For a weighted sum of asset returns that are independent and identically distributed (IID) up to variance, we derive expressions linking the distribution of variance across assets with higher-order portfolio moments, assuming these quantities are finite. In particular, we show concise...

The task of statistically analysing and understanding high-dimensional financial data sets is one that is increasingly pertinent in an age of burgeoning information. With high frequency measurements and a global investment universe of hundreds of thousands of securities, reducing the dimension...

We introduce a new framework for understanding portfolio diversification that provides a coherent basis for comparing methodologies and offers a new approach to portfolio construction. The primary argument is that measures of diversification based only on a covariance matrix are ambiguous...

In machine learning and data science literature, clustering is the task of dividing the observations (data points) into several categories in such a way that data points falling into one group are being dissimilar than the data points falling to the other groups such that the variation within a...

This research identifies the presence of long memory given return series of the stock markets in the ASEAN-4 countries, namely, Indonesia, Malaysia, the Philippines and Thailand. Daily stock prices from 1994 to 2004, which were neither adjusted for dividends nor inflation, were employed in the...

Non-classical measurement error with false positives and negatives produces biased and inconsistent estimates. This is the case whether the mismeasured variable is a dependent or an explanatory variable. Moreover, having an IV does not fix this issue. Instead, this paper shows that proper...

This paper studies convergence in per-capita GDP across European regions over the period 1980-2000. We use median unbiased estimators of the rate of convergence to the steady-state growth path, while allowing for unrestricted patterns of heterogeneity and spatial correlation across regions. By...

To the best knowledge of authors, the use of Random forest as a potential technique for residential estate mass appraisal has been attempted for the first time. In the empirical study using data on residential apartments the method performed better than such techniques as CHAID, CART, KNN,...

In this paper we use structured population models to study the evolution of the abundance of a deep-sea shark stock of the Spiny dog fish species, Squalus acanthias. We only consider the female population divided into three length classes based on the characteristics of the species' development....

Herein we attempt to quantify Tom McClellan’s notion of Dance Steps between two series of data, often of differing time periods (a current, or dependent and a previous, or independent period data series), looking for similarities in the turning points to use as a reference for the future...