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QMLE of periodic bilinear models and of PARMA models with periodic bilinear innovations

Abdelouahab Bibi, Ahmed Ghezal (2018)

Kybernetika

This paper develops an asymptotic inference theory for bilinear B L time series models with periodic coefficients P B L for short . For this purpose, we establish firstly a necessary and sufficient conditions for such models to have a unique stationary and ergodic solutions (in periodic sense). Secondly, we examine the consistency and the asymptotic normality of the quasi-maximum likelihood estimator Q M L E under very mild moment condition for the innovation errors. As a result, it is shown that whenever the model is...

Quadratic estimation from non-independent uncertain observations with coloured noise.

S. Nakamori, R. Caballero, A. Hermoso, J. Jiménez, J. Linares (2004)

Extracta Mathematicae

Recursive least-squares quadratic filtering and fixed-point smoothing algorithms for signal estimation from uncertain observations are derived when the uncertainty is modeled by not necessarily independent variables and the observations contain white plus coloured noise. The proposed estimators do not require the knowledge of the state-space of the model generating the signal, but only the moments, up to the fourth one, of the processes involved, along with the probability that the signal exists...

Quadratic estimations in mixed linear models

Štefan Varga (1991)

Applications of Mathematics

In the paper four types of estimations of the linear function of the variance components are presented for the mixed linear model 𝐘 = 𝐗 β + 𝐞 with expectation E ( 𝐘 ) = 𝐗 β and covariance matrix D ( 𝐘 ) = 0 1 𝐕 1 + . . . + 0 𝐦 𝐕 𝐦 .

Quality improvement of rule-based gene group descriptions using information about GO terms importance occurring in premises of determined rules

Marek Sikora, Aleksandra Gruca (2010)

International Journal of Applied Mathematics and Computer Science

In this paper we present a method for evaluating the importance of GO terms which compose multi-attribute rules. The rules are generated for the purpose of biological interpretation of gene groups. Each multi-attribute rule is a combination of GO terms and, based on relationships among them, one can obtain a functional description of gene groups. We present a method which allows evaluating the influence of a given GO term on the quality of a rule and the quality of a whole set of rules. For each...

Quantifying the impact of different copulas in a generalized CreditRisk + framework An empirical study

Kevin Jakob, Matthias Fischer (2014)

Dependence Modeling

Without any doubt, credit risk is one of the most important risk types in the classical banking industry. Consequently, banks are required by supervisory audits to allocate economic capital to cover unexpected future credit losses. Typically, the amount of economical capital is determined with a credit portfolio model, e.g. using the popular CreditRisk+ framework (1997) or one of its recent generalizations (e.g. [8] or [15]). Relying on specific distributional assumptions, the credit loss distribution...

Quantile hedging for basket derivatives

Michał Barski (2012)

Applicationes Mathematicae

The problem of quantile hedging for basket derivatives in the Black-Scholes model with correlation is considered. Explicit formulas for the probability maximizing function and the cost reduction function are derived. Applicability of the results to the widely traded derivatives like digital, quantos, outperformance and spread options is shown.

Quantiles conditionnels

Sandrine Poiraud-Casanova, Christine Thomas-Agnan (1998)

Journal de la société française de statistique

Quantitative Analysis of Melanocyte Migration in vitro Based on Automated Cell Tracking under Phase Contrast Microscopy Considering the Combined Influence of Cell Division and Cell-Matrix Interactions

V. Letort, S. Fouliard, G. Letort, I. Adanja, M. Kumasaka, S. Gallagher, O. Debeir, L. Larue, F. Xavier (2010)

Mathematical Modelling of Natural Phenomena

The aim of this study was to describe and analyze the regulation and spatio-temporal dynamics of melanocyte migration in vitro and its coupling to cell division and interaction with the matrix. The melanocyte lineage is particularly interesting because it is involved in both embryonic development and oncogenesis/metastasis (melanoma). Biological experiments were performed on two melanocyte cell lines established from wild-type and β-catenin-transgenic...

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