Young, gifted and spiritual -The case of Finnish sixth-grade pupils

The aim of this study was to explore the spirituality of Finnish academically gifted 12 13-year old pre-adolescents (N = 101). Their spirituality was investigated through the following three questions: (1) What is their relationship to religion? (2) How do they perceive transcendence? and (3) How does their search for meaning integrate into their lives? A total of 60 girls and 41 boys participated in the study. They attend a special school, Helsingin Suomalainen yhteiskoulu, in Helsinki, Finland. The school includes classes from grade 3 to upper secondary school and has an entrance test. This study is part of a research project called Actualizing Finnish Giftedness which is funded by the Finnish Academy between 2000 2007 and is led by Professor Tirri. The research project is based on Gardner s Multiple Intelligences theory (Gardner 1993) and on Hay s (1998) work on spirituality. The data in this study was gathered in 2003 and 2004. It includes both qualitative and quantitative material. The emphasis is on data gathered with interviews. The mixed method approach was used as the methodological framework for connecting the qualitative content analysis, phenomenological approach and the quantitative tests of this study. The results of the sub-studies are reported in full in the four original articles. First, the articles show that the pupils connect religion mainly with Christian institutions and do not consider religion and spirituality to overlap. Second, the articles show that the pupils believe in God and the interference of God in their lives and they think that reality includes a spiritual dimension. Third, the pupils had four kinds of existentially significant interests: personal, transcendental, cosmic and ethical. Cosmic interests were especially highlighted in the article concerning boys as nature and science were reported to be integral sources for their existential thinking. In addition, perceptions on God seemed to be connected to the individual s perception on the meaning of life. In RE, spiritual development has been a constant topic of interest since the late eighties. Likewise, recently in gifted education there have been discussions concerning spiritual intelligence (Gardner 1999) and spirituality of the gifted (Kerr & Cohn 2001). Based on the empirical results of the study, this study concludes that education wishing to promote spiritual development should aim at being existentially relevant to the pupils and use their existential search as an integrative framework for their individual talents and skills.

Non-Gaussian Cosmological Perturbations from Hybrid Inflation and Preheating

This thesis consists of four research papers and an introduction providing some background. The structure in the universe is generally considered to originate from quantum fluctuations in the very early universe. The standard lore of cosmology states that the primordial perturbations are almost scale-invariant, adiabatic, and Gaussian. A snapshot of the structure from the time when the universe became transparent can be seen in the cosmic microwave background (CMB). For a long time mainly the power spectrum of the CMB temperature fluctuations has been used to obtain observational constraints, especially on deviations from scale-invariance and pure adiabacity. Non-Gaussian perturbations provide a novel and very promising way to test theoretical predictions. They probe beyond the power spectrum, or two point correlator, since non-Gaussianity involves higher order statistics. The thesis concentrates on the non-Gaussian perturbations arising in several situations involving two scalar fields, namely, hybrid inflation and various forms of preheating. First we go through some basic concepts -- such as the cosmological inflation, reheating and preheating, and the role of scalar fields during inflation -- which are necessary for the understanding of the research papers. We also review the standard linear cosmological perturbation theory. The second order perturbation theory formalism for two scalar fields is developed. We explain what is meant by non-Gaussian perturbations, and discuss some difficulties in parametrisation and observation. In particular, we concentrate on the nonlinearity parameter. The prospects of observing non-Gaussianity are briefly discussed. We apply the formalism and calculate the evolution of the second order curvature perturbation during hybrid inflation. We estimate the amount of non-Gaussianity in the model and find that there is a possibility for an observational effect. The non-Gaussianity arising in preheating is also studied. We find that the level produced by the simplest model of instant preheating is insignificant, whereas standard preheating with parametric resonance as well as tachyonic preheating are prone to easily saturate and even exceed the observational limits. We also mention other approaches to the study of primordial non-Gaussianities, which differ from the perturbation theory method chosen in the thesis work.

Modeling Nonlinearities and Asymmetries in Asset Pricing

Financial time series tend to behave in a manner that is not directly drawn from a normal distribution. Asymmetries and nonlinearities are usually seen and these characteristics need to be taken into account. To make forecasts and predictions of future return and risk is rather complicated. The existing models for predicting risk are of help to a certain degree, but the complexity in financial time series data makes it difficult. The introduction of nonlinearities and asymmetries for the purpose of better models and forecasts regarding both mean and variance is supported by the essays in this dissertation. Linear and nonlinear models are consequently introduced in this dissertation. The advantages of nonlinear models are that they can take into account asymmetries. Asymmetric patterns usually mean that large negative returns appear more often than positive returns of the same magnitude. This goes hand in hand with the fact that negative returns are associated with higher risk than in the case where positive returns of the same magnitude are observed. The reason why these models are of high importance lies in the ability to make the best possible estimations and predictions of future returns and for predicting risk.

Short-Horizon Asymmetric Mean-Reversion and Overreactions: Evidence from the Nordic Stock Markets

This paper examines the asymmetric behavior of conditional mean and variance. Short-horizon mean-reversion behavior in mean is modeled with an asymmetric nonlinear autoregressive model, and the variance is modeled with an Exponential GARCH in Mean model. The results of the empirical investigation of the Nordic stock markets indicates that negative returns revert faster to positive returns when positive returns generally persist longer. Asymmetry in both mean and variance can be seen on all included markets and are fairly similar. Volatility rises following negative returns more than following positive returns which is an indication of overreactions. Negative returns lead to increased variance and positive returns leads even to decreased variance.