The adaptive EWMA (AEWMA) charts have been broadly perceived as an effective process monitoring instrument due to their capability to rapidly detect the parameter(s) shifts of diverse sizes. In this paper, a function based AEWMA control chart is designed to efficiently observe the stability of...

In this paper, we consider a wide class of time-varying multivariate causal processes which nests many classic and new examples as special cases. We first prove the existence of a weakly dependent stationary approximation for our model which is the foundation to initiate the theoretical...

In this paper we exploit properties of the likelihood function of the stochastic volatility model to show that it can be approximated accurately and efficiently using a response surface methodology. The approximation is across the plausible range of parameter values and all possible data and is...

Correlations between claims in insurers lines of business may change results obtained on claims reserving. Here we develop univariate and multivariate generalized link ratios to port-folio data, that is estimating several triangles at the same time with correspondent correla-tions. Two options...

The episodes of stock market crises in Europe and the U.S.A. since the year 2000, and the fragility of the international stock markets, have sparked the interest of researchers in understanding and in modeling the markets’ rising volatilities in order to prevent against crises. Portfolio...

The dynamic conditional correlation (DCC) and co-range models are two main frameworks widely used to employ range-based univariate volatility. Using the two approaches, we build novel multivariate range-based EGARCH (REGARCH) models: a DCC-REGARCH and co-range REGARCH (CRREGARCH) model, as well...

In the past decade, cyber insurance has raised much interest in the insurance industry, and cyber risk has evolved from a type of pure operational risk to both operational and liability risk for insurers. However, the modeling of cyber risk is still in its infancy. Compared with other insurance...

In this paper, we consider pricing of European options and spread options for Hawkes-based model for the limit order book. We introduce multivariate Hawkes process and the multivariable general compound Hawkes process. Exponential multivariate general compound Hawkes processes and limit theorems...

This paper proposes a convenient approach to measure the time-varying volatility connectedness indexes by developing the connectedness measures within a multivariate Heterogeneous Autoregressive model with measurement errors (VHAR-Q). We utilize this framework to examine the dynamic volatility...