Motivated by hydrological applications, we derive the exact distributions of R=X + Y, P=XY and W=X/(X+Y) and the corresponding moment properties when X and Y follow Friday and Patil's bivariate exponential distribution. An application of the results is provided to drought data from Nebraska....

We propose a new three-step model-selection framework for size distributions in empirical data. It generalizes a recent frequentist plausibility-of-fit analysis (Step 1) and combines it with a relative ranking based on the Bayesian Akaike Information Criterion (Step 2). We enhance these...

We analyze the top tail of the wealth distribution in Germany, France, Spain, and Greece based on the Household Finance and Consumption Survey (HFCS). Since top wealth is likely to be underrepresented in household surveys we integrate the big fortunes from rich lists, estimate a Pareto...

Using a comprehensive international trade data set we investigate empirical regularities (known as Zipf’s Law or the rank-size rule) for the distribution of the interaction between countries as measured by revealed comparative advantage. Using the recently developed estimator by Gabaix and...

This note analyzes the distributional properties of Pareto Type III random variables. The orignal two parameters distribution proposed by Pareto is expanded in a three parameters version and both its density and characteristic function are derived. The analytic expression of the inverse...

It is a well-known criticism that due to its exponential distribution, survey data on wealth is hardly reliable when it comes to analyzing the richest parts of society. This paper addresses this criticism using Austrian data from the Household Finance and Consumption Survey (HFCS). In doing so...

Survey data tends to be biased toward the middle class. Often it fails to adequately cover the highly relevant group of multi-millionaires and billionaires, which in turn results in biased estimates for aggregate wealth and top wealth shares. In order to overcome the under coverage and obtain...

Household survey data provide a rich information set on income, household context and demographic variables, but tend to under report incomes at the very top of the distribution. Administrative data like tax records offer more precise information on top incomes, but at the expense of household...