power distribution is characterized by a parameter ω and a function h(ω) which regulates the tail behavior of the distribution, thus making it more flexible and suitable for modeling than the usual normal di...

We show that auctions can generate near optimal total expected revenue by not using optimal reserve prices. Suppose we have n = 1 bidders in a posted-price, sealed-bid auction. This bidder has type v i drawn from distribution F. We can describe what the expected revenue is with a functionˆR : T → R: ˆ R(p) = p(1 − F(p)). (1) Figures 1 and 2 show expected revenue functions for the exponential di...

Gap-acceptance capacity models apply to the analysis of minor movements at two-way stop and give-way (yield) sign-controlled intersections, entry streams at roundabouts and opposed (permitted) turns at signalised intersections. The same modelling principles apply to all these cases with different model parameters representing the intersection geometry, control and driver behaviour at different ...

<p style='text-indent:20px;'>The present article studies geometric step options in exponential Lévy markets. Our contribution is manifold and extends several aspects of the option pricing literature. First, we provide symmetry duality relations derive various characterizations for both European-type American-type double barrier options. In particular, are able to obtain a jump-diffusion d...

We specifically discussed the power law degree distribution which has degree distribution pk = C ·k−α where C is a constant and α > 1. While not all degree distributions will be power law, many of the degree distributions of observed networks will be heavy-tailed or long-tailed distributions. A heavy-tailed distribution is a distribution that is “heavier” than the exponential distribution. Here...

Epidemic models usually rely on the assumption of exponentially distributed sojourn times in infectious states. This is sometimes an acceptable approximation, but it is generally not realistic and it may influence the epidemic dynamics as it has already been shown in one population. Here, we explore the consequences of choosing constant or gamma-distributed infectious periods in a metapopulatio...

A Bayesian analysis is used to detect a change-point in a sequence of independent random variables from exponential distributions. In This paper, we try to estimate change point which occurs in any sequence of independent exponential observations. The Bayes estimators are derived for change point, the rate of exponential distribution before shift and the rate of exponential distribution after s...

Let q = 2, 0 ≤ k ≤ n − 1, n/ gcd(n, k) be odd and k 6= n/3, 2n/3. In this paper the value distribution of following exponential sums

Assume that n and k are positive integers with n ≥ 2k + 1. A non-hamiltonian graph G is hypo hamiltonian if G − v is hamiltonian for any v ∈ V (G). It is proved that the generalized Petersen graph P (n, k) is hypo hamiltonian if and only if k = 2 and n ≡ 5 (mod 6). Similarly, a hamiltonian graph G is hyper hamiltonian if G−v is hamiltonian for any v ∈ V (G). In this paper, we will give some nec...