We provide novel methods for inference on quantile treatment effects in both uncon- ditional and conditional (nonparametric) settings. These methods achieve high-order accuracy by using the probability integral transform and a Dirichlet (rather than Gaus- sian) reference distribution. We propose...

Random walks of n steps taken into independent uniformly random directions in a d-dimensional Euclidean space (d⩾2), which are characterized by a sum of step lengths which is fixed and taken to be 1 without loss of generality, are named “Dirichlet” when this constraint is realized via a...

In this paper is presented an interactive R-application for carried out an elicitation process to the vector of parameters of the Multinomial distribution. The application is developed mainly under two R libraries, Shiny and RSQLite. Shiny is a package that allows developing a web application...

We provide a new bivariate distribution with beta marginal distributions, positive probability over the unit square, and correlations over the full range. We discuss its extension to three or more dimensions.

The class of Dirichlet random vectors is central in numerous probabilistic and statistical applications. The main result of this paper derives the exact tail asymptotics of the aggregated risk of powers of Dirichlet random vectors when the radial component has df in the Gumbel or the Weibull...

In this paper, we investigate the Bingham distribution when the dimension p is large. Our approach is to use a series expansion of the distribution from which truncation points can be determined yielding particular errors. A point of comparison with the approach of Dryden (2005) is highlighted.

The Volume Weighted Average Price (VWAP) mixes volumes and prices at intra-daily intervals and is a benchmark measure frequently used to evaluate a trader's performance. Under suitable assumptions, splitting a daily order according to ex-ante volume predictions is a good strategy to replicate...

Different concepts of neutrality have been studied in the literature in context of independence properties of vectors of random probabilities, in particular, for Dirichlet random vectors. Some neutrality conditions led to characterizations of the Dirichlet distribution. In this paper we provide...

We present a multistage stochastic procedure that produces a fair allocation of a cake among n-person. In each step players observe the collection of the random offers (x1, …, xn), where x1 + ⋯ + xn = 1. As the proposal emerged players have to make a decision to accept it or reject it. The...

Some new exact distributions on coupon collector’s waiting time problems are given based on a generalized Pólya urn sampling. In particular, usual Pólya urn sampling generates an exchangeable random sequence. In this case, an alternative derivation of the distribution is also obtained from...