New issues for the Goodness-of-fit test of the error distribution : a comparison between Sinh-arcsinh and Generalized Hyperbolic distributions

Conference (2013, April 19)

In this article, we consider a multiplicative heteroskedastic structure of financial returns and propose a methodology to study the goodness-of-fit of the error distribution. We use non-conventional ... [more ▼]

In this article, we consider a multiplicative heteroskedastic structure of financial returns and propose a methodology to study the goodness-of-fit of the error distribution. We use non-conventional estimation and model selection procedures (Berk-Jones (1978) tests, Sarno and Valente (2004) hypothesis testing, Diks et al. (2011) weighting method), based on the local volatility estimator of Mercurio and Spokoiny (2004) and the bootstrap methodology to compare the fit performances of candidate density functions. In particular, we introduce the sinh-arcsinh distributions (Jones and Pewsey, 2009) and we show that this family of density functions provides better bootstrap IMSE and better weighted Kullback-Leibler distances. [less ▲]

Monitoring delivery chains using multivariate control charts

in European Journal of Operational Research (2013)

Delivery chains are concerned with the delivery of goods and services to customers within a specific time interval; this time constraint is added to the usual consumer demand for product or service ... [more ▼]

Delivery chains are concerned with the delivery of goods and services to customers within a specific time interval; this time constraint is added to the usual consumer demand for product or service quality. In this context, we address the idea of using process control tools to monitor this key variable of delivery time. In applications, there are usually several production and delivery sites and a variety of different ways to transport, treat and provide goods and services; that makes the problem multivariate in nature. We therefore propose to control the process using multivariate T2 control charts economically designed with the addition of statistical constraints, a design method called economic-statistical design. We illustrate the application in general through an illustrative example. [less ▲]

Nonparametric regression with right-censored and generalized selection biased data

Conference (2012, December 02)

Conditional asset allocation: Does Market-Wide Liquidity Matter?

E-print/Working paper (2012)

This paper investigates the effect of market-wide liquidity on optimal portfolio allocations across US equity portfolios sorted by size and book-to-market characteristics. In particular, we consider a ... [more ▼]

This paper investigates the effect of market-wide liquidity on optimal portfolio allocations across US equity portfolios sorted by size and book-to-market characteristics. In particular, we consider a single-period investor with a relative risk aversion of 5, and use the nonparametric approach of Brandt (1999) to directly express optimal portfolio weights as functions of market-wide liquidity innovations. We find, first, that the effect of market-wide liquidity is a decreasing function of investment horizon. Second, this effect is stronger in allocations in the small stock portfolio and gets weaker as we move towards the large stock portfolio. Third, conditional allocations in risky asset(s) decrease and exhibit shifts towards more liquid and less risky assets as market-wide liquidity worsens. Overall, our results show that allocations based on market-wide liquidity as a signal capture many phenomena that have been identified by researchers in the US market, such as the so-called “flight-to-safety”, flight-to-quality” and “flight-to-liquidity” episodes. Furthermore, in an out-of-sample test, results demonstrate the superior performance of a strategy based on market-wide liquidity compared to a benchmark strategy. [less ▲]

Error distribution function for parametrically truncated and censored data

Conference (2012, September 14)

Asymptotic properties of the error distribution estimation in right censored and selection biased regression models

Conference (2012, June 16)

Suppose the random vector (X,Y) satisfies the nonparametric regression model Y=m(X)+sigma(X)*epsilon where m(X) =E [Y|X] and sigma^2(X) = Var [Y|X] are unknown smooth functions and the error epsilon, with ... [more ▼]

Suppose the random vector (X,Y) satisfies the nonparametric regression model Y=m(X)+sigma(X)*epsilon where m(X) =E [Y|X] and sigma^2(X) = Var [Y|X] are unknown smooth functions and the error epsilon, with unknown distribution, is independent of the covariate X. The pair (X,Y) is subject to generalized bias selection and the response Y to right censoring. We define a new estimator for the cumulative distribution function of the error epsilon, where the estimators of m(.) and sigma^2(.) are obtained by extending the conditional estimation methods introduced in de Uña-Alvarez and Iglesias-Perez (2010). The asymptotic properties of the proposed estimator are established. A bootstrap technique is proposed to select the smoothing parameter involved in the procedure. Finally, this method is studied via extended simulations and applied to real data. [less ▲]

Optimal T2 control chart with double sampling scheme - an alternative to the MEWMA chart

in Quality & Reliability Engineering International (2012), 28(7), 751-760

Recent studies have shown that the double sampling (DS) scheme yields rapid detection of out of control situations, but the economic consequences of applying the proposed method are not discussed in the ... [more ▼]

Recent studies have shown that the double sampling (DS) scheme yields rapid detection of out of control situations, but the economic consequences of applying the proposed method are not discussed in the literature yet. In this paper, the economic statistical design of the DS T2 control chart is designed to address this issue. In this regard, upon the Lorenzen and Vance (1986)’s economic model, the problem is formulized and then the cost function is minimized using the genetic algorithm search method to obtain the optimal design parameters. Besides, we assumed that the length of the time that process remains in control is exponentially distributed. Through an illustrative example we show that by applying the proposed method relatively large benefits can be achieved in a comparison with the classical T2 and the statistical DS T2 charts. Furthermore the performance of the ESD DS T2 charts is compared to the MEWMA and other variable ratio sampling (VRS) T2 control charts in the literature. [less ▲]

Estimation under left parametric truncation and right censoring

Scientific conference (2012)

Scale checks in censored regression

in Scandinavian Journal of Statistics (2012), 39

Statistical design of the variable parameters Hotelling's T2 control chart with run rules: using Genetic Algorithms approach

E-print/Working paper (2012)