INFERRING THE ECCENTRICITY DISTRIBUTION

Computing the Eccentricity Distribution of Large Graphs

The eccentricity of a node in a graph is defined as the length of a longest shortest path starting at that node. The eccentricity distribution over all nodes is a relevant descriptive property of the graph, and its extreme values allow the derivation of measures such as the radius, diameter, center and periphery of the graph. This paper describes two new methods for computing the eccentricity d...

Dynamical Origin of Extrasolar Planet Eccentricity Distribution

In the past decade we have witnessed the discoveries of over 200 extrasolar planets, and the measurements of their unexpected dynamical properties. Specifically, the eccentricities of currently known extrasolar planets exhibit a distribution unlike that of the solar system, with moderately and highly eccentric planets being the rule rather than the exception. In this paper we explore a possible...

On the Eccentricity Distribution of Exoplanets from Radial Velocity Surveys

We investigate the estimation of orbital parameters by least-χ2 Keplerian fits to radial velocity (RV) data using synthetic data sets. We find that while the fitted period is fairly accurate, the best-fit eccentricity and Mp sin i are systematically biased upward from the true values for low signal-to-noise ratio K/σ . 3 and moderate number of observations Nobs . 60, leading to a suppression of...

The exoplanet eccentricity distribution from Kepler planet candidates

The eccentricity distribution of exoplanets is known from radial velocity surveys to be divergent from circular orbits beyond 0.1 au. This is particularly the case for large planets where the radial velocity technique is most sensitive. The eccentricity of planetary orbits can have a large effect on the transit probability and subsequently the planet yield of transit surveys. The Kepler mission...

Inferring Trading Strategies from Probability Distribution Functions Inferring Trading Strategies from Probability Distribution Functions