New Liu Estimators for the Poisson Regression Model: Method and Application

A new shrinkage estimator for the Poisson model is introduced in this paper. This method is a generalization of the Liu (1993) estimator originally developed for the linear regression model and will be generalised here to be used instead of the classical maximum likelihood (ML) method in the presence of multicollinearity since the mean squared error (MSE) of ML becomes inflated in that situation. Furthermore, this paper derives the optimal value of the shrinkage parameter and based on this value some methods of how the shrinkage parameter should be estimated are suggested. Using Monte Carlo simulation where the MSE and mean absolute error (MAE) are calculated it is shown that when the Liu estimator is applied with these proposed estimators of the shrinkage parameter it always outperforms the ML. Finally, an empirical application has been considered to illustrate the usefulness of the new Liu estimators.Estimation; MSE; MAE; Multicollinearity; Poisson; Liu; Simulation

On ℓ-adic representations for a space of noncongruence cuspforms

This paper is concerned with a compatible family of 4-dimensional ℓ-adic representations ρℓ of GQ := Gal(Q/Q) attached to the space of weight-3 cuspforms S3(Γ) on a noncongruence subgroup Γ ⊂ SL2(Z). For this representation we prove that: 1. It is automorphic: the L-function L(s,ρℓ∨) agrees with the L-function for an automorphic form for GL4(AQ), where ρℓ∨ is the dual of ρℓ. 2. For each prime p≥5 there is a basis hp = {hp+, hp-} of S3(Γ) whose expansion coefficients satisfy 3-term Atkin and Swinnerton-Dyer (ASD) relations, relative to the q-expansion coefficients of a newform f of level 432. The structure of this basis depends on the class of p modulo 12. The key point is that the representation ρℓ admits a quaternion multiplication structure in the sense of Atkin, Li, Liu, and Long

Vibronic effects on electronic spectra and nonadiabatic photophysics. A quantum/classical dynamical approach.

Quantum vibronic effects have a remarkable impact on the lineshape of electronic spectra.1 They can also play an important role in the dynamics of photophysical processes like internal conversions at Conical Intersections or charge and energy transfer in multichromophoric systems. Recent advancements allow a fair description of such effects in rigid (harmonic) molecules in gas phase.1-4 However, in biology and in material science the photoexcited chomophores are usually embedded in a solvent, possibly establishing with them specific interactions, or even in more complex and heterogeneous environments. Moreover, many systems with interesting optical properties are flexible, i.e. the optical transition triggers large-amplitude curvilinear distortions, and this challenges the applicability of harmonic approximation. Trajectory based approaches are very suitable to deal with these scenarios but they neglect quantum nuclear effects. We are currently working with the hope to devise robust hybrid quantum/classical (QC) approaches to merge the potentialities of trajectory based methods and those of the quantum vibronic methods developed for rigid systems in gas phase or implicit solvents.1,5-6 The system is partitioned in two subsystems: a quantum core (the chromophore or just its high-frequency modes) and an environment (which can include also large amplitude motions of the system itself and is treated at a more approximate classical level) and the challenge is the reliable description of their mutual couplings. We will illustrate our recent results with a number of examples ranging from the chiro-otpical properties of flexible conjugated systems (e.g. oligothiophenes) to the nonadiabatic decay of photoexcited DNA nucleobases7 in acqueous solution. 8-12 1. F. Santoro, D. Jacquemin, WIREs Comput Mol Sci 6, 460–486, 2016 2. M. H Beck,. A Jäckle,. G. A Worth, H.-D Meyer,. Physics Report 2000, 324 3. L. S. Cederbaum, E. Gindensperger, and I. Burghardt, Phys. Rev. Lett. 94, 113003, 2005. 4. D. Picconi, F. Avila, R. Improta, A. Lami, F. Santoro, Faraday Discuss, 163, 223, 2013 5. F. Avila, R. Improta, F. Santoro, V. Barone, Phys Chem Chem Phys. 17007, 13, 2011 6. F. Avila, J. Cerezo, J. Soto, R. Improta, F. Santoro, Comp. Chem. Theor. 1040-1041, 328, 2014 7. R. Improta, E. Stendardo, F. Avila, F. Santoro, Chem. Phys. Chem. 15 3320, 2014 8. R. Improta, F. Santoro, L. Blancafort, Chem . Rev 116, 3540 2016 9. D. Padula, F. Santoro, G. Pescitelli RSC Adv. 6, 37928, 116, 3540, 2016 10. J. Cerezo, F. Avila, G. Prampolini, F. Santoro, J. Chem. Theor. Comp. 11, 5810, 2015 11. J. Cerezo, G. Mazzeo, G. Longhi, S. Abbate, F. Santoro J. Phys. Chem. Lett. 7, 4891, 2016 12. Y. Liu, J. Cerezo, N. Lin, X. Zhao, R. Improta, F. Santoro submitted to J. Phys. Chem. Lett.Universidad de Málaga. Cammous de Excelencia Internacional Andalucía Tech

Combating intellectual leakage: the role of education in resisting hegemonic effects of local elites and building sustainable communities

Background: This research seeks to resolve academic concern for the limited insight within existing bodies of knowledge in terms of how Sustainability and Sustainable Tourism Development is conceptualised at a grassroots level; by the stakeholders and more specifically the inhabitants of the Tourism destination (Redclift, 1987; Liu, 2003; Swarbrooke, 1999; Mowforth and Munt, 1998) . The research is driven by the aim to evaluate power relationships and conceptualisations of sustainability upon post - disaster Tourism redevelopment using the case study of Koh Phi Phi Island in Thailand which was devastated by the Asian Tsunami of December 2004. Approach: An interpretive philosophy informed the research design in which primary data was gathered using a mixed methods approach throughout the period April 2006 to December 2011 . These methods included the use of online and offline techniques. Online research comprised the design and operation of a tailored website which was used to overcome geographical and access limitations. Offline methods included the use of visual techniques to monitor change over time , in depth face to face interviews with stakeholders of Phi Phi’s development, open ended questionnaires with tourists on the island and extended answer Thai script questionnaires

Conference on immigration law and policies.

Conference held on 24 February 2001 (Saturday) in Council Chamber, 8/F, Meng Wah Complex, University of Hong Kong.Caption title.published_or_final_versionStrugging with the right to family life Athena Liu Liu, AthenaIntegration or segregation : the political attitude of new arrivals Robert Chung Chung, RobertHousing and welfare services for new arrivals from China : inclusion or exclusion? Ernest Chui Chui, ErnestImmigration and health care Chow Chun Bong Chow, Chun- bongQuota system and one way permit Ho Hei Wah Ho, Hei-wahDiscretion and immigration control Philip Dykes SC Dykes, Philip S. C.Immigration law and discretionary powers T K Lai Lai, T. K.Inherent contradictions and inconsistencies in the Immigration Ordinance S H Kwok Kwok, S. H.Due process and aliens Paul Harris Harris, PaulThe cultural politics of mainland Chinese migration to Hong Kong Khun Eng Kuah-Pearce Kuah-Pearce, Khun En

Extending the range of the inductionless magnetorotational instability

The magnetorotational instability (MRI) can destabilize hydrodynamically stable rotational flows, thereby allowing angular momentum transport in accretion disks. A notorious problem for MRI is its questionable applicability in regions with low magnetic Prandtl number, as they are typical for protoplanetary disks and the outer parts of accretion disks around black holes. Using the WKB method, we extend the range of applicability of MRI by showing that the inductionless versions of MRI, such as the helical MRI and the azimuthal MRI, can easily destabilize Keplerian profiles ~ 1/r^(3/2) if the radial profile of the azimuthal magnetic field is only slightly modified from the current-free profile ~ 1/r. This way we further show how the formerly known lower Liu limit of the critical Rossby number, Ro=-0.828, connects naturally with the upper Liu limit, Ro=+4.828.Comment: Growth rates added, references modified; submitted to Physical Review Letter