Measurement with Minimal Theory

Measurement with Minimal Theory

A central debate in applied macroeconomics is whether statistical tools that use minimal identifying assumptions are useful for isolating promising models within a broad class. In this paper, I compare three statistical models—a vector autoregressive moving average (VARMA) model, an unrestricted state space model, and a restricted state space model— that are all consistent with the same prototy...

Risk measurement and Implied volatility under Minimal Entropy Martingale Measure for Levy process

This paper focuses on two main issues that are based on two important concepts: exponential Levy process and minimal entropy martingale measure. First, we intend to obtain   risk measurement such as value-at-risk (VaR) and conditional value-at-risk (CvaR) using Monte-Carlo methodunder minimal entropy martingale measure (MEMM) for exponential Levy process. This Martingale measure is used for the...

Nonunity gain minimal-disturbance measurement

Minimal String Theory is Logarithmic

We study the simplest examples of minimal string theory whose worldsheet description is the unitary (p, q) minimal model coupled to twodimensional gravity (Liouville field theory). In the Liouville sector, we show that four-point correlation functions of ‘tachyons’ exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov’s logarithmic d...

Matrix Theory for Minimal Trellises

Trellises provide a graphical representation for the row space of a matrix. The product construction of Kschischang and Sorokine builds minimal conventional trellises from matrices in minimal span form. Koetter and Vardy showed that minimal tailbiting trellises can be obtained by applying the product construction to submatrices of a characteristic matrix. We introduce the unique reduced minimal...