In this case the factorisation of joint

density function into conditional function and marginal model helps to isolate effects of these shocks.

However, they suggested that it may be possible to estimate the probability

density function of the escape times for the chaotic set.

The paper also provides an alternative approach to the traditional exponential

density function to explore transformations in urban form.

As long as these two component payoff functions are additively separable and continuous in own and other's decision, it is straightforward to verify that the expected payoff derivative will have the "local" property that it depends on the player's own decision x and on the other's distribution and

density functions evaluated at x.

To examine SD of small stock versus low-grade bond returns we construct the cumulative

density function (CDF), the n realized monthly returns are ranked in increasing order.

Although the monocentric employment

density function implies that gradients do not vary across the urban area, multiple subcenters or distinctive topographical features may lead to variations in gradients.

Hence, the interrelationship among markets, established by the conditional probability

density functions of output and factor markets, is an important determinant of the competitive firm's long-run equilibrium.

3) Suppose now that two types of banks exist: banks with riskier assets (H-type banks), whose

density function is denoted by [dF.

Application of the Probability

Density Function Method to Turbulent Mixing with Chemical Reaction

Given that the distance between two vehicles is exponentially distributed the probability

density function (pdf) of Z is

The gradient of the

density function can be obtained from the estimate of the density gradient because the dense regions in the feature space correspond to the local maxima of the probability

density function.

From this peer group, knowing the measured energy use index (EUI)--energy use per unit area for each building in the group--as determined from energy use data, we can obtain a probability

density function (PDF) of energy use for such buildings.