The exact distribution of visiting rates does not appear to be widely known in the marketing literature. Here, analytical expressions are derived for the exact distribution, and their performance is compared with some known approximation. Some computer programs are provided for practical use.

Introduced in the 1980s, value at risk has been a popular measure of financial risk. However, value at risk suffers from a number of drawbacks as measure of financial risk. An alternative measure referred to as <italic>expected shortfall</italic> was introduced in late 1990s to circumvent these drawbacks. Much...

Historically, the normal variance model has been used to describe stock return distributions. This model is based on taking the conditional stock return distribution to be normal with its variance itself being a random variable. The form of the actual stock return distribution will depend on...

Simple transformations are given for reducing/stabilizing bias, skewness and kurtosis, including the first such transformations for kurtosis. The transformations are based on cumulant expansions and the effect of transformations on their main coefficients. The proposed transformations are...

For order q kernel density estimators we show that the constant bq in bias=bqhq+o(hq) can be made arbitrarily small, while keeping the variance bounded. A data-based selection of bq is presented and Monte Carlo simulations illustrate the advantages of the method.

We give the cumulative distribution function (cdf) of Mn, the (element-wise) maximum of a sequence of n observations from a multivariate AR(p) process. We do the same for a multivariate MA(p) process. Solutions are first given in terms of repeated integrals and then for the case, where the...