Regression analysis is very popular among researchers in various fields but almost all the researchers use the classical methods which assume that X is nonstochastic and the error is normally distributed. However, in real life problems, X is generally stochastic and error can be nonnormal. Maximum likelihood (ML) estimation technique which is known to have optimal features, is very problematic in situations when the distribution of X (marginal part) or error (conditional part) is nonnormal. Modified maximum likelihood (MML) technique which is asymptotically giving the estimators equivalent to the ML estimators, gives us the opportunity to conduct the estimation and the hypothesis testing procedures under nonnormal marginal and conditional distributions. In this study we show that MML estimators are highly efficient and robust. Moreover, the test statistics based on the MML estimators are much more powerful and robust compared to the test statistics based on least squares (LS) estimators which are mostly used in literature. Theoretically, MML estimators are asymptotically minimum variance bound (MVB) estimators but simulation results show that they are highly efficient even for small sample sizes. In this thesis, Weibull and Generalized Logistic distributions are used for illustration and the results given are based on these distributions. As a future study, MML technique can be utilized for other types of distributions and the procedures based on bivariate data can be extended to multivariate data.

The ordinary least squares (OLS) is one of the most widely used methods for modelling the functional relationship between variables. However, this estimation procedure counts on some assumptions and the violation of these assumptions may lead to nonrobust estimates. In this study, the simple linear regression model is investigated for conditions in which the distribution of the error terms is Generalised Logistic. Some robust and nonparametric methods such as modified maximum likelihood (MML), least absolute deviations (LAD), Winsorized least squares, least trimmed squares (LTS), Theil and weighted Theil are compared via computer simulation. In order to evaluate the estimator performance, mean, variance, bias, mean square error (MSE) and relative mean square error (RMSE) are computed.

Alloys of titanium are highly preferred materials for their excellent strength to weight ratio but the tribological issues while using them has been posing challenging issues for the tribological analyst, which are still areas of active research. Ti-6Al-4V (Ti64) is the most popular alloy of titanium and our understanding of the fundamental mechanisms of wear and friction of this alloy is still not complete. Previous investigations related to the tribology of these alloys have suggested a synergistic effect of plastic deformation and tribo-oxidation. The present investigation described in this thesis explores the existence of one more mode, namely the formation of a Mechanically Mixed Layer (MML). The thesis examines the effect of these modes one by one and analyses the synergistic effect of these mechanisms, and also the effect of heat generation during sliding. The tribological condition existing have been varied by doing wear experiments using Ti64 pins sliding against alumina and SS316L (controls MML), diameter of pin (expected to control debris entrapment and thus MML formation), tribo-system (horizontal disc Vs vertical disc, which is also expected to control debris entrapment and thus MML formation), environment (ambient and vacuum, expected to control tribo-oxidation) and sliding speed (expected to control interface temperature and thus plastic deformation mechanism and tribo-oxidations). The division of the main chapters has been so made to present the findings spread over Chapters 5-8, with each chapter dealing with specific tribological test conditions. In each chapter, results from the tribological experimentations in the form of wear and friction are presented, together with the characterization methods which throw light into the tribological mechanisms. These characterization methods include Scanning Electron Microscopy (SEM), Energy Dispersive X-ray Spectroscopy (EDAX), X-Ray Diffraction (XRD) and Electron probe micro-analyzer (EPMA). Wherever possible, the debris collected from the experiments have been subjected to morphological and detailed chemical analysis, and a feature which has not been explored much in detail by tribological investigators, but having a promising potential. Experimental results from tribological testing when Ti64 pins slides against two different materials (Alumina and SS316L) in pin-on-disc tribometers under two different environmental conditions (ambient /vacuum) are analyzed. Each set of experiments looks at two different effects - (1) the effect of sliding speed on the tribological behavior while using a pin of a fixed diameter (all other parameters remaining the same) and (2) the effect of using pins of different diameters for a given set of parameters. Three different pin-sizes were employed (2.1 mm. 4.6 mm and 6.6 mm), the normal loads on these pins were changed according to the pin-size used so that all experiments were done at the same contact pressure (2.8 MPa). By performing the experiments against the ceramic disc (alumina) under vacuum conditions, the effect of this plastic deformation is studied in isolation because the possibility of the Tribo Chemical Reaction (TCR) due to oxidation is inhibited and no MML was found to be formed due to poor compatibility of mixing between the metallic pin and the ceramic disc. For the low speeds/strain rates experiments, the effect of plastic deformation as influenced by the adiabatic shear banding is seen to influence wear which progressively changes to temperature induced plastic deformation and wear. The situation is found to be different when we change the environmental conditions from vacuum to ambient for the same tribo-combination. The tests shows a reduction in wear rate with speed, and this is due to the oxide formations due to TCR as confirmed from the SEM/EDAX characterization. In contrast to previous experiments under vacuum, these permit the effect of TCR also to influence the tribological behavior. The scenario changes when the alumina disc is replaced by a metallic one (SS316L) and tests carried out in vacuum, as the MML was found to be formed with this tribo-pair. Because of the mutual affinity of the materials in the tribo-pair, the wear damage is severe in this case and the flash temperatures crossing the phase transition temperature (~880oC) for Ti64 at high speeds. The growth of the β phase with increase in the sliding (temperature) conditions is captured from the XRD spectra of the wear debris. Synergistic effect of all these mechanisms (plastic deformation, MML, and TCR) is permitted by conducting experiments with Ti64 pin against stainless steel and in ambient conditions. A comparison of the tribological response by presenting results when experiments are run over a range of speeds while using different sized pins under ambient conditions (and compared with similar results in vacuum) while using SS316L disc serve to demarcate the differences in the wear modes which are active/inactive depending on the tribological conditions. In addition a study incorporating the effect of frictional heating and its influence on the tribological phenomena is analyzed. Main conclusions from the thesis are: The wear resistance of Ti64 alloy when sliding against SS316L is found to be influenced by Strain Rate Response (SRR), Tribo Oxidation (TO), Mechanically Mixed Layer (MML) and the prevailing heat flux conditions at the contact. The wear rates were found to decrease marginally with sliding speeds (strain rates) up to a certain speed, which is ascribed to reduction in adiabatic shear band intensity with increase in strain rate. Adiabatic Shear Band (ASB), which allows easy crack propagation, intensity reduces as temperature of deformation of Ti64 is increased. From the results it can be confirmed that the propensity for formation of MML depends on compatibility of the disc and the pin material. The contribution due to of entrapment and retention of debris in the contact zone also would influence formation of the MML. The effect of frictional heating plays an influential role as it can affect the factors (TO, ASB, MML) governing the tribological response. The sensitivity to temperature, which is a marked feature of this alloy in undergoing softening, as confirmed by previous researchers, is reflected in the experimental results. Since the main factor that triggers the micro-structural instability is the energy dissipation that accompanies deformation more fundamental research which can improve the thermal transport properties of this alloy, would be the future scope of work of this thesis. Also, the unique composition of the MML which offers high wear resistance under specific operating conditions opens up the possibility of new such alloy formulations, production routes and techniques which should improve the tribological response of this alloy.

This thesis is primarily focused on collecting insights regarding rock music fan that can be applied to marketing communication. Its main aim is to describe how the rock fans are different from the major population in terms of descriptive characteristics, values, opinions and lifestyle. The points of parity and the points of difference are investigated on the level of rock sub-genres. The message, symbolism and main ideas present in rock music are examined, including historical and social context leading to the formation and development of the genre. We also tried to assign a specific archetype to rock and its sub-genres. We assume that rock fans are in some ways different from the rest of the population and that we are able to observe the differences on the level of sub-genres. However, we also expect that there are some points of parity symptomatic for all the rock genres. We suppose that artists and music marketers approach marketing communication mostly from the point of their own intuition and that they frequently use symbolism, historical references and archetypes in their way of communication. The research is comprised of three parts. First part is the analysis of secondary data from MML-TGI database by Median Research Company for year 2013. Used methodology: General analysis and cross analysis. The objective of the analysis was to determine differences between genres and subgenres in terms of descriptive characteristics, value system and verdicts about lifestyle. The next part of the research was the content analysis of notable rock album front covers for the purpose of deeper exploration of rock symbols. The last part of the research is comprised of interviews with music industry professionals who shared their opinion regarding genre characteristics, fans and marketing communication in real life.

The main aim of this thesis is to observe dissimilarities between men and women. My survey is focused on differences among men and women especially in areas of perception of media, spending of free time, relation to some kinds of products and overall position of the men and women in the society. Methods that are used in this thesis are analysis of MML-TGI data, content analysis of television advertisings and interview. Results of all the three methods are summarized and evaluated in the end.