Let (X(t),Y(t)) be a symmetric [alpha]-stable Lévy process on with 1[alpha]=2 and LY(t) be the local time at 0 for Y(t). A multivariate asymptotic estimate is obtained involving the first hitting time and place of the positive half of the X-axis, and LY([dot operator]) up to then. The method is...

For one-dimensional Brownian motion, the first hitting time of a point has infinite mean while the exit time from an interval has finite exponential moments. In this note we establish its counterparts for symmetric stable processes. The Laplace transform of the first hitting time of the integer...

This report aims to familiarize those involved in estimating official poverty statistics with the SWIFT framework to enhance the frequency and quality of poverty data. It presentshow SWIFT works, discusses the advantages and caveats of the methodology, and provides examples of country-specific...

The 2014 release of a new set of purchasing power parity conversion factors (PPPs) for 2011 has prompted a revision of the international poverty line. In order to preserve the integrity of the goalposts for international targets such as the Sustainable Development Goals and the World Bank's twin...

This paper studies the benefits, in terms of reliability and frequency of poverty statistics, of conducting a hybrid survey that collects non-consumption data from all surveyed households and consumption data from only a small subsample. Collecting detailed consumption or income data for the...

The 2014 release of a new set of purchasing power parity conversion factors (PPPs) for 2011 has prompted a revision of the international poverty line. In order to preserve the integrity of the goalposts for international targets such as the Sustainable Development Goals and the World Bank's twin...