The probability distribution is found for the link distance between two randomly positioned mobile radios in a wireless network for two representative deployment scenarios: (1) the mobile locations are uniformly distributed over a rectangular area and (2) the x and y coordinates of the mobile locations have

Gaussian distributions.

The

Gaussian distribution obtained by convolution has [[mu].

Therefore, the posterior density function of the observation y is a multivariate

Gaussian distribution with mean E[y] = A[mu] and covariance Cov[y] = A[SIGMA][A.

j] is the weight of the j -- th

Gaussian distribution with [[summation].

Note that the Gaussian copula assumption is only for connecting the CDFs of the random variables, which is less restrictive than assuming a joint

Gaussian distribution for the variables themselves.

1,Z], corresponding to a high-variance cluster in Z, the marks come from a mixture

Gaussian distribution with equal means but different variances:

We divide our experiments into two groups with the increasing sample complexity: p = (1/2)N, N random samples from the multivariate

Gaussian distribution N(0, [[sigma].

Minimum distance is stated as difference of

Gaussian distributions.

The

gaussian distribution ranges from minus infinity to plus infinity, so as long as the SD is not zero, it is a mathematical certainty that the probability of results larger than 15.

The

Gaussian distribution is analytically tractable and has a long history as a model of stock returns.

The

Gaussian distribution is one of the simplest filters that can be applied to an image in order to blur it, or smooth it out.

After a short review on signal detection under Gaussian noise in [section]2, in [section]3 we incorporate small deviation from

Gaussian distribution in terms of the Edgeworth expansion and calculate the likelihood ratio with it.